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10144456231 = 721319978641
BaseRepresentation
bin10010111001010100…
…00001111000100111
3222011222120202211011
421130222001320213
5131233440044411
64354342523051
7506250312100
oct113452017047
928158522734
1010144456231
114336310128
121b71436487
13c588c7c30
146c34073a7
153e58e4c21
hex25ca81e27

10144456231 has 48 divisors (see below), whose sum is σ = 13516779360. Its totient is φ = 7524679680.

The previous prime is 10144456211. The next prime is 10144456243. The reversal of 10144456231 is 13265444101.

It is not a de Polignac number, because 10144456231 - 27 = 10144456103 is a prime.

It is a super-2 number, since 2×101444562312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144456193 and 10144456202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144456211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169671 + ... + 1178311.

It is an arithmetic number, because the mean of its divisors is an integer number (281599570).

Almost surely, 210144456231 is an apocalyptic number.

10144456231 is a deficient number, since it is larger than the sum of its proper divisors (3372323129).

10144456231 is a wasteful number, since it uses less digits than its factorization.

10144456231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 10144456231 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred thirty-one".

Divisors: 1 7 13 19 49 91 97 133 247 637 679 931 1261 1729 1843 4753 8641 8827 12103 12901 23959 60487 61789 90307 112333 164179 167713 423409 786331 838177 1149253 1173991 2134327 5504317 5867239 8044771 10896301 14940289 15925363 41070673 76274107 104582023 111477541 207029719 533918749 780342787 1449208033 10144456231