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41424220440 = 23325412806519
BaseRepresentation
bin100110100101000100…
…110111000100011000
310221220220222102122200
4212211010313010120
51134314100023230
631010252450200
72664350030661
oct464504670430
9127826872580
1041424220440
111662798aa29
128040a79960
133ba2161455
14200d7c6368
151126a63160
hex9a5137118

41424220440 has 96 divisors (see below), whose sum is σ = 137912392800. Its totient is φ = 10777029120.

The previous prime is 41424220423. The next prime is 41424220447. The reversal of 41424220440 is 4402242414.

41424220440 is a `hidden beast` number, since 414 + 2 + 4 + 2 + 204 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424220447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388500 + ... + 1418019.

It is an arithmetic number, because the mean of its divisors is an integer number (1436587425).

Almost surely, 241424220440 is an apocalyptic number.

41424220440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424220440 is an abundant number, since it is smaller than the sum of its proper divisors (96488172360).

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

41424220440 is a wasteful number, since it uses less digits than its factorization.

41424220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806577 (or 2806570 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 41424220440 its reverse (4402242414), we get a palindrome (45826462854).

The spelling of 41424220440 in words is "forty-one billion, four hundred twenty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 2806519 5613038 8419557 11226076 14032595 16839114 22452152 25258671 28065190 33678228 42097785 50517342 56130380 67356456 84195570 101034684 112260760 115067279 126293355 168391140 202069368 230134558 252586710 336782280 345201837 460269116 505173420 575336395 690403674 920538232 1010346840 1035605511 1150672790 1380807348 1726009185 2071211022 2301345580 2761614696 3452018370 4142422044 4602691160 5178027555 6904036740 8284844088 10356055110 13808073480 20712110220 41424220440