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23444315040 = 2535167292469
BaseRepresentation
bin10101110101011000…
…111101101110100000
32020111212121121020110
4111311120331232200
5341003221040130
614434205011320
71456654250466
oct256530755640
966455547213
1023444315040
119a40782983
124663553b40
132298148383
1411c590a836
15923328ab0
hex57563dba0

23444315040 has 96 divisors (see below), whose sum is σ = 74292059520. Its totient is φ = 6214360064.

The previous prime is 23444315021. The next prime is 23444315071. The reversal of 23444315040 is 4051344432.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 23444314989 and 23444315007.

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, 66075 + ... + 226394.

It is an arithmetic number, because the mean of its divisors is an integer number (773875620).

Almost surely, 223444315040 is an apocalyptic number.

23444315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23444315040 is an abundant number, since it is smaller than the sum of its proper divisors (50847744480).

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

23444315040 is a wasteful number, since it uses less digits than its factorization.

23444315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292654 (or 292646 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 23444315040 its reverse (4051344432), we get a palindrome (27495659472).

The spelling of 23444315040 in words is "twenty-three billion, four hundred forty-four million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 40080 80160 292469 584938 877407 1169876 1462345 1754814 2339752 2924690 3509628 4387035 4679504 5849380 7019256 8774070 9359008 11698760 14038512 17548140 23397520 28077024 35096280 46795040 48842323 70192560 97684646 140385120 146526969 195369292 244211615 293053938 390738584 488423230 586107876 732634845 781477168 976846460 1172215752 1465269690 1562954336 1953692920 2344431504 2930539380 3907385840 4688863008 5861078760 7814771680 11722157520 23444315040