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23424018408 = 2332728298009
BaseRepresentation
bin10101110100001011…
…100010011111101000
32020110110102102111100
4111310023202133220
5340433022042113
614432202001400
71456316604600
oct256413423750
966413372440
1023424018408
119a3027a7aa
1246587a6260
132293b8cc2b
1411c2d45c00
15921669d73
hex5742e27e8

23424018408 has 144 divisors (see below), whose sum is σ = 73895854500. Its totient is φ = 6683668992.

The previous prime is 23424018391. The next prime is 23424018413. The reversal of 23424018408 is 80481042432.

23424018408 is a `hidden beast` number, since 2 + 3 + 4 + 240 + 1 + 8 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23128934724 + 295083684 = 152082^2 + 17178^2 .

It is a super-3 number, since 3×234240184083 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2920708 + ... + 2928716.

Almost surely, 223424018408 is an apocalyptic number.

23424018408 is a gapful number since it is divisible by the number (28) 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 23424018408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36947927250).

23424018408 is an abundant number, since it is smaller than the sum of its proper divisors (50471836092).

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

23424018408 is a wasteful number, since it uses less digits than its factorization.

23424018408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 23424018408 in words is "twenty-three billion, four hundred twenty-four million, eighteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 829 882 1176 1658 1764 2487 3316 3528 4974 5803 6632 7461 8009 9948 11606 14922 16018 17409 19896 23212 24027 29844 32036 34818 40621 46424 48054 52227 56063 59688 64072 69636 72081 81242 96108 104454 112126 121863 139272 144162 162484 168189 192216 208908 224252 243726 288324 324968 336378 365589 392441 417816 448504 487452 504567 576648 672756 731178 784882 974904 1009134 1177323 1345512 1462356 1569764 2018268 2354646 2924712 3139528 3531969 4036536 4709292 6639461 7063938 9418584 13278922 14127876 19918383 26557844 28255752 39836766 46476227 53115688 59755149 79673532 92952454 119510298 139428681 159347064 185904908 239020596 278857362 325333589 371809816 418286043 478041192 557714724 650667178 836572086 976000767 1115429448 1301334356 1673144172 1952001534 2602668712 2928002301 3346288344 3904003068 5856004602 7808006136 11712009204 23424018408