Search a number
-
+
139180103856 = 243219352714423
BaseRepresentation
bin1000000110011111000…
…1111101100010110000
3111022020200220211200100
42001213301331202300
54240020101310411
6143534412352400
713025004235353
oct2014761754260
9438220824610
10139180103856
11540315a4022
1222b83175700
1310180a64051
146a447a429a
153948c69456
hex2067c7d8b0

139180103856 has 120 divisors (see below), whose sum is σ = 410156248320. Its totient is φ = 43936103808.

The previous prime is 139180103819. The next prime is 139180103869. The reversal of 139180103856 is 658301081931.

It is a happy number.

139180103856 is a `hidden beast` number, since 1 + 391 + 80 + 103 + 85 + 6 = 666.

It is a super-2 number, since 2×1391801038562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9642661 + ... + 9657083.

It is an arithmetic number, because the mean of its divisors is an integer number (3417968736).

Almost surely, 2139180103856 is an apocalyptic number.

139180103856 is a gapful number since it is divisible by the number (16) 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 139180103856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205078124160).

139180103856 is an abundant number, since it is smaller than the sum of its proper divisors (270976144464).

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

139180103856 is a wasteful number, since it uses less digits than its factorization.

139180103856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 139180103856 in words is "one hundred thirty-nine billion, one hundred eighty million, one hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3527 7054 10581 14108 14423 21162 28216 28846 31743 42324 43269 56432 57692 63486 67013 84648 86538 115384 126972 129807 134026 169296 173076 201039 230768 253944 259614 268052 274037 346152 402078 507888 519228 536104 548074 603117 692304 804156 822111 1038456 1072208 1096148 1206234 1608312 1644222 2076912 2192296 2412468 2466333 3216624 3288444 4384592 4824936 4932666 6576888 9649872 9865332 13153776 19730664 39461328 50869921 101739842 152609763 203479684 305219526 406959368 457829289 610439052 813918736 915658578 966528499 1220878104 1831317156 1933056998 2441756208 2899585497 3662634312 3866113996 5799170994 7325268624 7732227992 8698756491 11598341988 15464455984 17397512982 23196683976 34795025964 46393367952 69590051928 139180103856