Search a number
-
+
23541234024 = 23371117749339
BaseRepresentation
bin10101111011001010…
…101011100101101000
32020202121222121002110
4111323022223211220
5341203023442044
614451550202320
71462242121230
oct257312534550
966677877073
1023541234024
119a9045a610
12468bab33a0
1322b2250699
1411d4738cc0
1592bac06b9
hex57b2ab968

23541234024 has 128 divisors (see below), whose sum is σ = 77691571200. Its totient is φ = 5754915840.

The previous prime is 23541234011. The next prime is 23541234049. The reversal of 23541234024 is 42043214532.

It is a junction number, because it is equal to n+sod(n) for n = 23541233982 and 23541234000.

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 31 ways as a sum of consecutive naturals, for example, 343254 + ... + 406085.

It is an arithmetic number, because the mean of its divisors is an integer number (606965400).

Almost surely, 223541234024 is an apocalyptic number.

23541234024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23541234024 is an abundant number, since it is smaller than the sum of its proper divisors (54150337176).

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

23541234024 is a wasteful number, since it uses less digits than its factorization.

23541234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749383 (or 749379 counting only the distinct ones).

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

Adding to 23541234024 its reverse (42043214532), we get a palindrome (65584448556).

It can be divided in two parts, 2354 and 1234024, that added together give a triangular number (1236378 = T1572).

The spelling of 23541234024 in words is "twenty-three billion, five hundred forty-one million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 10472 15708 31416 749339 1498678 2248017 2997356 4496034 5245373 5994712 8242729 8992068 10490746 12738763 15736119 16485458 17984136 20981492 24728187 25477526 31472238 32970916 38216289 41962984 49456374 50955052 57699103 62944476 65941832 76432578 89171341 98912748 101910104 115398206 125888952 140126393 152865156 173097309 178342682 197825496 230796412 267514023 280252786 305730312 346194618 356685364 420379179 461592824 535028046 560505572 692389236 713370728 840758358 980884751 1070056092 1121011144 1384778472 1681516716 1961769502 2140112184 2942654253 3363033432 3923539004 5885308506 7847078008 11770617012 23541234024