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142156712856601 = 972101212172
BaseRepresentation
bin100000010100101001110000…
…010111110100110000011001
3200122100001022201222100112101
4200110221300113310300121
5122113043421442402401
61222201520424243401
741641324603062652
oct4024516027646031
9618301281870471
10142156712856601
1141328361431753
1213b3ab0b610561
1361424221b1201
1427165c8ca0529
151167c50593101
hex814a705f4c19

142156712856601 has 27 divisors (see below), whose sum is σ = 145192891162647. Its totient is φ = 139183737446400.

The previous prime is 142156712856497. The next prime is 142156712856623. The reversal of 142156712856601 is 106658217651241.

The square root of 142156712856601 is 11922949.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23416898488201 + 118739814368400 = 4839101^2 + 10896780^2 .

It is a de Polignac number, because none of the positive numbers 2k-142156712856601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142156712856701) 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, 116809130745 + ... + 116809131961.

Almost surely, 2142156712856601 is an apocalyptic number.

142156712856601 is the 11922949-th square number.

142156712856601 is the 5961475-th centered octagonal number.

It is an amenable number.

142156712856601 is a deficient number, since it is larger than the sum of its proper divisors (3036178306046).

142156712856601 is an frugal number, since it uses more digits than its factorization.

142156712856601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 142156712856601 in words is "one hundred forty-two trillion, one hundred fifty-six billion, seven hundred twelve million, eight hundred fifty-six thousand, six hundred one".

Divisors: 1 97 101 1217 9409 9797 10201 118049 122917 950309 989497 1481089 11450753 11922949 12414617 95981209 143665633 149589989 1156526053 1204217849 13935566401 14510228933 15108588889 116809131353 1407492206501 1465533122233 142156712856601