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23983446240 = 25325131281167
BaseRepresentation
bin10110010101100001…
…100101100011100000
32021220110002022012200
4112111201211203200
5343104230234430
615003504253200
71506221633535
oct262541454340
967813068180
1023983446240
11a198037156
124794011200
132352a51710
14123736ad8c
15955821460
hex5958658e0

23983446240 has 144 divisors (see below), whose sum is σ = 88139233728. Its totient is φ = 5903612928.

The previous prime is 23983446197. The next prime is 23983446283. The reversal of 23983446240 is 4264438932.

It is an interprime number because it is at equal distance from previous prime (23983446197) and next prime (23983446283).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621864 + ... + 659303.

It is an arithmetic number, because the mean of its divisors is an integer number (612078012).

Almost surely, 223983446240 is an apocalyptic number.

23983446240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23983446240 is an abundant number, since it is smaller than the sum of its proper divisors (64155787488).

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

23983446240 is a wasteful number, since it uses less digits than its factorization.

23983446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281201 (or 1281190 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23983446240 in words is "twenty-three billion, nine hundred eighty-three million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 1281167 2562334 3843501 5124668 6405835 7687002 10249336 11530503 12811670 15374004 16655171 19217505 20498672 23061006 25623340 30748008 33310342 38435010 40997344 46122012 49965513 51246680 57652515 61496016 66620684 76870020 83275855 92244024 99931026 102493360 115305030 122992032 133241368 149896539 153740040 166551710 184488048 199862052 204986720 230610060 249827565 266482736 299793078 307480080 333103420 368976096 399724104 461220120 499655130 532965472 599586156 614960160 666206840 749482695 799448208 922440240 999310260 1199172312 1332413680 1498965390 1598896416 1844880480 1998620520 2398344624 2664827360 2997930780 3997241040 4796689248 5995861560 7994482080 11991723120 23983446240