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31436316912 = 243721121329293
BaseRepresentation
bin11101010001110000…
…000010000011110000
310000010211222100202210
4131101300002003300
51003340144120122
622235221212120
72162010166500
oct352160020360
9100124870683
1031436316912
1112371a88200
126113b61040
132c6cb1ab70
1417430d1a00
15c3ec9440c
hex751c020f0

31436316912 has 720 divisors, whose sum is σ = 116076633120. Its totient is φ = 7252439040.

The previous prime is 31436316911. The next prime is 31436316931. The reversal of 31436316912 is 21961363413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31436316911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107291038 + ... + 107291330.

It is an arithmetic number, because the mean of its divisors is an integer number (161217546).

Almost surely, 231436316912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31436316912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58038316560).

31436316912 is an abundant number, since it is smaller than the sum of its proper divisors (84640316208).

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

31436316912 is a wasteful number, since it uses less digits than its factorization.

31436316912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The spelling of 31436316912 in words is "thirty-one billion, four hundred thirty-six million, three hundred sixteen thousand, nine hundred twelve".