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142544757601 = 2924722772
BaseRepresentation
bin1000010011000001010…
…1000110001101100001
3111121221012002221220201
42010300111012031201
54313412424220401
6145252324505201
713204251306451
oct2046025061541
9447835087821
10142544757601
11554a88881a4
1223761b4b201
1310598b6261c
146c835add61
153a9433db01
hex2130546361

142544757601 has 27 divisors (see below), whose sum is σ = 151383979929. Its totient is φ = 134214849888.

The previous prime is 142544757587. The next prime is 142544757613. The reversal of 142544757601 is 106757445241.

The square root of 142544757601 is 377551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15221390625 + 127323366976 = 123375^2 + 356824^2 .

It is not a de Polignac number, because 142544757601 - 211 = 142544755553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142544757661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 514601875 + ... + 514602151.

Almost surely, 2142544757601 is an apocalyptic number.

142544757601 is the 377551-st square number.

142544757601 is the 188776-th centered octagonal number.

It is an amenable number.

142544757601 is a deficient number, since it is larger than the sum of its proper divisors (8839222328).

142544757601 is an frugal number, since it uses more digits than its factorization.

142544757601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 142544757601 in words is "one hundred forty-two billion, five hundred forty-four million, seven hundred fifty-seven thousand, six hundred one".

Divisors: 1 29 47 277 841 1363 2209 8033 13019 39527 64061 76729 232957 377551 611893 1857769 2225141 3606263 10948979 17744897 64529089 104581627 169494361 514602013 3032867183 4915336469 142544757601