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40414365299 = 7112149431743
BaseRepresentation
bin100101101000111000…
…100100011001110011
310212022112202110211102
4211220320210121303
51130232034142144
630322140035015
72630335302620
oct455070443163
9125275673742
1040414365299
1116159945900
1279ba832a6b
133a70b83629
141d55631347
1510b8086b4e
hex968e24673

40414365299 has 48 divisors (see below), whose sum is σ = 51296716800. Its totient is φ = 31165780800.

The previous prime is 40414365289. The next prime is 40414365391. The reversal of 40414365299 is 99256341404.

It is a de Polignac number, because none of the positive numbers 2k-40414365299 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40414365259) 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, 54393122 + ... + 54393864.

It is an arithmetic number, because the mean of its divisors is an integer number (1068681600).

Almost surely, 240414365299 is an apocalyptic number.

40414365299 is a deficient number, since it is larger than the sum of its proper divisors (10882351501).

40414365299 is a wasteful number, since it uses less digits than its factorization.

40414365299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 40414365299 in words is "forty billion, four hundred fourteen million, three hundred sixty-five thousand, two hundred ninety-nine".

Divisors: 1 7 11 77 121 149 431 743 847 1043 1639 3017 4741 5201 8173 11473 18029 33187 52151 57211 64219 89903 110707 126203 320233 365057 449533 629321 706409 774949 1217777 2241631 3522563 4944863 7770499 8524439 13395547 24657941 38748193 47714717 54393493 93768829 271237351 334003019 524861887 3674033209 5773480757 40414365299