Search a number
-
+
13544540944 = 2411192297351
BaseRepresentation
bin11001001110101000…
…10100101100010000
31021221221102222012121
430213110110230100
5210214400302234
610120002304024
7656434461364
oct144724245420
937857388177
1013544540944
1158205a40a0
122760058014
13137b15048c
14926bd72a4
155441674b4
hex327514b10

13544540944 has 120 divisors (see below), whose sum is σ = 31260409920. Its totient is φ = 5630688000.

The previous prime is 13544540927. The next prime is 13544541011. The reversal of 13544540944 is 44904544531.

It is a super-2 number, since 2×135445409442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13544540944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838869 + ... + 1846219.

It is an arithmetic number, because the mean of its divisors is an integer number (260503416).

Almost surely, 213544540944 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 13544540944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630204960).

13544540944 is an abundant number, since it is smaller than the sum of its proper divisors (17715868976).

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

13544540944 is a wasteful number, since it uses less digits than its factorization.

13544540944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7437 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 13544540944 in words is "thirteen billion, five hundred forty-four million, five hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 152 176 209 232 304 319 361 418 464 551 638 722 836 1102 1276 1444 1672 2204 2552 2888 3344 3971 4408 5104 5776 6061 7351 7942 8816 10469 12122 14702 15884 20938 24244 29404 31768 41876 48488 58808 63536 80861 83752 96976 115159 117616 139669 161722 167504 213179 230318 279338 323444 426358 460636 558676 646888 852716 921272 1117352 1293776 1536359 1705432 1842544 2234704 2344969 2653711 3072718 3410864 4050401 4689938 5307422 6145436 8100802 9379876 10614844 12290872 16201604 18759752 21229688 24581744 29190821 32403208 37519504 42459376 44554411 58381642 64806416 76957619 89108822 116763284 153915238 178217644 233526568 307830476 356435288 467053136 615660952 712870576 846533809 1231321904 1693067618 3386135236 6772270472 13544540944