Search a number
-
+
30144361536 = 2632192754419
BaseRepresentation
bin11100000100101111…
…100111010001000000
32212210210221020011200
4130010233213101000
5443213424032121
621503110141200
72115001562652
oct340457472100
985723836150
1030144361536
1111869784a93
125a13351800
132ac526b723
14165d6a66d2
15bb6642a26
hex704be7440

30144361536 has 84 divisors (see below), whose sum is σ = 90950948400. Its totient is φ = 9519268608.

The previous prime is 30144361523. The next prime is 30144361561. The reversal of 30144361536 is 63516344103.

30144361536 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 4 + 3 + 615 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30144361536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1366266 + ... + 1388153.

Almost surely, 230144361536 is an apocalyptic number.

30144361536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30144361536 is an abundant number, since it is smaller than the sum of its proper divisors (60806586864).

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

30144361536 is a wasteful number, since it uses less digits than its factorization.

30144361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754456 (or 2754443 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 30144361536 in words is "thirty billion, one hundred forty-four million, three hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 2754419 5508838 8263257 11017676 16526514 22035352 24789771 33053028 44070704 49579542 52333961 66106056 88141408 99159084 104667922 132212112 157001883 176282816 198318168 209335844 264424224 314003766 396636336 418671688 471005649 528848448 628007532 793272672 837343376 942011298 1256015064 1586545344 1674686752 1884022596 2512030128 3349373504 3768045192 5024060256 7536090384 10048120512 15072180768 30144361536