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142600056375 = 35371928310103
BaseRepresentation
bin1000010011001110100…
…0000010111000110111
3111122002001011102120110
42010303220002320313
54314021103301000
6145302022034103
713205522323410
oct2046350027067
9448061142513
10142600056375
1155527017a67
1223778578933
13105a74547aa
146c8aa86807
153a99113850
hex2133a02e37

142600056375 has 128 divisors (see below), whose sum is σ = 286494474240. Its totient is φ = 61533302400.

The previous prime is 142600056371. The next prime is 142600056433. The reversal of 142600056375 is 573650006241.

It is not a de Polignac number, because 142600056375 - 22 = 142600056371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142600056371) 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 127 ways as a sum of consecutive naturals, for example, 14109574 + ... + 14119676.

It is an arithmetic number, because the mean of its divisors is an integer number (2238238080).

Almost surely, 2142600056375 is an apocalyptic number.

142600056375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142600056375 is an abundant number, since it is smaller than the sum of its proper divisors (143894417865).

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

142600056375 is a wasteful number, since it uses less digits than its factorization.

142600056375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 142600056375 in words is "one hundred forty-two billion, six hundred million, fifty-six thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 95 105 125 133 175 283 285 375 399 475 525 665 849 875 1415 1425 1981 1995 2375 2625 3325 4245 5377 5943 7075 7125 9905 9975 10103 16131 16625 21225 26885 29715 30309 35375 37639 49525 49875 50515 70721 80655 106125 112917 134425 148575 151545 188195 191957 212163 247625 252575 353605 403275 564585 575871 672125 742875 757725 940975 959785 1060815 1262875 1343699 1768025 2016375 2822925 2859149 2879355 3788625 4031097 4704875 4798925 5304075 6718495 8577447 8840125 14114625 14295745 14396775 20014043 20155485 23994625 26520375 33592475 42887235 54323831 60042129 71478725 71983875 100070215 100777425 162971493 167962375 214436175 271619155 300210645 357393625 380266817 500351075 503887125 814857465 1072180875 1140800451 1358095775 1501053225 1901334085 2501755375 4074287325 5704002255 6790478875 7505266125 9506670425 20371436625 28520011275 47533352125 142600056375