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31413516340016 = 2419531949696893
BaseRepresentation
bin1110010010010000001110…
…11110111000101100110000
311010020002202222001202202202
413021020013132320230300
513104134340140340031
6150451100432002332
76421360135134326
oct711100736705460
9133202688052682
1031413516340016
11a011441030688
1236341970903a8
13146b3883a1445
147a85cab2bd16
1539720e8802cb
hex1c92077b8b30

31413516340016 has 40 divisors (see below), whose sum is σ = 65275852011120. Its totient is φ = 14599330327296.

The previous prime is 31413516339941. The next prime is 31413516340057. The reversal of 31413516340016 is 61004361531413.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974832335 + ... + 974864558.

It is an arithmetic number, because the mean of its divisors is an integer number (1631896300278).

Almost surely, 231413516340016 is an apocalyptic number.

It is an amenable number.

31413516340016 is an abundant number, since it is smaller than the sum of its proper divisors (33862335671104).

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

31413516340016 is a wasteful number, since it uses less digits than its factorization.

31413516340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949696973 (or 1949696967 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 31413516340016 its reverse (61004361531413), we get a palindrome (92417877871429).

The spelling of 31413516340016 in words is "thirty-one trillion, four hundred thirteen billion, five hundred sixteen million, three hundred forty thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 16112 1949696893 3899393786 7798787572 15597575144 31195150288 37044240967 74088481934 103333935329 148176963868 206667870658 296353927736 413335741316 592707855472 826671482632 1653342965264 1963344771251 3926689542502 7853379085004 15706758170008 31413516340016