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138459154201 = 233215972
BaseRepresentation
bin1000000011110011001…
…1110000011100011001
3111020101110022210200021
42000330303300130121
54232031020413301
6143335100110441
713001101251334
oct2007463603431
9436343283607
10138459154201
11537a1645965
1222a01835421
131009759b214
1469b6b3561b
1539058098a1
hex203ccf0719

138459154201 has 9 divisors (see below), whose sum is σ = 139143077661. Its totient is φ = 137778581472.

The previous prime is 138459154153. The next prime is 138459154241. The reversal of 138459154201 is 102451954831.

The square root of 138459154201 is 372101.

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 49261358601 + 89197795600 = 221949^2 + 298660^2 .

It is not a de Polignac number, because 138459154201 - 27 = 138459154073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138459154241) 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 8 ways as a sum of consecutive naturals, for example, 86698735 + ... + 86700331.

Almost surely, 2138459154201 is an apocalyptic number.

138459154201 is the 372101-st square number.

138459154201 is the 186051-st centered octagonal number.

It is an amenable number.

138459154201 is a deficient number, since it is larger than the sum of its proper divisors (683923460).

138459154201 is an frugal number, since it uses more digits than its factorization.

138459154201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 138459154201 in words is "one hundred thirty-eight billion, four hundred fifty-nine million, one hundred fifty-four thousand, two hundred one".

Divisors: 1 233 1597 54289 372101 2550409 86699533 594245297 138459154201