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138917871045 = 3451496193719
BaseRepresentation
bin1000000101100000100…
…1100111110111000101
3111021120102111000220000
42001120021213313011
54234000433333140
6143452404031513
713015341264252
oct2013011476705
9437512430800
10138917871045
1153a07575698
1222b0b392599
131013b62a6c5
146a1ba22429
153930c1aa30
hex2058267dc5

138917871045 has 80 divisors (see below), whose sum is σ = 251166960000. Its totient is φ = 73453640832.

The previous prime is 138917871023. The next prime is 138917871047. The reversal of 138917871045 is 540178719831.

It is not a de Polignac number, because 138917871045 - 215 = 138917838277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138917870982 and 138917871000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138917871047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37351696 + ... + 37355414.

It is an arithmetic number, because the mean of its divisors is an integer number (3139587000).

Almost surely, 2138917871045 is an apocalyptic number.

138917871045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138917871045 is a deficient number, since it is larger than the sum of its proper divisors (112249088955).

138917871045 is a wasteful number, since it uses less digits than its factorization.

138917871045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 138917871045 in words is "one hundred thirty-eight billion, nine hundred seventeen million, eight hundred seventy-one thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 149 405 447 619 745 1341 1857 2235 3095 3719 4023 5571 6705 9285 11157 12069 16713 18595 20115 27855 33471 50139 55785 60345 83565 92231 100413 167355 250695 276693 301239 461155 502065 554131 830079 1383465 1506195 1662393 2302061 2490237 2770655 4150395 4987179 6906183 7470711 8311965 11510305 12451185 14961537 20718549 24935895 34530915 37353555 44884611 62155647 74807685 103592745 186466941 224423055 310778235 343007089 932334705 1029021267 1715035445 3087063801 5145106335 9261191403 15435319005 27783574209 46305957015 138917871045