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12144044511432 = 23321735112825863
BaseRepresentation
bin1011000010111000000101…
…1101011001000011001000
31120222221220100020110012100
42300232001131121003020
53042432000343331212
641454521431513400
72362243513113231
oct260560135310310
946887810213170
1012144044511432
113962295594279
12144171bb28860
136a12421893c2
142ddabc42a088
15160d63c5abdc
hexb0b817590c8

12144044511432 has 96 divisors (see below), whose sum is σ = 34834764631680. Its totient is φ = 3808809838080.

The previous prime is 12144044511373. The next prime is 12144044511461. The reversal of 12144044511432 is 23411544044121.

12144044511432 is a `hidden beast` number, since 1 + 21 + 4 + 40 + 4 + 451 + 143 + 2 = 666.

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

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, 2884533 + ... + 5710395.

It is an arithmetic number, because the mean of its divisors is an integer number (362862131580).

Almost surely, 212144044511432 is an apocalyptic number.

12144044511432 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 12144044511432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417382315840).

12144044511432 is an abundant number, since it is smaller than the sum of its proper divisors (22690720120248).

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

12144044511432 is a wasteful number, since it uses less digits than its factorization.

12144044511432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829403 (or 2829396 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 12144044511432 its reverse (23411544044121), we get a palindrome (35555588555553).

The spelling of 12144044511432 in words is "twelve trillion, one hundred forty-four billion, forty-four million, five hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3511 7022 10533 14044 21066 28088 31599 42132 59687 63198 84264 119374 126396 179061 238748 252792 358122 477496 537183 716244 1074366 1432488 2148732 2825863 4297464 5651726 8477589 11303452 16955178 22606904 25432767 33910356 48039671 50865534 67820712 96079342 101731068 144119013 192158684 203462136 288238026 384317368 432357039 576476052 864714078 1152952104 1729428156 3458856312 9921604993 19843209986 29764814979 39686419972 59529629958 79372839944 89294444937 119059259916 168667284881 178588889874 238118519832 337334569762 357177779748 506001854643 674669139524 714355559496 1012003709286 1349338279048 1518005563929 2024007418572 3036011127858 4048014837144 6072022255716 12144044511432