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41452426944 = 263330778139
BaseRepresentation
bin100110100110110000…
…011101011011000000
310221222220001110201000
4212212300131123000
51134343310130234
631013141212000
72665141546455
oct464660353300
9127886043630
1041452426944
11166418a5995
12804a401000
133ba7c58ca6
14201344982c
151129285899
hex9a6c1d6c0

41452426944 has 112 divisors (see below), whose sum is σ = 122260969600. Its totient is φ = 13772291328.

The previous prime is 41452426937. The next prime is 41452426949. The reversal of 41452426944 is 44962425414.

41452426944 is a `hidden beast` number, since 4 + 14 + 524 + 26 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41452426944.

It is not an unprimeable number, because it can be changed into a prime (41452426949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491427 + ... + 569565.

It is an arithmetic number, because the mean of its divisors is an integer number (1091615800).

Almost surely, 241452426944 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 41452426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61130484800).

41452426944 is an abundant number, since it is smaller than the sum of its proper divisors (80808542656).

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

41452426944 is a wasteful number, since it uses less digits than its factorization.

41452426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78467 (or 78451 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 41452426944 in words is "forty-one billion, four hundred fifty-two million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 307 432 576 614 864 921 1228 1728 1842 2456 2763 3684 4912 5526 7368 8289 9824 11052 14736 16578 19648 22104 29472 33156 44208 58944 66312 78139 88416 132624 156278 176832 234417 265248 312556 468834 530496 625112 703251 937668 1250224 1406502 1875336 2109753 2500448 2813004 3750672 4219506 5000896 5626008 7501344 8439012 11252016 15002688 16878024 22504032 23988673 33756048 45008064 47977346 67512096 71966019 95954692 135024192 143932038 191909384 215898057 287864076 383818768 431796114 575728152 647694171 767637536 863592228 1151456304 1295388342 1535275072 1727184456 2302912608 2590776684 3454368912 4605825216 5181553368 6908737824 10363106736 13817475648 20726213472 41452426944