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140300100211410 = 2345615208154521
BaseRepresentation
bin11111111001101000101001…
…101000101001001011010010
3200101202120002012201211120000
4133321220221220221023102
5121342134101123231120
61214220550512030430
741360230163014116
oct3771505150511322
9611676065654500
10140300100211410
1140781a35a53897
121389b123832416
1360393202280a9
1426907bd877746
1511347da892990
hex7f9a29a292d2

140300100211410 has 160 divisors (see below), whose sum is σ = 383450224672944. Its totient is φ = 36798644736000.

The previous prime is 140300100211379. The next prime is 140300100211441. The reversal of 140300100211410 is 14112001003041.

140300100211410 is a `hidden beast` number, since 1 + 4 + 0 + 30 + 0 + 10 + 0 + 211 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (140300100211379) and next prime (140300100211441).

It can be written as a sum of positive squares in 8 ways, for example, as 2086242250689 + 138213857960721 = 1444383^2 + 11756439^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2573294950 + ... + 2573349470.

Almost surely, 2140300100211410 is an apocalyptic number.

140300100211410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140300100211410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191725112336472).

140300100211410 is an abundant number, since it is smaller than the sum of its proper divisors (243150124461534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140300100211410 is a wasteful number, since it uses less digits than its factorization.

140300100211410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106682 (or 106673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 140300100211410 its reverse (14112001003041), we get a palindrome (154412101214451).

The spelling of 140300100211410 in words is "one hundred forty trillion, three hundred billion, one hundred million, two hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1647 1830 2745 3294 4941 5490 8235 9882 16470 24705 49410 52081 54521 104162 109042 156243 163563 260405 272605 312486 327126 468729 490689 520810 545210 781215 817815 937458 981378 1406187 1472067 1562430 1635630 2343645 2453445 2812374 2944134 3176941 3325781 4218561 4416201 4687290 4906890 6353882 6651562 7030935 7360335 8437122 8832402 9530823 9977343 14061870 14720670 15884705 16628905 19061646 19954686 21092805 22081005 28592469 29932029 31769410 33257810 42185610 44162010 47654115 49886715 57184938 59864058 85777407 89796087 95308230 99773430 142962345 149660145 171554814 179592174 257332221 269388261 285924690 299320290 428887035 448980435 514664442 538776522 857774070 897960870 1286661105 1346941305 2573322210 2693882610 2839508201 5679016402 8518524603 14197541005 17037049206 25555573809 28395082010 42592623015 51111147618 76666721427 85185246030 127777869045 153333442854 173210000261 230000164281 255555738090 346420000522 383333607135 460000328562 519630000783 766667214270 866050001305 1039260001566 1150000821405 1558890002349 1732100002610 2300001642810 2598150003915 3117780004698 4676670007047 5196300007830 7794450011745 9353340014094 14030010021141 15588900023490 23383350035235 28060020042282 46766700070470 70150050105705 140300100211410