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13972150374 = 23721321791571
BaseRepresentation
bin11010000001100111…
…00001100001100110
31100001202001210001220
431000303201201212
5212103332302444
610230235401210
71003146214200
oct150063414146
940052053056
1013972150374
115a1aa07416
12285b2b3206
13141890a900
14967907770
1556b981619
hex340ce1866

13972150374 has 144 divisors (see below), whose sum is σ = 35418669120. Its totient is φ = 3662043840.

The previous prime is 13972150369. The next prime is 13972150391. The reversal of 13972150374 is 47305127931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8893009 + ... + 8894579.

It is an arithmetic number, because the mean of its divisors is an integer number (245962980).

Almost surely, 213972150374 is an apocalyptic number.

13972150374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972150374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709334560).

13972150374 is an abundant number, since it is smaller than the sum of its proper divisors (21446518746).

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

13972150374 is a wasteful number, since it uses less digits than its factorization.

13972150374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 13972150374 in words is "thirteen billion, nine hundred seventy-two million, one hundred fifty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 169 179 182 273 294 338 358 507 537 546 637 1014 1074 1183 1253 1274 1571 1911 2327 2366 2506 3142 3549 3759 3822 4654 4713 6981 7098 7518 8281 8771 9426 10997 13962 16289 16562 17542 20423 21994 24843 26313 30251 32578 32991 40846 48867 49686 52626 60502 61269 65982 76979 90753 97734 114023 122538 142961 153958 181506 211757 228046 230937 265499 281209 285922 342069 423514 428883 461874 530998 562418 635271 684138 796497 843627 857766 1000727 1270542 1482299 1592994 1687254 1858493 1968463 2001454 2964598 3002181 3655717 3716986 3936926 4446897 5575479 5905389 6004362 7311434 8893794 10967151 11150958 11810778 13009451 13779241 21934302 25590019 26018902 27558482 39028353 41337723 47524321 51180038 76770057 78056706 82675446 95048642 142572963 153540114 179130133 285145926 332670247 358260266 537390399 665340494 998010741 1074780798 1996021482 2328691729 4657383458 6986075187 13972150374