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23042402304 = 211319197389
BaseRepresentation
bin10101011101011011…
…110010100000000000
32012110212100022121120
4111131123302200000
5334142323333204
614330250352240
71444004121315
oct253533624000
965425308546
1023042402304
119854920999
124570a2b680
132232ab729c
1411883a8d0c
158ecdd86d9
hex55d6f2800

23042402304 has 96 divisors (see below), whose sum is σ = 64664964000. Its totient is φ = 7276511232.

The previous prime is 23042402291. The next prime is 23042402309. The reversal of 23042402304 is 40320424032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23042402309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18042 + ... + 215430.

It is an arithmetic number, because the mean of its divisors is an integer number (673593375).

Almost surely, 223042402304 is an apocalyptic number.

23042402304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23042402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32332482000).

23042402304 is an abundant number, since it is smaller than the sum of its proper divisors (41622561696).

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

23042402304 is a wasteful number, since it uses less digits than its factorization.

23042402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197433 (or 197413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23042402304 its reverse (40320424032), we get a palindrome (63362826336).

The spelling of 23042402304 in words is "twenty-three billion, forty-two million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 58368 116736 197389 394778 592167 789556 1184334 1579112 2368668 3158224 3750391 4737336 6316448 7500782 9474672 11251173 12632896 15001564 18949344 22502346 25265792 30003128 37898688 45004692 50531584 60006256 75797376 90009384 101063168 120012512 151594752 180018768 202126336 240025024 303189504 360037536 404252672 480050048 606379008 720075072 960100096 1212758016 1440150144 1920200192 2880300288 3840400384 5760600576 7680800768 11521201152 23042402304