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12445224339456 = 211321739717449
BaseRepresentation
bin1011010100011010000100…
…1011010000100000000000
31122001202022002012221201200
42311012201023100200000
53112400304412330311
642245131312501200
72423065155320466
oct265064113204000
948052262187650
1012445224339456
113a68a98769857
12148bb7454a800
136c376c5689ac
143104d012a836
15168adecbd556
hexb51a12d0800

12445224339456 has 144 divisors (see below), whose sum is σ = 38058452113500. Its totient is φ = 3904384008192.

The previous prime is 12445224339391. The next prime is 12445224339463. The reversal of 12445224339456 is 65493342254421.

It is a happy number.

12445224339456 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 5 + 2 + 243 + 394 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9725416473600 + 2719807865856 = 3118560^2 + 1649184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19545381 + ... + 20172068.

Almost surely, 212445224339456 is an apocalyptic number.

12445224339456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12445224339456 is an abundant number, since it is smaller than the sum of its proper divisors (25613227774044).

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

12445224339456 is a wasteful number, since it uses less digits than its factorization.

12445224339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39717494 (or 39717471 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 12445224339456 in words is "twelve trillion, four hundred forty-five billion, two hundred twenty-four million, three hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 3072 3264 4352 4608 4896 6144 6528 8704 9216 9792 13056 17408 18432 19584 26112 34816 39168 52224 78336 104448 156672 313344 39717449 79434898 119152347 158869796 238304694 317739592 357457041 476609388 635479184 675196633 714914082 953218776 1270958368 1350393266 1429828164 1906437552 2025589899 2541916736 2700786532 2859656328 3812875104 4051179798 5083833472 5401573064 5719312656 6076769697 7625750208 8102359596 10167666944 10803146128 11438625312 12153539394 15251500416 16204719192 20335333888 21606292256 22877250624 24307078788 30503000832 32409438384 40670667776 43212584512 45754501248 48614157576 61006001664 64818876768 81341335552 86425169024 91509002496 97228315152 122012003328 129637753536 172850338048 183018004992 194456630304 244024006656 259275507072 345700676096 366036009984 388913260608 518551014144 691401352192 732072019968 777826521216 1037102028288 1382802704384 1555653042432 2074204056576 3111306084864 4148408113152 6222612169728 12445224339456