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44140951764 = 223271322759357
BaseRepresentation
bin101001000111000000…
…010111100011010100
311012221020222200102100
4221013000113203110
51210400040424024
632140021442100
73121565620320
oct510700274324
9135836880370
1044140951764
11177a1464428
12867a870330
134215c55590
1421ca532980
1512353007c9
hexa470178d4

44140951764 has 144 divisors (see below), whose sum is σ = 137934695808. Its totient is φ = 11590089984.

The previous prime is 44140951759. The next prime is 44140951781. The reversal of 44140951764 is 46715904144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713974 + ... + 773330.

It is an arithmetic number, because the mean of its divisors is an integer number (957879832).

Almost surely, 244140951764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44140951764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68967347904).

44140951764 is an abundant number, since it is smaller than the sum of its proper divisors (93793744044).

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

44140951764 is a wasteful number, since it uses less digits than its factorization.

44140951764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59614 (or 59609 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 44140951764 in words is "forty-four billion, one hundred forty million, nine hundred fifty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 227 234 252 273 364 454 468 546 681 819 908 1092 1362 1589 1638 2043 2724 2951 3178 3276 4086 4767 5902 6356 8172 8853 9534 11804 14301 17706 19068 20657 26559 28602 35412 41314 53118 57204 59357 61971 82628 106236 118714 123942 178071 185913 237428 247884 356142 371826 415499 534213 712284 743652 771641 830998 1068426 1246497 1543282 1661996 2136852 2314923 2492994 3086564 3739491 4629846 4985988 5401487 6944769 7478982 9259692 10802974 13474039 13889538 14957964 16204461 21605948 26948078 27779076 32408922 40422117 48613383 53896156 64817844 80844234 94318273 97226766 121266351 161688468 175162507 188636546 194453532 242532702 282954819 350325014 377273092 485065404 525487521 565909638 700650028 848864457 1050975042 1131819276 1226137549 1576462563 1697728914 2101950084 2452275098 3152925126 3395457828 3678412647 4904550196 6305850252 7356825294 11035237941 14713650588 22070475882 44140951764