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1144532245032 = 23321110314030257
BaseRepresentation
bin10000101001111011011…
…100000001101000101000
311001102020102100012121100
4100221323130001220220
5122223000223320112
62233442454041400
7145455401364501
oct20517334015050
94042212305540
101144532245032
11401436683890
12165999649260
1383c0cb14117
143d577975ba8
151eb8a2e52dc
hex10a7b701a28

1144532245032 has 96 divisors (see below), whose sum is σ = 3414403586880. Its totient is φ = 343460666880.

The previous prime is 1144532245019. The next prime is 1144532245057. The reversal of 1144532245032 is 2305422354411.

It is a happy number.

1144532245032 is a `hidden beast` number, since 1 + 1 + 44 + 532 + 2 + 4 + 50 + 32 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6933553 + ... + 7096704.

It is an arithmetic number, because the mean of its divisors is an integer number (35566704030).

Almost surely, 21144532245032 is an apocalyptic number.

1144532245032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144532245032 is an abundant number, since it is smaller than the sum of its proper divisors (2269871341848).

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

1144532245032 is a wasteful number, since it uses less digits than its factorization.

1144532245032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030383 (or 14030376 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1144532245032 its reverse (2305422354411), we get a palindrome (3449954599443).

The spelling of 1144532245032 in words is "one trillion, one hundred forty-four billion, five hundred thirty-two million, two hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 81576 14030257 28060514 42090771 56121028 84181542 112242056 126272313 154332827 168363084 252544626 308665654 336726168 462998481 505089252 617331308 925996962 1010178504 1234662616 1388995443 1445116471 1851993924 2777990886 2890232942 3703987848 4335349413 5555981772 5780465884 8670698826 11111963544 11560931768 13006048239 15896281181 17341397652 26012096478 31792562362 34682795304 47688843543 52024192956 63585124724 95377687086 104048385912 127170249448 143066530629 190755374172 286133061258 381510748344 572266122516 1144532245032