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14300110033020 = 22325720115643607
BaseRepresentation
bin1101000000011000000011…
…1110101001000001111100
31212122002002020220020102200
43100012000332221001330
53333243111132024040
650225214014351500
73004102025503050
oct320060076510174
955562066806380
1014300110033020
114613708346369
12172b559abb590
137c96577c9c46
143761b4053c60
1519bea3094630
hexd0180fa907c

14300110033020 has 144 divisors (see below), whose sum is σ = 49598374844928. Its totient is φ = 3266970641280.

The previous prime is 14300110033009. The next prime is 14300110033031. The reversal of 14300110033020 is 2033001100341.

14300110033020 is a `hidden beast` number, since 1 + 4 + 300 + 1 + 10 + 0 + 330 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (14300110033009) and next prime (14300110033031).

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

It is a junction number, because it is equal to n+sod(n) for n = 14300110032984 and 14300110033002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287944 + ... + 5355663.

Almost surely, 214300110033020 is an apocalyptic number.

14300110033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300110033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799187422464).

14300110033020 is an abundant number, since it is smaller than the sum of its proper divisors (35298264811908).

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

14300110033020 is a wasteful number, since it uses less digits than its factorization.

14300110033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645640 (or 5645635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 14300110033020 its reverse (2033001100341), we get a palindrome (16333111133361).

The spelling of 14300110033020 in words is "fourteen trillion, three hundred billion, one hundred ten million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2011 4022 6033 8044 10055 12066 14077 18099 20110 24132 28154 30165 36198 40220 42231 56308 60330 70385 72396 84462 90495 120660 126693 140770 168924 180990 211155 253386 281540 361980 422310 506772 633465 844620 1266930 2533860 5643607 11287214 16930821 22574428 28218035 33861642 39505249 50792463 56436070 67723284 79010498 84654105 101584926 112872140 118515747 158020996 169308210 197526245 203169852 237031494 253962315 338616420 355547241 395052490 474062988 507924630 592578735 711094482 790104980 1015849260 1185157470 1422188964 1777736205 2370314940 3555472410 7110944820 11349293677 22698587354 34047881031 45397174708 56746468385 68095762062 79445055739 102143643093 113492936770 136191524124 158890111478 170239405155 204287286186 226985873540 238335167217 317780222956 340478810310 397225278695 408574572372 476670334434 510718215465 680957620620 715005501651 794450557390 953340668868 1021436430930 1191675836085 1430011003302 1588901114780 2042872861860 2383351672170 2860022006604 3575027508255 4766703344340 7150055016510 14300110033020