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41956842024 = 23342915714221
BaseRepresentation
bin100111000100110100…
…101001101000101000
311000022001012102010000
4213010310221220220
51141411422421044
631135200423000
73013505162406
oct470464515050
9130261172100
1041956842024
11168805a8459
12816b317a60
133c585c8856
142060430476
1511586c1d69
hex9c4d29a28

41956842024 has 160 divisors (see below), whose sum is σ = 122353288200. Its totient is φ = 13416399360.

The previous prime is 41956842023. The next prime is 41956842071. The reversal of 41956842024 is 42024865914.

It is a happy number.

41956842024 is a `hidden beast` number, since 41 + 9 + 568 + 4 + 20 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35823132900 + 6133709124 = 189270^2 + 78318^2 .

It is not an unprimeable number, because it can be changed into a prime (41956842023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2943234 + ... + 2957454.

Almost surely, 241956842024 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 41956842024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61176644100).

41956842024 is an abundant number, since it is smaller than the sum of its proper divisors (80396446176).

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

41956842024 is a wasteful number, since it uses less digits than its factorization.

41956842024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14425 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 41956842024 in words is "forty-one billion, nine hundred fifty-six million, eight hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 157 162 174 216 232 261 314 324 348 471 522 628 648 696 783 942 1044 1256 1413 1566 1884 2088 2349 2826 3132 3768 4239 4553 4698 5652 6264 8478 9106 9396 11304 12717 13659 14221 16956 18212 18792 25434 27318 28442 33912 36424 40977 42663 50868 54636 56884 81954 85326 101736 109272 113768 122931 127989 163908 170652 245862 255978 327816 341304 368793 383967 412409 491724 511956 737586 767934 824818 983448 1023912 1151901 1237227 1475172 1535868 1649636 2232697 2303802 2474454 2950344 3071736 3299272 3711681 4465394 4607604 4948908 6698091 7423362 8930788 9215208 9897816 11135043 13396182 14846724 17861576 20094273 22270086 26792364 29693448 33405129 40188546 44540172 53584728 60282819 64748213 66810258 80377092 89080344 120565638 129496426 133620516 160754184 180848457 194244639 241131276 258992852 267241032 361696914 388489278 482262552 517985704 582733917 723393828 776978556 1165467834 1446787656 1553957112 1748201751 2330935668 3496403502 4661871336 5244605253 6992807004 10489210506 13985614008 20978421012 41956842024