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138114255688456 = 23192257186083641
BaseRepresentation
bin11111011001110100111011…
…001001100001001100001000
3200010000121000221122001002011
4133121310323021201030020
5121100330443424012311
61205424451345545304
741043266003101315
oct3731647311411410
9603017027561064
10138114255688456
1140009a21783273
12135a7574945234
135c0b17024c598
142616aa0cd1d0c
1510e7a07036321
hex7d9d3b261308

138114255688456 has 48 divisors (see below), whose sum is σ = 274374747619740. Its totient is φ = 65167979397120.

The previous prime is 138114255688429. The next prime is 138114255688463. The reversal of 138114255688456 is 654886552411831.

It can be written as a sum of positive squares in 2 ways, for example, as 137823702347556 + 290553340900 = 11739834^2 + 539030^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138114255688391 and 138114255688400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92299605 + ... + 93784036.

Almost surely, 2138114255688456 is an apocalyptic number.

It is an amenable number.

138114255688456 is a deficient number, since it is larger than the sum of its proper divisors (136260491931284).

138114255688456 is a wasteful number, since it uses less digits than its factorization.

138114255688456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186083942 (or 186083919 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 67.

The spelling of 138114255688456 in words is "one hundred thirty-eight trillion, one hundred fourteen billion, two hundred fifty-five million, six hundred eighty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 8 19 38 76 152 257 361 514 722 1028 1444 2056 2888 4883 9766 19532 39064 92777 185554 371108 742216 186083641 372167282 744334564 1488669128 3535589179 7071178358 14142356716 28284713432 47823495737 67176194401 95646991474 134352388802 191293982948 268704777604 382587965896 537409555208 908646419003 1817292838006 3634585676012 7269171352024 17264281961057 34528563922114 69057127844228 138114255688456