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45402244233444 = 22327269931171933
BaseRepresentation
bin10100101001011000010001…
…01000111011100011100100
312221202102010110112101020200
422110230020220323203210
521422332244010432234
6240321300354430500
712364126636265430
oct1224541050734344
9187672113471220
1045402244233444
1113514a9026580a
125113313892430
131c4454ac18137
14b2d6a20d79c0
1553b03ad8ed99
hex294b08a3b8e4

45402244233444 has 144 divisors (see below), whose sum is σ = 131665599636480. Its totient is φ = 12922278808320.

The previous prime is 45402244233403. The next prime is 45402244233509. The reversal of 45402244233444 is 44433244220454.

It is a happy number.

45402244233444 is a `hidden beast` number, since 4 + 5 + 40 + 2 + 244 + 23 + 344 + 4 = 666.

It is a super-2 number, since 2×454022442334442 (a number of 28 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 45402244233444.

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, 631138102 + ... + 631210034.

It is an arithmetic number, because the mean of its divisors is an integer number (914344441920).

Almost surely, 245402244233444 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 45402244233444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65832799818240).

45402244233444 is an abundant number, since it is smaller than the sum of its proper divisors (86263355403036).

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

45402244233444 is a wasteful number, since it uses less digits than its factorization.

45402244233444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81530 (or 81525 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 45.

Adding to 45402244233444 its reverse (44433244220454), we get a palindrome (89835488453898).

The spelling of 45402244233444 in words is "forty-five trillion, four hundred two billion, two hundred forty-four million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1076 1614 1883 2421 3228 3766 4842 5649 7532 9311 9684 11298 16947 18622 22596 27933 33894 37244 55866 65177 67788 71933 83799 111732 130354 143866 167598 195531 215799 260708 287732 335196 391062 431598 503531 586593 647397 782124 863196 1007062 1173186 1294794 1510593 2014124 2346372 2504659 2589588 3021186 4531779 5009318 6042372 7513977 9063558 10018636 15027954 17532613 18127116 19349977 22541931 30055908 35065226 38699954 45083862 52597839 58049931 70130452 77399908 90167724 105195678 116099862 135449839 157793517 174149793 210391356 232199724 270899678 315587034 348299586 406349517 541799356 631174068 669768163 696599172 812699034 1219048551 1339536326 1625398068 2009304489 2438097102 2679072652 4018608978 4688377141 4876194204 6027913467 8037217956 9376754282 12055826934 14065131423 18753508564 24111653868 28130262846 42195394269 56260525692 84390788538 168781577076 180167635847 360335271694 540502907541 720670543388 1081005815082 1261173450929 1621508722623 2162011630164 2522346901858 3243017445246 3783520352787 5044693803716 6486034890492 7567040705574 11350561058361 15134081411148 22701122116722 45402244233444