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31436523104 = 2572101198503
BaseRepresentation
bin11101010001110000…
…110100011001100000
310000010212100211121112
4131101300310121200
51003340222214404
622235225442452
72162012015600
oct352160643140
9100125324545
1031436523104
1112372109108
126114040428
132c6cb9097c
141743146c00
15c3ecd556e
hex751c34660

31436523104 has 72 divisors (see below), whose sum is σ = 72708442128. Its totient is φ = 13339334400.

The previous prime is 31436523103. The next prime is 31436523113. The reversal of 31436523104 is 40132563413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31436523103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59117 + ... + 257619.

It is an arithmetic number, because the mean of its divisors is an integer number (1009839474).

Almost surely, 231436523104 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 31436523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36354221064).

31436523104 is an abundant number, since it is smaller than the sum of its proper divisors (41271919024).

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

31436523104 is a wasteful number, since it uses less digits than its factorization.

31436523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198628 (or 198613 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 31436523104 in words is "thirty-one billion, four hundred thirty-six million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 196 202 224 392 404 707 784 808 1414 1568 1616 2828 3232 4949 5656 9898 11312 19796 22624 39592 79184 158368 198503 397006 794012 1389521 1588024 2779042 3176048 5558084 6352096 9726647 11116168 19453294 20048803 22232336 38906588 40097606 44464672 77813176 80195212 140341621 155626352 160390424 280683242 311252704 320780848 561366484 641561696 982391347 1122732968 1964782694 2245465936 3929565388 4490931872 7859130776 15718261552 31436523104