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14974310988 = 22327136174933
BaseRepresentation
bin11011111001000100…
…11101101001001100
31102122120210210222200
431330202131221030
5221131410422423
610513515241500
71040035354230
oct157442355114
942576723880
1014974310988
11639467652a
122a9aa49290
131548423360
14a20a585c0
155c993cd43
hex37c89da4c

14974310988 has 144 divisors (see below), whose sum is σ = 47351094336. Its totient is φ = 3884474880.

The previous prime is 14974310983. The next prime is 14974310999. The reversal of 14974310988 is 88901347941.

14974310988 is a `hidden beast` number, since 1 + 497 + 43 + 109 + 8 + 8 = 666.

It is a super-2 number, since 2×149743109882 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14974310983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162370 + ... + 237302.

It is an arithmetic number, because the mean of its divisors is an integer number (328827044).

Almost surely, 214974310988 is an apocalyptic number.

14974310988 is a gapful number since it is divisible by the number (18) 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 14974310988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675547168).

14974310988 is an abundant number, since it is smaller than the sum of its proper divisors (32376783348).

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

14974310988 is a wasteful number, since it uses less digits than its factorization.

14974310988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75024 (or 75019 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14974310988 in words is "fourteen billion, nine hundred seventy-four million, three hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 61 63 78 84 91 117 122 126 156 182 183 234 244 252 273 364 366 427 468 546 549 732 793 819 854 1092 1098 1281 1586 1638 1708 2196 2379 2562 3172 3276 3843 4758 5124 5551 7137 7686 9516 11102 14274 15372 16653 22204 28548 33306 49959 66612 74933 99918 149866 199836 224799 299732 449598 524531 674397 899196 974129 1049062 1348794 1573593 1948258 2098124 2697588 2922387 3147186 3896516 4570913 4720779 5844774 6294372 6818903 8767161 9141826 9441558 11689548 13637806 13712739 17534322 18283652 18883116 20456709 27275612 27425478 31996391 35068644 40913418 41138217 54850956 59421869 61370127 63992782 81826836 82276434 95989173 118843738 122740254 127985564 164552868 178265607 191978346 237687476 245480508 287967519 356531214 383956692 415953083 534796821 575935038 713062428 831906166 1069593642 1151870076 1247859249 1663812332 2139187284 2495718498 3743577747 4991436996 7487155494 14974310988