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41431134420 = 22335135901871
BaseRepresentation
bin100110100101011111…
…001111000011010100
310221221101222200212000
4212211133033003110
51134322332300140
631011100555300
72664462555234
oct464537170324
9127841880760
1041431134420
1116630882565
128043252b30
133ba3712470
1420106a5cc4
15112747ba30
hex9a57cf0d4

41431134420 has 96 divisors (see below), whose sum is σ = 138812029440. Its totient is φ = 10198431360.

The previous prime is 41431134397. The next prime is 41431134427. The reversal of 41431134420 is 2443113414.

41431134420 is a `hidden beast` number, since 4 + 1 + 4 + 311 + 344 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41431134427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943916 + ... + 2957955.

It is an arithmetic number, because the mean of its divisors is an integer number (1445958640).

Almost surely, 241431134420 is an apocalyptic number.

It is an amenable number.

41431134420 is an abundant number, since it is smaller than the sum of its proper divisors (97380895020).

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

41431134420 is a wasteful number, since it uses less digits than its factorization.

41431134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901902 (or 5901894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41431134420 its reverse (2443113414), we get a palindrome (43874247834).

The spelling of 41431134420 in words is "forty-one billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 5901871 11803742 17705613 23607484 29509355 35411226 53116839 59018710 70822452 76724323 88528065 106233678 118037420 153448646 159350517 177056130 212467356 230172969 265584195 306897292 318701034 354112260 383621615 460345938 531168390 637402068 690518907 767243230 796752585 920691876 1062336780 1150864845 1381037814 1534486460 1593505170 2071556721 2301729690 2762075628 3187010340 3452594535 4143113442 4603459380 6905189070 8286226884 10357783605 13810378140 20715567210 41431134420