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138234102277 = 1725371791609
BaseRepresentation
bin1000000010111101100…
…1010000001000000101
3111012210202211222110211
42000233121100020011
54231100412233102
6143300500315421
712662366324305
oct2005731201005
9435722758424
10138234102277
1153696602037
122295a3a2b71
131005ca821bb
146994cb1605
1538e0ba27d7
hex202f650205

138234102277 has 48 divisors (see below), whose sum is σ = 153737740800. Its totient is φ = 124179793920.

The previous prime is 138234102263. The next prime is 138234102283. The reversal of 138234102277 is 772201432831.

It is not a de Polignac number, because 138234102277 - 235 = 103874363909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138234172277) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85912249 + ... + 85913857.

It is an arithmetic number, because the mean of its divisors is an integer number (3202869600).

Almost surely, 2138234102277 is an apocalyptic number.

138234102277 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138234102277 is a deficient number, since it is larger than the sum of its proper divisors (15503638523).

138234102277 is a wasteful number, since it uses less digits than its factorization.

138234102277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 138234102277 in words is "one hundred thirty-eight billion, two hundred thirty-four million, one hundred two thousand, two hundred seventy-seven".

Divisors: 1 17 53 71 79 289 901 1207 1343 1609 3763 4187 5609 15317 20519 22831 27353 63971 71179 85277 95353 114239 127111 297277 465001 1087507 1210043 1449709 1621001 1942063 2160887 5053709 6054667 6736883 9024881 24645053 33015071 36735079 85913053 102929339 114527011 153422977 478318693 1749798763 1946959187 2608190609 8131417781 138234102277