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44010816713144 = 2319279226785091
BaseRepresentation
bin10100000000111000100010…
…00110001011000110111000
312202211101121111011200011222
422000130101012023012320
521232033123034310034
6233334142354011212
712161451031434521
oct1200342106130670
9182741544150158
1044010816713144
1113028978747396
124b29711576b08
131b73282335878
14ac21c6217848
15514c5060e12e
hex28071118b1b8

44010816713144 has 96 divisors (see below), whose sum is σ = 88234413523200. Its totient is φ = 20574018653760.

The previous prime is 44010816713107. The next prime is 44010816713161. The reversal of 44010816713144 is 44131761801044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44010816713095 and 44010816713104.

It is a congruent number.

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, 517178039 + ... + 517263129.

It is an arithmetic number, because the mean of its divisors is an integer number (919108474200).

Almost surely, 244010816713144 is an apocalyptic number.

It is an amenable number.

44010816713144 is an abundant number, since it is smaller than the sum of its proper divisors (44223596810056).

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

44010816713144 is a wasteful number, since it uses less digits than its factorization.

44010816713144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87481 (or 87458 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 44010816713144 in words is "forty-four trillion, ten billion, eight hundred sixteen million, seven hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 38 76 79 152 158 316 361 632 722 1444 1501 2267 2888 3002 4534 6004 9068 12008 18136 28519 43073 57038 85091 86146 114076 170182 172292 179093 228152 340364 344584 358186 680728 716372 818387 1432744 1616729 1636774 3233458 3273548 3402767 6466916 6547096 6722189 6805534 12933832 13444378 13611068 26888756 27222136 30717851 53777512 61435702 64652573 122871404 127721591 129305146 192901297 245742808 255443182 258610292 385802594 510886364 517220584 771605188 1021772728 1543210376 2426710229 3665124643 4853420458 7330249286 9706840916 14660498572 15239202463 19413681832 29320997144 30478404926 60956809852 69637368217 121913619704 139274736434 278549472868 289544846797 557098945736 579089693594 1158179387188 2316358774376 5501352089143 11002704178286 22005408356572 44010816713144