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41451450233336 = 231113972473151049
BaseRepresentation
bin10010110110011001010101…
…11101110111000111111000
312102202201102211121110112222
421123030222331313013320
520413120032224431321
6224054311112023212
711505524402341043
oct1133145275670770
9172681384543488
1041451450233336
1112231509024160
12479569a991b08
131a18b1652a490
14a34391c81c5a
154bd3a9bda3ab
hex25b32af771f8

41451450233336 has 128 divisors (see below), whose sum is σ = 92288383992000. Its totient is φ = 17205841428480.

The previous prime is 41451450233329. The next prime is 41451450233363. The reversal of 41451450233336 is 63333205415414.

It is a happy number.

It is a super-2 number, since 2×414514502333362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274348340 + ... + 274499388.

Almost surely, 241451450233336 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 41451450233336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46144191996000).

41451450233336 is an abundant number, since it is smaller than the sum of its proper divisors (50836933758664).

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

41451450233336 is a wasteful number, since it uses less digits than its factorization.

41451450233336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153649 (or 153645 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 41451450233336 in words is "forty-one trillion, four hundred fifty-one billion, four hundred fifty million, two hundred thirty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 776 1067 1144 1261 2134 2473 2522 4268 4946 5044 8536 9892 10088 13871 19784 27203 27742 32149 54406 55484 64298 108812 110968 128596 151049 217624 239881 257192 302098 353639 479762 604196 707278 959524 1208392 1414556 1661539 1919048 1963637 2638691 2829112 3118453 3323078 3927274 5277382 6236906 6646156 7854548 10554764 12473812 13292312 14651753 15709096 21109528 21600007 24947624 29303506 34302983 43200014 58607012 68605966 86400028 117214024 137211932 161169283 172800056 190472789 274423864 322338566 373544177 380945578 644677132 747088354 761891156 1289354264 1494176708 1523782312 2095200679 2988353416 4108985947 4190401358 4856074301 8217971894 8380802716 9712148602 16435943788 16761605432 19424297204 32871887576 36233785169 38848594408 53416817311 72467570338 106833634622 144935140676 213667269244 289870281352 398571636859 427334538488 471039207197 797143273718 942078414394 1594286547436 1884156828788 3188573094872 3768313657576 5181431279167 10362862558334 20725725116668 41451450233336