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23144305405325 = 5213177357383761
BaseRepresentation
bin1010100001100101101000…
…00110100010110110001101
310000221120111102210220122112
411100302310012202312031
511013144014140432300
6121120202551153405
74606056315003266
oct520626406426615
9100846442726575
1023144305405325
117413499037675
122719631075865
13cbb663668530
145a02944b596d
152a208329be35
hex150cb41a2d8d

23144305405325 has 48 divisors (see below), whose sum is σ = 33172864207056. Its totient is φ = 15865461964800.

The previous prime is 23144305405313. The next prime is 23144305405339. The reversal of 23144305405325 is 52350450344132.

It can be written as a sum of positive squares in 24 ways, for example, as 6439804556329 + 16704500848996 = 2537677^2 + 4087114^2 .

It is not a de Polignac number, because 23144305405325 - 212 = 23144305401229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28288556 + ... + 29095205.

It is an arithmetic number, because the mean of its divisors is an integer number (691101337647).

Almost surely, 223144305405325 is an apocalyptic number.

23144305405325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23144305405325 is a deficient number, since it is larger than the sum of its proper divisors (10028558801731).

23144305405325 is a wasteful number, since it uses less digits than its factorization.

23144305405325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57383874 (or 57383869 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 23144305405325 its reverse (52350450344132), we get a palindrome (75494755749457).

The spelling of 23144305405325 in words is "twenty-three trillion, one hundred forty-four billion, three hundred five million, four hundred five thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 73 85 221 325 365 425 949 1105 1241 1825 4745 5525 6205 16133 23725 31025 80665 403325 57383761 286918805 745988893 975523937 1434594025 3729944465 4189014553 4877619685 12681811181 18649722325 20945072765 24388098425 54457189189 63409055905 71213247401 104725363825 272285945945 317045279525 356066237005 925772216213 1361429729725 1780331185025 4628861081065 23144305405325