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12408143428872 = 2334283130751769
BaseRepresentation
bin1011010010001111111011…
…1110110011110100001000
31121221012120211221112010000
42310203332332303310020
53111243334204210442
642220120012123000
72420313234634452
oct264437676636410
947835524845100
1012408143428872
113a5429a538904
121484946166460
136c01101abc99
1430c7b35032d2
15167b6e6e6d4c
hexb48fefb3d08

12408143428872 has 160 divisors (see below), whose sum is σ = 34904456373600. Its totient is φ = 4118199895296.

The previous prime is 12408143428871. The next prime is 12408143428943. The reversal of 12408143428872 is 27882434180421.

12408143428872 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 143 + 428 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12408143428871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239657004 + ... + 239708772.

It is an arithmetic number, because the mean of its divisors is an integer number (218152852335).

Almost surely, 212408143428872 is an apocalyptic number.

12408143428872 is a gapful number since it is divisible by the number (12) 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 12408143428872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452228186800).

12408143428872 is an abundant number, since it is smaller than the sum of its proper divisors (22496312944728).

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

12408143428872 is a wasteful number, since it uses less digits than its factorization.

12408143428872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53377 (or 53364 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 12408143428872 in words is "twelve trillion, four hundred eight billion, one hundred forty-three million, four hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 283 324 566 648 849 1132 1307 1698 2264 2547 2614 3396 3921 5094 5228 6792 7641 7842 10188 10456 11763 15282 15684 20376 22923 23526 30564 31368 35289 45846 47052 51769 61128 70578 91692 94104 103538 105867 141156 155307 183384 207076 211734 282312 310614 369881 414152 423468 465921 621228 739762 846936 931842 1109643 1242456 1397763 1479524 1863684 2219286 2795526 2959048 3328929 3727368 4193289 4438572 5591052 6657858 8386578 8877144 9986787 11182104 13315716 14650627 16773156 19973574 26631432 29301254 29960361 33546312 39947148 43951881 58602508 59920722 67662083 79894296 87903762 117205016 119841444 131855643 135324166 175807524 202986249 239682888 263711286 270648332 351615048 395566929 405972498 527422572 541296664 608958747 791133858 811944996 1054845144 1186700787 1217917494 1582267716 1623889992 1826876241 2373401574 2435834988 3164535432 3653752482 4746803148 4871669976 5480628723 7307504964 9493606296 10961257446 14615009928 19148369489 21922514892 38296738978 43845029784 57445108467 76593477956 114890216934 153186955912 172335325401 229780433868 344670650802 459560867736 517005976203 689341301604 1034011952406 1378682603208 1551017928609 2068023904812 3102035857218 4136047809624 6204071714436 12408143428872