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140120314323390 = 232517368993130439
BaseRepresentation
bin11111110111000001001101…
…100011111010000110111110
3200101010101000121212102201200
4133313001031203322012332
5121331212400431322030
61214002214520320330
741341234004125152
oct3767011543720676
9611111017772650
10140120314323390
1140712767563165
12138703099130a6
13602539aa6c22b
142685c06295062
15112ecb6d7ed60
hex7f704d8fa1be

140120314323390 has 96 divisors (see below), whose sum is σ = 366426791789760. Its totient is φ = 37148608831488.

The previous prime is 140120314323389. The next prime is 140120314323449. The reversal of 140120314323390 is 93323413021041.

140120314323390 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 0 + 314 + 3 + 2 + 339 + 0 = 666.

It is a super-2 number, since 2×1401203143233902 (a number of 29 digits) contains 22 as substring.

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, 1074155791 + ... + 1074286229.

It is an arithmetic number, because the mean of its divisors is an integer number (3816945747810).

Almost surely, 2140120314323390 is an apocalyptic number.

140120314323390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140120314323390 is an abundant number, since it is smaller than the sum of its proper divisors (226306477466370).

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

140120314323390 is a wasteful number, since it uses less digits than its factorization.

140120314323390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199618 (or 199615 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 140120314323390 in words is "one hundred forty trillion, one hundred twenty billion, three hundred fourteen million, three hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 15570 68993 130439 137986 206979 260878 344965 391317 413958 620937 652195 689930 782634 1034895 1173951 1241874 1304390 1956585 2069790 2347902 3104685 3913170 5869755 6209370 11739510 11935789 22565947 23871578 35807367 45131894 59678945 67697841 71614734 107422101 112829735 119357890 135395682 179036835 203093523 214844202 225659470 338489205 358073670 406187046 537110505 676978410 1015467615 1074221010 2030935230 8999377927 17998755854 26998133781 44996889635 53996267562 80994401343 89993779270 134990668905 161988802686 269981337810 404972006715 809944013430 1556892381371 3113784762742 4670677144113 7784461906855 9341354288226 14012031432339 15568923813710 23353385720565 28024062864678 46706771441130 70060157161695 140120314323390