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44245611654244 = 2271113107103274323
BaseRepresentation
bin10100000111101101110111…
…11101110010110001100100
312210122211122202021111200121
422003312323331302301210
521244410003040413434
6234034053044251324
712214432334500510
oct1203667375626144
9183584582244617
1044245611654244
1113109505330860
124b671199a0b44
131b8c46023c890
14acd6db4a7140
1551ade360a7b4
hex283dbbf72c64

44245611654244 has 96 divisors (see below), whose sum is σ = 104933322740736. Its totient is φ = 15763792510080.

The previous prime is 44245611654217. The next prime is 44245611654247.

44245611654244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 44245611654191 and 44245611654200.

It is not an unprimeable number, because it can be changed into a prime (44245611654247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51208734 + ... + 52065589.

It is an arithmetic number, because the mean of its divisors is an integer number (1093055445216).

Almost surely, 244245611654244 is an apocalyptic number.

44245611654244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44245611654244 is an abundant number, since it is smaller than the sum of its proper divisors (60687711086492).

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

44245611654244 is a wasteful number, since it uses less digits than its factorization.

44245611654244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103274465 (or 103274463 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 44245611654244 in words is "forty-four trillion, two hundred forty-five billion, six hundred eleven million, six hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 107 143 154 182 214 286 308 364 428 572 749 1001 1177 1391 1498 2002 2354 2782 2996 4004 4708 5564 8239 9737 15301 16478 19474 30602 32956 38948 61204 107107 214214 428428 103274323 206548646 413097292 722920261 1136017553 1342566199 1445840522 2272035106 2685132398 2891681044 4544070212 5370264796 7952122871 9397963393 11050352561 14768228189 15904245742 18795926786 22100705122 29536456378 31808491484 37591853572 44201410244 59072912756 77352467927 103377597323 121553878171 143654583293 154704935854 206755194646 243107756342 287309166586 309409871708 413510389292 486215512684 574618333172 850877147197 1005582083051 1580200416223 1701754294394 2011164166102 3160400832446 3403508588788 4022328332204 6320801664892 11061402913561 22122805827122 44245611654244