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14414153251416 = 2334331344623651
BaseRepresentation
bin1101000111000000111001…
…1110111111101001011000
31220000222110010022222202020
43101300032132333221120
53342130141213021131
650353434240334440
73015250104041202
oct321601636775130
956028403288666
1014414153251416
11465800a809286
121749686914420
1380733086ac69
1437b9121db772
1519ee2a0ec996
hexd1c0e7bfa58

14414153251416 has 64 divisors (see below), whose sum is σ = 36991222561920. Its totient is φ = 4677986476800.

The previous prime is 14414153251361. The next prime is 14414153251441. The reversal of 14414153251416 is 61415235141441.

It is a super-3 number, since 3×144141532514163 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21988810 + ... + 22634841.

It is an arithmetic number, because the mean of its divisors is an integer number (577987852530).

Almost surely, 214414153251416 is an apocalyptic number.

It is an amenable number.

14414153251416 is an abundant number, since it is smaller than the sum of its proper divisors (22577069310504).

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

14414153251416 is a wasteful number, since it uses less digits than its factorization.

14414153251416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44624016 (or 44624012 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

Adding to 14414153251416 its reverse (61415235141441), we get a palindrome (75829388392857).

The spelling of 14414153251416 in words is "fourteen trillion, four hundred fourteen billion, one hundred fifty-three million, two hundred fifty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 313 344 516 626 939 1032 1252 1878 2504 3756 7512 13459 26918 40377 53836 80754 107672 161508 323016 44623651 89247302 133870953 178494604 267741906 356989208 535483812 1070967624 1918816993 3837633986 5756450979 7675267972 11512901958 13967202763 15350535944 23025803916 27934405526 41901608289 46051607832 55868811052 83803216578 111737622104 167606433156 335212866312 600589718809 1201179437618 1801769156427 2402358875236 3603538312854 4804717750472 7207076625708 14414153251416