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139314474832 = 241329109211889
BaseRepresentation
bin1000000110111111001…
…0100010111101010000
3111022121001202121000011
42001233302202331100
54240304001143312
6144000012404304
713031225332441
oct2015762427520
9438531677004
10139314474832
11540a0430a15
1223000176694
13101a28501c0
146a585812c8
15395595cda7
hex206fca2f50

139314474832 has 80 divisors (see below), whose sum is σ = 303468858000. Its totient is φ = 61511933952.

The previous prime is 139314474809. The next prime is 139314474847. The reversal of 139314474832 is 238474413931.

It can be written as a sum of positive squares in 8 ways, for example, as 10192113936 + 129122360896 = 100956^2 + 359336^2 .

It is a super-2 number, since 2×1393144748322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551544 + ... + 763432.

It is an arithmetic number, because the mean of its divisors is an integer number (3793360725).

Almost surely, 2139314474832 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 139314474832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151734429000).

139314474832 is an abundant number, since it is smaller than the sum of its proper divisors (164154383168).

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

139314474832 is a wasteful number, since it uses less digits than its factorization.

139314474832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212048 (or 212042 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The spelling of 139314474832 in words is "one hundred thirty-nine billion, three hundred fourteen million, four hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 109 116 208 218 232 377 436 464 754 872 1417 1508 1744 2834 3016 3161 5668 6032 6322 11336 12644 22672 25288 41093 50576 82186 164372 211889 328744 423778 657488 847556 1695112 2754557 3390224 5509114 6144781 11018228 12289562 22036456 23095901 24579124 44072912 46191802 49158248 79882153 92383604 98316496 159764306 184767208 300246713 319528612 369534416 600493426 639057224 669781129 1200986852 1278114448 1339562258 2401973704 2679124516 4803947408 5358249032 8707154677 10716498064 17414309354 34828618708 69657237416 139314474832