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138951934116 = 22329257124113
BaseRepresentation
bin1000000101101000101…
…1100100000010100100
3111021122210120121122020
42001122023210002210
54234033143342431
6143500022103140
713016233644432
oct2013213440244
9437583517566
10138951934116
1153a24820796
1222b1a87aab0
13101456c5b78
146a2236bd52
153933be8696
hex205a2e40a4

138951934116 has 72 divisors (see below), whose sum is σ = 336388756704. Its totient is φ = 44639992320.

The previous prime is 138951934073. The next prime is 138951934127. The reversal of 138951934116 is 611439159831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5750476 + ... + 5774588.

Almost surely, 2138951934116 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 138951934116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168194378352).

138951934116 is an abundant number, since it is smaller than the sum of its proper divisors (197436822588).

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

138951934116 is a wasteful number, since it uses less digits than its factorization.

138951934116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24749 (or 24718 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The spelling of 138951934116 in words is "one hundred thirty-eight billion, nine hundred fifty-one million, nine hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 571 841 1142 1682 1713 2284 2523 3364 3426 5046 6852 10092 16559 24113 33118 48226 49677 66236 72339 96452 99354 144678 198708 289356 480211 699277 960422 1398554 1440633 1920844 2097831 2797108 2881266 4195662 5762532 8391324 13768523 20279033 27537046 40558066 41305569 55074092 60837099 81116132 82611138 121674198 165222276 243348396 399287167 798574334 1197861501 1597148668 2395723002 4791446004 11579327843 23158655686 34737983529 46317311372 69475967058 138951934116