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31143717346896 = 2436721122953293
BaseRepresentation
bin1110001010011001101100…
…01101011001111001010000
311002021022101012122212000000
413011030312031121321100
513040224313120100041
6150123120511130000
76363026230420500
oct705146615317120
9132238335585000
1031143717346896
119a17a81588900
1235aba3bb13900
13144babc48530b
147995149d9a00
153901bd7a2bb6
hex1c5336359e50

31143717346896 has 2520 divisors, whose sum is σ = 122340625714440. Its totient is φ = 7636818309120.

The previous prime is 31143717346871. The next prime is 31143717346969. The reversal of 31143717346896 is 69864371734113.

31143717346896 is a `hidden beast` number, since 3 + 1 + 1 + 437 + 1 + 73 + 46 + 8 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15867188756496 + 15276528590400 = 3983364^2 + 3908520^2 .

It is a super-2 number, since 2×311437173468962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 106292550526 + ... + 106292550818.

It is an arithmetic number, because the mean of its divisors is an integer number (48547867347).

Almost surely, 231143717346896 is an apocalyptic number.

31143717346896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143717346896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61170312857220).

31143717346896 is an abundant number, since it is smaller than the sum of its proper divisors (91196908367544).

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

31143717346896 is a wasteful number, since it uses less digits than its factorization.

31143717346896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 398 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 31143717346896 in words is "thirty-one trillion, one hundred forty-three billion, seven hundred seventeen million, three hundred forty-six thousand, eight hundred ninety-six".