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12311542035144 = 23321115799011951
BaseRepresentation
bin1011001100101000000100…
…0101101111001011001000
31121120222020112101021012200
42303022001011233023020
53103203014230111034
642103502213040200
72410323326430162
oct263120105571310
947528215337180
1012311542035144
113a17328576a20
12146a086626060
136b3c86827b91
14307c4b9a9932
151653b8a3ba99
hexb328116f2c8

12311542035144 has 96 divisors (see below), whose sum is σ = 36606698893440. Its totient is φ = 3707007408000.

The previous prime is 12311542035113. The next prime is 12311542035151. The reversal of 12311542035144 is 44153024511321.

12311542035144 is a `hidden beast` number, since 1 + 2 + 3 + 115 + 4 + 20 + 3 + 514 + 4 = 666.

It is a super-2 number, since 2×123115420351442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12311542035099 and 12311542035108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49381632 + ... + 49630319.

It is an arithmetic number, because the mean of its divisors is an integer number (381319780140).

Almost surely, 212311542035144 is an apocalyptic number.

It is an amenable number.

12311542035144 is an abundant number, since it is smaller than the sum of its proper divisors (24295156858296).

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

12311542035144 is a wasteful number, since it uses less digits than its factorization.

12311542035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99012131 (or 99012124 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12311542035144 its reverse (44153024511321), we get a palindrome (56464566546465).

The spelling of 12311542035144 in words is "twelve trillion, three hundred eleven billion, five hundred forty-two million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 792 942 1256 1413 1727 1884 2826 3454 3768 5181 5652 6908 10362 11304 13816 15543 20724 31086 41448 62172 124344 99011951 198023902 297035853 396047804 594071706 792095608 891107559 1089131461 1188143412 1782215118 2178262922 2376286824 3267394383 3564430236 4356525844 6534788766 7128860472 8713051688 9802183149 13069577532 15544876307 19604366298 26139155064 31089752614 39208732596 46634628921 62179505228 78417465192 93269257842 124359010456 139903886763 170993639377 186538515684 279807773526 341987278754 373077031368 512980918131 559615547052 683974557508 1025961836262 1119231094104 1367949115016 1538942754393 2051923672524 3077885508786 4103847345048 6155771017572 12311542035144