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44544999944544 = 2531197434873867
BaseRepresentation
bin10100010000011011100001…
…11001011111000101100000
312211201110102122011110110220
422020031300321133011200
521314311124441211134
6234423405050323040
712245161424124021
oct1210156071370540
9184643378143426
1044544999944544
1113214479201550
124bb5152429480
131bb1763402a88
14adddbd294c48
15523ab7237149
hex288370e5f160

44544999944544 has 96 divisors (see below), whose sum is σ = 128875740529536. Its totient is φ = 13359325163520.

The previous prime is 44544999944531. The next prime is 44544999944693.

44544999944544 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 44544999944544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217334502 + ... + 217539365.

It is an arithmetic number, because the mean of its divisors is an integer number (1342455630516).

Almost surely, 244544999944544 is an apocalyptic number.

44544999944544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44544999944544 is an abundant number, since it is smaller than the sum of its proper divisors (84330740584992).

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

44544999944544 is a wasteful number, since it uses less digits than its factorization.

44544999944544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434873988 (or 434873980 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 78.

The spelling of 44544999944544 in words is "forty-four trillion, five hundred forty-four billion, nine hundred ninety-nine million, nine hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 25608 34144 51216 102432 434873867 869747734 1304621601 1739495468 2609243202 3478990936 4783612537 5218486404 6957981872 9567225074 10436972808 13915963744 14350837611 19134450148 20873945616 28701675222 38268900296 41747891232 42182765099 57403350444 76537800592 84365530198 114806700888 126548295297 153075601184 168731060396 229613401776 253096590594 337462120792 459226803552 464010416089 506193181188 674924241584 928020832178 1012386362376 1349848483168 1392031248267 1856041664356 2024772724752 2784062496534 3712083328712 4049545449504 5568124993068 7424166657424 11136249986136 14848333314848 22272499972272 44544999944544