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138944355576 = 233131574928277
BaseRepresentation
bin1000000101100110111…
…0101001110011111000
3111021122021022120211120
42001121232221303320
54234024223334301
6143455151425240
713016112351525
oct2013156516370
9437567276746
10138944355576
1153a20514934
1222b18225220
1310143c71520
146a2135814c
1539331ece36
hex2059ba9cf8

138944355576 has 64 divisors (see below), whose sum is σ = 374117940000. Its totient is φ = 42747883008.

The previous prime is 138944355559. The next prime is 138944355607. The reversal of 138944355576 is 675553449831.

It is a happy number.

138944355576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4899550 + ... + 4927826.

Almost surely, 2138944355576 is an apocalyptic number.

It is an amenable number.

138944355576 is an abundant number, since it is smaller than the sum of its proper divisors (235173584424).

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

138944355576 is a wasteful number, since it uses less digits than its factorization.

138944355576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44048 (or 44044 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 60.

The spelling of 138944355576 in words is "one hundred thirty-eight billion, nine hundred forty-four million, three hundred fifty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 15749 28277 31498 47247 56554 62996 84831 94494 113108 125992 169662 188988 204737 226216 339324 367601 377976 409474 614211 678648 735202 818948 1102803 1228422 1470404 1637896 2205606 2456844 2940808 4411212 4913688 8822424 445334473 890668946 1336003419 1781337892 2672006838 3562675784 5344013676 5789348149 10688027352 11578696298 17368044447 23157392596 34736088894 46314785192 69472177788 138944355576