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142088590917 = 32713234938239
BaseRepresentation
bin1000010001010100100…
…0111101011001000101
3111120202101202021212100
42010111020331121011
54311444134402132
6145135151342313
713160042044440
oct2042510753105
9446671667770
10142088590917
115529433a439
1223655221999
13105254b6b00
146c3cb88657
153a6928337c
hex211523d645

142088590917 has 72 divisors (see below), whose sum is σ = 254724288000. Its totient is φ = 74731123584.

The previous prime is 142088590909. The next prime is 142088590921. The reversal of 142088590917 is 719095880241.

It is a happy number.

142088590917 is a `hidden beast` number, since 1 + 42 + 0 + 8 + 8 + 590 + 9 + 1 + 7 = 666.

It is not a de Polignac number, because 142088590917 - 23 = 142088590909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142088590927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3696684 + ... + 3734922.

Almost surely, 2142088590917 is an apocalyptic number.

It is an amenable number.

142088590917 is a deficient number, since it is larger than the sum of its proper divisors (112635697083).

142088590917 is a wasteful number, since it uses less digits than its factorization.

142088590917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38627 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 142088590917 in words is "one hundred forty-two billion, eighty-eight million, five hundred ninety thousand, nine hundred seventeen".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 349 507 819 1047 1183 1521 2443 3141 3549 4537 7329 10647 13611 21987 31759 38239 40833 58981 95277 114717 176943 267673 285831 344151 412867 497107 530829 803019 1238601 1491321 2409057 3479749 3715803 4473963 6462391 10439247 13345411 19387173 31317741 40036233 45236737 58161519 93417877 120108699 135710211 173490343 280253631 407130633 520471029 840760893 1214432401 1561413087 2255374459 3643297203 6766123377 10929891609 15787621213 20298370131 47362863639 142088590917