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13119747144 = 2337178635323
BaseRepresentation
bin11000011011111111…
…10111010001001000
31020212100010012122220
430031333313101020
5203332123402034
610005505414040
7643056003450
oct141577672110
936770105586
1013119747144
115622834239
12266193a320
13131113a7ba
148c661ad60
1551bc07749
hex30dff7448

13119747144 has 128 divisors (see below), whose sum is σ = 39743447040. Its totient is φ = 3523249152.

The previous prime is 13119747143. The next prime is 13119747163. The reversal of 13119747144 is 44174791131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13119747096 and 13119747105.

It is not an unprimeable number, because it can be changed into a prime (13119747143) by changing a digit.

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, 2462067 + ... + 2467389.

It is an arithmetic number, because the mean of its divisors is an integer number (310495680).

Almost surely, 213119747144 is an apocalyptic number.

13119747144 is a gapful number since it is divisible by the number (14) 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 13119747144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871723520).

13119747144 is an abundant number, since it is smaller than the sum of its proper divisors (26623699896).

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

13119747144 is a wasteful number, since it uses less digits than its factorization.

13119747144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6215 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The spelling of 13119747144 in words is "thirteen billion, one hundred nineteen million, seven hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 863 952 1428 1726 2589 2856 3452 5178 5323 6041 6904 10356 10646 12082 14671 15969 18123 20712 21292 24164 29342 31938 36246 37261 42584 44013 48328 58684 63876 72492 74522 88026 90491 102697 111783 117368 127752 144984 149044 176052 180982 205394 223566 271473 298088 308091 352104 361964 410788 447132 542946 616182 633437 723928 821576 894264 1085892 1232364 1266874 1900311 2171784 2464728 2533748 3800622 4593749 5067496 7601244 9187498 13781247 15202488 18374996 27562494 32156243 36749992 55124988 64312486 78093733 96468729 110249976 128624972 156187466 192937458 234281199 257249944 312374932 385874916 468562398 546656131 624749864 771749832 937124796 1093312262 1639968393 1874249592 2186624524 3279936786 4373249048 6559873572 13119747144