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31401469680 = 2435725383607
BaseRepresentation
bin11101001111101011…
…000110011011110000
310000001102101221100120
4131033223012123300
51003302234012210
622231534250240
72161105042200
oct351753063360
9100042357316
1031401469680
1112354346a39
126104356980
132c658397b9
14173c620400
15c3bbae270
hex74fac66f0

31401469680 has 480 divisors, whose sum is σ = 116956514304. Its totient is φ = 6945748992.

The previous prime is 31401469679. The next prime is 31401469681. The reversal of 31401469680 is 8696410413.

It is an interprime number because it is at equal distance from previous prime (31401469679) and next prime (31401469681).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401469681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51731937 + ... + 51732543.

Almost surely, 231401469680 is an apocalyptic number.

31401469680 is a gapful number since it is divisible by the number (30) 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 31401469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478257152).

31401469680 is an abundant number, since it is smaller than the sum of its proper divisors (85555044624).

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

31401469680 is a wasteful number, since it uses less digits than its factorization.

31401469680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 31401469680 in words is "thirty-one billion, four hundred one million, four hundred sixty-nine thousand, six hundred eighty".