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31401062784 = 273273136113
BaseRepresentation
bin11101001111101001…
…100011000110000000
310000001101122021012100
4131033221203012000
51003302133002114
622231521430400
72161101426000
oct351751430600
9100041567170
1031401062784
1112354099263
12610419b400
132c65726530
14173c556000
15c3bb2d909
hex74fa63180

31401062784 has 384 divisors, whose sum is σ = 113500296000. Its totient is φ = 8280244224.

The previous prime is 31401062741. The next prime is 31401062789. The reversal of 31401062784 is 48726010413.

31401062784 is a `hidden beast` number, since 3 + 14 + 0 + 10 + 627 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401062789) 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, 5133712 + ... + 5139824.

Almost surely, 231401062784 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 31401062784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56750148000).

31401062784 is an abundant number, since it is smaller than the sum of its proper divisors (82099233216).

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

31401062784 is a wasteful number, since it uses less digits than its factorization.

31401062784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31401062784 in words is "thirty-one billion, four hundred one million, sixty-two thousand, seven hundred eighty-four".