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31423961913696 = 2533112417331249
BaseRepresentation
bin1110010010100011101100…
…00101100101100101100000
311010021002201221020220002000
413021101312011211211200
513104322233222214241
6150455545132524000
76422210033062032
oct711216605454540
9133232657226060
1031423961913696
11a015911308800
123636211320600
13146c361498981
147a8cdc119c52
15397621904eb6
hex1c9476165960

31423961913696 has 288 divisors, whose sum is σ = 103199953500000. Its totient is φ = 9290157465600.

The previous prime is 31423961913691. The next prime is 31423961913761. The reversal of 31423961913696 is 69631916932413.

31423961913696 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 9 + 619 + 1 + 3 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423961913691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620680 + ... + 7951928.

It is an arithmetic number, because the mean of its divisors is an integer number (358333171875).

Almost surely, 231423961913696 is an apocalyptic number.

31423961913696 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 31423961913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51599976750000).

31423961913696 is an abundant number, since it is smaller than the sum of its proper divisors (71775991586304).

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

31423961913696 is a wasteful number, since it uses less digits than its factorization.

31423961913696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331331 (or 7331306 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 31423961913696 in words is "thirty-one trillion, four hundred twenty-three billion, nine hundred sixty-one million, nine hundred thirteen thousand, six hundred ninety-six".