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44034643044 = 22327418351349
BaseRepresentation
bin101001000000101010…
…110101010001100100
311012122211221122021100
4221000222311101210
51210140332034134
632121303120100
73116135201340
oct510052652144
9135584848240
1044034643044
1117747454087
12864b143030
1341c9c13402
1421ba37c620
15122ad01999
hexa40ab5464

44034643044 has 144 divisors (see below), whose sum is σ = 131886518400. Its totient is φ = 12126343680.

The previous prime is 44034643039. The next prime is 44034643061.

44034643044 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 4 + 643 + 0 + 4 + 4 = 666.

44034643044 is nontrivially palindromic in base 10.

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

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, 831882 + ... + 883230.

It is an arithmetic number, because the mean of its divisors is an integer number (915878600).

Almost surely, 244034643044 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 44034643044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65943259200).

44034643044 is an abundant number, since it is smaller than the sum of its proper divisors (87851875356).

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

44034643044 is a wasteful number, since it uses less digits than its factorization.

44034643044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51490 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 44034643044 in words is "forty-four billion, thirty-four million, six hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 83 84 123 126 164 166 246 249 252 287 332 369 492 498 574 581 738 747 861 996 1148 1162 1476 1494 1722 1743 2324 2583 2988 3403 3444 3486 5166 5229 6806 6972 10209 10332 10458 13612 20418 20916 23821 30627 40836 47642 51349 61254 71463 95284 102698 122508 142926 154047 205396 214389 285852 308094 359443 428778 462141 616188 718886 857556 924282 1078329 1437772 1848564 2105309 2156658 3234987 4210618 4261967 4313316 6315927 6469974 8421236 8523934 12631854 12785901 12939948 14737163 17047868 18947781 25263708 25571802 29474326 29833769 37895562 38357703 44211489 51143604 58948652 59667538 75791124 76715406 88422978 89501307 119335076 132634467 153430812 174740647 176845956 179002614 265268934 268503921 349481294 358005228 524221941 530537868 537007842 698962588 1048443882 1074015684 1223184529 1572665823 2096887764 2446369058 3145331646 3669553587 4892738116 6290663292 7339107174 11008660761 14678214348 22017321522 44034643044