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44312687244 = 22327331115763
BaseRepresentation
bin101001010001001111…
…011111001010001100
311020101020010202012200
4221101033133022030
51211223021442434
632205034401500
73126052425000
oct512117371214
9136336122180
1044312687244
111787a3a1881
128708290290
1342426c47c7
142205278700
151245425199
hexa513df28c

44312687244 has 144 divisors (see below), whose sum is σ = 134841907200. Its totient is φ = 12252250080.

The previous prime is 44312687233. The next prime is 44312687257. The reversal of 44312687244 is 44278621344.

44312687244 is a `hidden beast` number, since 443 + 126 + 87 + 2 + 4 + 4 = 666.

44312687244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×443126872442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44312687244.

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, 324907 + ... + 440669.

Almost surely, 244312687244 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 44312687244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420953600).

44312687244 is an abundant number, since it is smaller than the sum of its proper divisors (90529219956).

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

44312687244 is a wasteful number, since it uses less digits than its factorization.

44312687244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115825 (or 115806 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 44312687244 in words is "forty-four billion, three hundred twelve million, six hundred eighty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 343 372 434 441 558 588 651 686 868 882 1029 1116 1302 1372 1519 1764 1953 2058 2604 3038 3087 3906 4116 4557 6076 6174 7812 9114 10633 12348 13671 18228 21266 27342 31899 42532 54684 63798 95697 115763 127596 191394 231526 347289 382788 463052 694578 810341 1041867 1389156 1620682 2083734 2431023 3241364 3588653 4167468 4862046 5672387 7177306 7293069 9724092 10765959 11344774 14354612 14586138 17017161 21531918 22689548 25120571 29172276 32297877 34034322 39706709 43063836 50241142 51051483 64595754 68068644 75361713 79413418 100482284 102102966 119120127 129191508 150723426 158826836 175843997 204205932 226085139 238240254 301446852 351687994 357360381 452170278 476480508 527531991 703375988 714720762 904340556 1055063982 1230907979 1429441524 1582595973 2110127964 2461815958 3165191946 3692723937 4923631916 6330383892 7385447874 11078171811 14770895748 22156343622 44312687244