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23144440005401 = 1121326954697273
BaseRepresentation
bin1010100001100101111000…
…01000000000001100011001
310000221120211211002022020112
411100302330020000030121
511013144303120133101
6121120224200134105
74606062541043321
oct520627410001431
9100846754068215
1023144440005401
117413558010700
12271966a167335
13cbb685504a50
145a02a8312281
152a208eed86bb
hex150cbc200319

23144440005401 has 24 divisors (see below), whose sum is σ = 27498507530760. Its totient is φ = 19349706942720.

The previous prime is 23144440005383. The next prime is 23144440005437. The reversal of 23144440005401 is 10450004444132.

It can be written as a sum of positive squares in 4 ways, for example, as 28729911001 + 23115710094400 = 169499^2 + 4807880^2 .

It is not a de Polignac number, because 23144440005401 - 234 = 23127260136217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23144440005481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26925500 + ... + 27771773.

It is an arithmetic number, because the mean of its divisors is an integer number (1145771147115).

Almost surely, 223144440005401 is an apocalyptic number.

It is an amenable number.

23144440005401 is a deficient number, since it is larger than the sum of its proper divisors (4354067525359).

23144440005401 is a wasteful number, since it uses less digits than its factorization.

23144440005401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54697577 (or 54697566 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 23144440005401 its reverse (10450004444132), we get a palindrome (33594444449533).

The spelling of 23144440005401 in words is "twenty-three trillion, one hundred forty-four billion, four hundred forty million, five thousand, four hundred one".

Divisors: 1 11 13 121 143 269 1573 2959 3497 32549 38467 423137 54697273 601670003 711064549 6618370033 7821710039 14713566437 86038810429 161849230807 191276363681 1780341538877 2104040000491 23144440005401