Search a number
-
+
24142551014464 = 268336371249631
BaseRepresentation
bin1010111110101001000000…
…01011010101110001000000
310011111000010220001001022021
411133110200023111301000
511131022421024430324
6123202533531051224
75041145630454211
oct537244013256100
9104430126031267
1024142551014464
11776888671a763
12285aba35a0b14
13106182c32296c
145d6711919408
152bd00a9b8ae4
hex15f5202d5c40

24142551014464 has 56 divisors (see below), whose sum is σ = 48498447852288. Its totient is φ = 11922549880320.

The previous prime is 24142551014423. The next prime is 24142551014497. The reversal of 24142551014464 is 46441015524142.

It is a self number, because there is not a number n which added to its sum of digits gives 24142551014464.

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 7 ways as a sum of consecutive naturals, for example, 18694929 + ... + 19944559.

It is an arithmetic number, because the mean of its divisors is an integer number (866043711648).

Almost surely, 224142551014464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142551014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249223926144).

24142551014464 is an abundant number, since it is smaller than the sum of its proper divisors (24355896837824).

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

24142551014464 is a wasteful number, since it uses less digits than its factorization.

24142551014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253363 (or 1253353 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

The spelling of 24142551014464 in words is "twenty-four trillion, one hundred forty-two billion, five hundred fifty-one million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 3637 5312 7274 14548 29096 58192 116384 232768 301871 603742 1207484 1249631 2414968 2499262 4829936 4998524 9659872 9997048 19319744 19994096 39988192 79976384 103719373 207438746 414877492 829754984 1659509968 3319019936 4544907947 6638039872 9089815894 18179631788 36359263576 72718527152 145437054304 290874108608 377227359601 754454719202 1508909438404 3017818876808 6035637753616 12071275507232 24142551014464