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142761896786601 = 34139295512
BaseRepresentation
bin100000011101011101011000…
…001001010011101010101001
3200201110220102001022100010000
4200131131120021103222221
5122203002331034132401
61223343524320213213
742033130613442351
oct4035353011235251
9621426361270100
10142761896786601
1141540a86a39614
121401826646a209
136187509b18c01
1427379d9803b61
15117887059a186
hex81d758253aa9

142761896786601 has 45 divisors (see below), whose sum is σ = 214829385692493. Its totient is φ = 94479995327400.

The previous prime is 142761896786599. The next prime is 142761896786609. The reversal of 142761896786601 is 106687698167241.

The square root of 142761896786601 is 11948301.

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

142761896786601 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 6 + 1 + 8 + 9 + 6 + 7 + 8 + 6 + 601 = 666.

It is not a de Polignac number, because 142761896786601 - 21 = 142761896786599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142761896786601.

It is not an unprimeable number, because it can be changed into a prime (142761896786609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14947319776 + ... + 14947329326.

Almost surely, 2142761896786601 is an apocalyptic number.

142761896786601 is the 11948301-st square number.

142761896786601 is the 5974151-st centered octagonal number.

It is an amenable number.

142761896786601 is a deficient number, since it is larger than the sum of its proper divisors (72067488905892).

142761896786601 is an frugal number, since it uses more digits than its factorization.

142761896786601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 142761896786601 in words is "one hundred forty-two trillion, seven hundred sixty-one billion, eight hundred ninety-six million, seven hundred eighty-six thousand, six hundred one".

Divisors: 1 3 9 27 81 139 417 1251 3753 9551 11259 19321 28653 57963 85959 173889 257877 521667 773631 1327589 1565001 3982767 11948301 35844903 91221601 107534709 184534871 273664803 553604613 820994409 1660813839 2462983227 4982441517 7388949681 12679802539 14947324551 38039407617 114118222851 342354668553 1027064005659 1762492552921 5287477658763 15862432976289 47587298928867 142761896786601