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23404014240 = 2535172868139
BaseRepresentation
bin10101110010111111…
…001110101010100000
32020102001210002221020
4111302333032222200
5340412411423430
614430205125440
71455654560445
oct256277165240
966361702836
1023404014240
119a1aa57332
124651b59880
13228c9a7949
1411c04199cc
1591ea17b10
hex572fceaa0

23404014240 has 96 divisors (see below), whose sum is σ = 78059298240. Its totient is φ = 5873946624.

The previous prime is 23404014211. The next prime is 23404014259. The reversal of 23404014240 is 4241040432.

It is a happy number.

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

It is a super-2 number, since 2×234040142402 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23404014240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425910 + ... + 1442229.

It is an arithmetic number, because the mean of its divisors is an integer number (813117690).

Almost surely, 223404014240 is an apocalyptic number.

23404014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23404014240 is an abundant number, since it is smaller than the sum of its proper divisors (54655284000).

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

23404014240 is a wasteful number, since it uses less digits than its factorization.

23404014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868174 (or 2868166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23404014240 its reverse (4241040432), we get a palindrome (27645054672).

The spelling of 23404014240 in words is "twenty-three billion, four hundred four million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 2868139 5736278 8604417 11472556 14340695 17208834 22945112 28681390 34417668 43022085 45890224 48758363 57362780 68835336 86044170 91780448 97516726 114725560 137670672 146275089 172088340 195033452 229451120 243791815 275341344 292550178 344176680 390066904 458902240 487583630 585100356 688353360 731375445 780133808 975167260 1170200712 1376706720 1462750890 1560267616 1950334520 2340401424 2925501780 3900669040 4680802848 5851003560 7801338080 11702007120 23404014240