Search a number
-
+
23814861120 = 263258269049
BaseRepresentation
bin10110001011011110…
…011111000101000000
32021110200212021220100
4112023132133011000
5342233101023440
614535043042400
71502103656661
oct261336370500
967420767810
1023814861120
11a110960706
124747670400
132326b463cb
14121cc05368
15945b20230
hex58b79f140

23814861120 has 84 divisors (see below), whose sum is σ = 81913209300. Its totient is φ = 6350628864.

The previous prime is 23814861107. The next prime is 23814861173. The reversal of 23814861120 is 2116841832.

23814861120 is a `hidden beast` number, since 2 + 3 + 8 + 14 + 8 + 611 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5453527104 + 18361334016 = 73848^2 + 135504^2 .

It is a super-2 number, since 2×238148611202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4131645 + ... + 4137404.

Almost surely, 223814861120 is an apocalyptic number.

23814861120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23814861120 is an abundant number, since it is smaller than the sum of its proper divisors (58098348180).

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

23814861120 is a wasteful number, since it uses less digits than its factorization.

23814861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269072 (or 8269059 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 23814861120 in words is "twenty-three billion, eight hundred fourteen million, eight hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8269049 16538098 24807147 33076196 41345245 49614294 66152392 74421441 82690490 99228588 124035735 132304784 148842882 165380980 198457176 248071470 264609568 297685764 330761960 372107205 396914352 496142940 529219136 595371528 661523920 744214410 793828704 992285880 1190743056 1323047840 1488428820 1587657408 1984571760 2381486112 2646095680 2976857640 3969143520 4762972224 5953715280 7938287040 11907430560 23814861120