Search a number
-
+
24023131344 = 24322336411117
BaseRepresentation
bin10110010111111000…
…111110010011010000
32022000012202111221100
4112113320332103100
5343144410200334
615011443024400
71510213150542
oct262770762320
968005674840
1024023131344
11a208482163
1247a536b100
13235b037b24
14123c73b692
1595905ec99
hex597e3e4d0

24023131344 has 120 divisors (see below), whose sum is σ = 67685826312. Its totient is φ = 7953776640.

The previous prime is 24023131309. The next prime is 24023131357. The reversal of 24023131344 is 44313132042.

24023131344 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 313 + 1 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779079744 + 23244051600 = 27912^2 + 152460^2 .

It is a super-2 number, since 2×240231313442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21506274 + ... + 21507390.

Almost surely, 224023131344 is an apocalyptic number.

24023131344 is a gapful number since it is divisible by the number (24) 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 24023131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33842913156).

24023131344 is an abundant number, since it is smaller than the sum of its proper divisors (43662694968).

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

24023131344 is a wasteful number, since it uses less digits than its factorization.

24023131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24023131344 its reverse (44313132042), we get a palindrome (68336263386).

The spelling of 24023131344 in words is "twenty-four billion, twenty-three million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 641 699 932 1117 1282 1398 1864 1923 2097 2234 2564 2796 3351 3728 3846 4194 4468 5128 5592 5769 6702 7692 8388 8936 10053 10256 11184 11538 13404 15384 16776 17872 20106 23076 26808 30768 33552 40212 46152 53616 80424 92304 149353 160848 260261 298706 448059 520522 597412 715997 780783 896118 1041044 1194824 1344177 1431994 1561566 1792236 2082088 2147991 2342349 2389648 2688354 2863988 3123132 3584472 4164176 4295982 4684698 5376708 5727976 6246264 6443973 7168944 8591964 9369396 10753416 11455952 12492528 12887946 17183928 18738792 21506832 25775892 34367856 37477584 51551784 103103568 166827301 333654602 500481903 667309204 1000963806 1334618408 1501445709 2001927612 2669236816 3002891418 4003855224 6005782836 8007710448 12011565672 24023131344