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23113141344 = 25352972369
BaseRepresentation
bin10101100001101001…
…101000110001100000
32012122210110020100000
4111201221220301200
5334313431010334
614341254500000
71445523313506
oct254151506140
965583406300
1023113141344
119890847207
124590664600
1322446542c7
141193940676
1590420d299
hex561a68c60

23113141344 has 72 divisors (see below), whose sum is σ = 68162388840. Its totient is φ = 7704377856.

The previous prime is 23113141343. The next prime is 23113141349. The reversal of 23113141344 is 44314131132.

23113141344 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 314 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113141343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1478409 + ... + 1493960.

It is an arithmetic number, because the mean of its divisors is an integer number (946699845).

Almost surely, 223113141344 is an apocalyptic number.

23113141344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23113141344 is an abundant number, since it is smaller than the sum of its proper divisors (45049247496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23113141344 is an equidigital number, since it uses as much as digits as its factorization.

23113141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972394 (or 2972374 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 23113141344 its reverse (44314131132), we get a palindrome (67427272476).

The spelling of 23113141344 in words is "twenty-three billion, one hundred thirteen million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 2972369 5944738 8917107 11889476 17834214 23778952 26751321 35668428 47557904 53502642 71336856 80253963 95115808 107005284 142673712 160507926 214010568 240761889 285347424 321015852 428021136 481523778 642031704 722285667 856042272 963047556 1284063408 1444571334 1926095112 2568126816 2889142668 3852190224 5778285336 7704380448 11556570672 23113141344