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44390638012 = 22726783139293
BaseRepresentation
bin101001010101111000…
…110110000110111100
311020120122211001120011
4221111320312012330
51211403000404022
632220501233004
73131020124500
oct512570660674
9136518731504
1044390638012
111790a3a33a6
12872a402764
1342558b8216
14221176a300
15124c1c1977
hexa55e361bc

44390638012 has 144 divisors (see below), whose sum is σ = 93807262080. Its totient is φ = 18318883968.

The previous prime is 44390638007. The next prime is 44390638031. The reversal of 44390638012 is 21083609344.

It is a happy number.

It is a super-2 number, since 2×443906380122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151503738 + ... + 151504030.

It is an arithmetic number, because the mean of its divisors is an integer number (651439320).

Almost surely, 244390638012 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 44390638012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46903631040).

44390638012 is an abundant number, since it is smaller than the sum of its proper divisors (49416624068).

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

44390638012 is a wasteful number, since it uses less digits than its factorization.

44390638012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 44390638012 in words is "forty-four billion, three hundred ninety million, six hundred thirty-eight thousand, twelve".

Divisors: 1 2 4 7 14 28 49 67 83 98 134 139 166 196 268 278 293 332 469 556 581 586 938 973 1162 1172 1876 1946 2051 2324 3283 3892 4067 4102 5561 6566 6811 8134 8204 9313 11122 11537 13132 13622 14357 16268 18626 19631 22244 23074 24319 27244 28714 37252 38927 39262 40727 46148 48638 57428 65191 77854 78524 80759 81454 97276 130382 137417 155708 161518 162908 170233 260764 272489 274834 285089 323036 340466 456337 544978 549668 565313 570178 680932 772979 912674 961919 1089956 1130626 1140356 1191631 1545958 1629373 1825348 1923838 1995623 2261252 2383262 2728709 3091916 3258746 3380341 3847676 3991246 4766524 5410853 5457418 6517492 6760682 7982492 10821706 10914836 11405611 13521364 19100963 21643412 22811222 23662387 37875971 38201926 45622444 47324774 75751942 76403852 79839277 94649548 133706741 151503884 159678554 165636709 226482847 267413482 319357108 331273418 452965694 534826964 662546836 905931388 1585379929 3170759858 6341519716 11097659503 22195319006 44390638012