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14461516734 = 237101107151211
BaseRepresentation
bin11010111011111100…
…10011101110111110
31101022211220011111220
431131332103232332
5214104122013414
610351000254210
71021240602240
oct153576235676
941284804456
1014461516734
116151170625
122977171366
13149610b8c2
149b28d2090
155998e8ca9
hex35df93bbe

14461516734 has 128 divisors (see below), whose sum is σ = 34078040064. Its totient is φ = 4006800000.

The previous prime is 14461516733. The next prime is 14461516747. The reversal of 14461516734 is 43761516441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14461516733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68537889 + ... + 68538099.

It is an arithmetic number, because the mean of its divisors is an integer number (266234688).

Almost surely, 214461516734 is an apocalyptic number.

14461516734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14461516734 is an abundant number, since it is smaller than the sum of its proper divisors (19616523330).

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

14461516734 is a wasteful number, since it uses less digits than its factorization.

14461516734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582.

The product of its digits is 241920, while the sum is 42.

The spelling of 14461516734 in words is "fourteen billion, four hundred sixty-one million, five hundred sixteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 101 107 151 202 211 214 302 303 321 422 453 606 633 642 707 749 906 1057 1266 1414 1477 1498 2114 2121 2247 2954 3171 4242 4431 4494 6342 8862 10807 15251 16157 21311 21614 22577 30502 31861 32314 32421 42622 45154 45753 48471 63722 63933 64842 67731 75649 91506 95583 96942 106757 113099 127866 135462 149177 151298 158039 191166 213514 223027 226198 226947 298354 316078 320271 339297 446054 447531 453894 474117 640542 669081 678594 895062 948234 1338162 1631857 2280277 3217961 3263714 3409127 4560554 4895571 6435922 6818254 6840831 9653883 9791142 10227381 11422999 13681662 15961939 19307766 20454762 22525727 22845998 23863889 31923878 34268997 45051454 47727778 47885817 67577181 68537994 71591667 95771634 135154362 143183334 344321827 688643654 1032965481 2065930962 2410252789 4820505578 7230758367 14461516734