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140022030310020 = 223253127790590447
BaseRepresentation
bin11111110101100101101011…
…011000001001101010000100
3200100202222100001011020121100
4133311211223120021222010
5121323110104224410040
61213445122133020100
741331154304604135
oct3765455330115204
9610688301136540
10140022030310020
114068501181a231
121385525a784630
1360190369157c1
1426811610bbc8c
15112c463605b30
hex7f596b609a84

140022030310020 has 144 divisors (see below), whose sum is σ = 440017373472768. Its totient is φ = 36004266858240.

The previous prime is 140022030309949. The next prime is 140022030310037. The reversal of 140022030310020 is 20013030220041.

140022030310020 is a `hidden beast` number, since 1 + 40 + 0 + 220 + 303 + 100 + 2 + 0 = 666.

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 = 140022030309975 and 140022030310002.

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, 43749564 + ... + 46840883.

It is an arithmetic number, because the mean of its divisors is an integer number (3055676204672).

Almost surely, 2140022030310020 is an apocalyptic number.

140022030310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022030310020 is an abundant number, since it is smaller than the sum of its proper divisors (299995343162748).

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

140022030310020 is a wasteful number, since it uses less digits than its factorization.

140022030310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90590770 (or 90590765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140022030310020 its reverse (20013030220041), we get a palindrome (160035060530061).

The spelling of 140022030310020 in words is "one hundred forty trillion, twenty-two billion, thirty million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 277 279 310 372 465 554 558 620 831 930 1108 1116 1385 1395 1662 1860 2493 2770 2790 3324 4155 4986 5540 5580 8310 8587 9972 12465 16620 17174 24930 25761 34348 42935 49860 51522 77283 85870 103044 128805 154566 171740 257610 309132 386415 515220 772830 1545660 90590447 181180894 271771341 362361788 452952235 543542682 815314023 905904470 1087085364 1358856705 1630628046 1811808940 2717713410 2808303857 3261256092 4076570115 5435426820 5616607714 8153140230 8424911571 11233215428 14041519285 16306280460 16849823142 25093553819 25274734713 28083038570 33699646284 42124557855 50187107638 50549469426 56166077140 75280661457 84249115710 100374215276 101098938852 125467769095 126373673565 150561322914 168498231420 225841984371 250935538190 252747347130 301122645828 376403307285 451683968742 501871076380 505494694260 752806614570 777900168389 903367937484 1129209921855 1505613229140 1555800336778 2258419843710 2333700505167 3111600673556 3889500841945 4516839687420 4667401010334 7001101515501 7779001683890 9334802020668 11668502525835 14002203031002 15558003367780 23337005051670 28004406062004 35005507577505 46674010103340 70011015155010 140022030310020