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44260713144 = 2333316964661
BaseRepresentation
bin101001001110001001…
…001110001010111000
311020020121100012011000
4221032021032022320
51211121220310034
632155540405000
73124551566004
oct511611161270
9136217305130
1044260713144
111785302297a
1286b29a6760
1342349c79bb
1421dc3c9704
151240aaa599
hexa4e24e2b8

44260713144 has 64 divisors (see below), whose sum is σ = 122987124000. Its totient is φ = 14748687360.

The previous prime is 44260713073. The next prime is 44260713157. The reversal of 44260713144 is 44131706244.

44260713144 is a `hidden beast` number, since 4 + 4 + 2 + 607 + 1 + 3 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44260713099 and 44260713108.

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, 652174 + ... + 716834.

Almost surely, 244260713144 is an apocalyptic number.

It is an amenable number.

44260713144 is an abundant number, since it is smaller than the sum of its proper divisors (78726410856).

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

44260713144 is a wasteful number, since it uses less digits than its factorization.

44260713144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67845 (or 67835 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 44260713144 in words is "forty-four billion, two hundred sixty million, seven hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3169 6338 9507 12676 19014 25352 28521 38028 57042 64661 76056 85563 114084 129322 171126 193983 228168 258644 342252 387966 517288 581949 684504 775932 1163898 1551864 1745847 2327796 3491694 4655592 6983388 13966776 204910709 409821418 614732127 819642836 1229464254 1639285672 1844196381 2458928508 3688392762 4917857016 5532589143 7376785524 11065178286 14753571048 22130356572 44260713144