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31214142121312 = 2517215326650691
BaseRepresentation
bin1110001100011100110111…
…10110100110010101100000
311002112001011020022001211101
413012032123312212111200
513042403030340340222
6150215325014324144
76401101353214513
oct706163366462540
9132461136261741
1031214142121312
119a44930527207
123601615059654
131455633906877
1479cab5bc4d7a
15391e4131c927
hex1c639bda6560

31214142121312 has 48 divisors (see below), whose sum is σ = 65097939704112. Its totient is φ = 14682184929280.

The previous prime is 31214142121307. The next prime is 31214142121433. The reversal of 31214142121312 is 21312124141213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12154114 + ... + 14496577.

It is an arithmetic number, because the mean of its divisors is an integer number (1356207077169).

Almost surely, 231214142121312 is an apocalyptic number.

31214142121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31214142121312 is an abundant number, since it is smaller than the sum of its proper divisors (33883797582800).

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

31214142121312 is a wasteful number, since it uses less digits than its factorization.

31214142121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26652871 (or 26652863 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 31214142121312 its reverse (21312124141213), we get a palindrome (52526266262525).

The spelling of 31214142121312 in words is "thirty-one trillion, two hundred fourteen billion, one hundred forty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2153 4306 8612 17224 34448 36601 68896 73202 146404 292808 585616 1171232 26650691 53301382 106602764 213205528 426411056 453061747 852822112 906123494 1812246988 3624493976 7248987952 14497975904 57378937723 114757875446 229515750892 459031501784 918063003568 975441941291 1836126007136 1950883882582 3901767765164 7803535530328 15607071060656 31214142121312