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40429491291 = 3273107122399
BaseRepresentation
bin100101101001110010…
…010001010001011011
310212100121012221210100
4211221302101101123
51130244422210131
630323440150443
72630611002000
oct455162212133
9125317187710
1040429491291
1116167437222
127a03908423
133a7404b417
141d5764b8a7
1510b95737e6
hex969c9145b

40429491291 has 48 divisors (see below), whose sum is σ = 68739840000. Its totient is φ = 22886467632.

The previous prime is 40429491251. The next prime is 40429491337. The reversal of 40429491291 is 19219492404.

It is a happy number.

It is not a de Polignac number, because 40429491291 - 29 = 40429490779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40429491251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269110 + ... + 391508.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080000).

Almost surely, 240429491291 is an apocalyptic number.

40429491291 is a deficient number, since it is larger than the sum of its proper divisors (28310348709).

40429491291 is a wasteful number, since it uses less digits than its factorization.

40429491291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122533 (or 122516 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40429491291 in words is "forty billion, four hundred twenty-nine million, four hundred ninety-one thousand, two hundred ninety-one".

Divisors: 1 3 7 9 21 49 63 107 147 321 343 441 749 963 1029 2247 3087 5243 6741 15729 36701 47187 110103 122399 330309 367197 856793 1101591 2570379 5997551 7711137 13096693 17992653 39290079 41982857 53977959 91676851 117870237 125948571 275030553 377845713 641737957 825091659 1925213871 4492165699 5775641613 13476497097 40429491291