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14410097988 = 223111321314931
BaseRepresentation
bin11010110101110100…
…01010010101000100
31101012021010211020220
431122322022111010
5214002441113423
610341522224340
71020044545326
oct153272122504
941167124226
1014410097988
1161251409a0
122961ab50b0
131488577800
149a9b49616
1559513d9e3
hex35ae8a544

14410097988 has 144 divisors (see below), whose sum is σ = 40030163712. Its totient is φ = 3999216000.

The previous prime is 14410097953. The next prime is 14410097993. The reversal of 14410097988 is 88979001441.

It is a self number, because there is not a number n which added to its sum of digits gives 14410097988.

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, 2919883 + ... + 2924813.

It is an arithmetic number, because the mean of its divisors is an integer number (277987248).

Almost surely, 214410097988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410097988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015081856).

14410097988 is an abundant number, since it is smaller than the sum of its proper divisors (25620065724).

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

14410097988 is a wasteful number, since it uses less digits than its factorization.

14410097988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 14410097988 in words is "fourteen billion, four hundred ten million, ninety-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 131 132 143 156 169 262 286 338 393 429 507 524 572 676 786 858 1014 1441 1572 1703 1716 1859 2028 2882 3406 3718 4323 4931 5109 5577 5764 6812 7436 8646 9862 10218 11154 14793 17292 18733 19724 20436 22139 22308 29586 37466 44278 54241 56199 59172 64103 66417 74932 88556 108482 112398 128206 132834 162723 192309 216964 224796 243529 256412 265668 325446 384618 487058 645961 650892 705133 730587 769236 833339 974116 1291922 1410266 1461174 1666678 1937883 2115399 2500017 2583844 2820532 2922348 3333356 3875766 4230798 5000034 7105571 7751532 8397493 8461596 9166729 10000068 14211142 16794986 18333458 21316713 25192479 27500187 28422284 33589972 36666916 42633426 50384958 55000374 85266852 92372423 100769916 109167409 110000748 184744846 218334818 277117269 327502227 369489692 436669636 554234538 655004454 1108469076 1200841499 1310008908 2401682998 3602524497 4803365996 7205048994 14410097988