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42271348330407 = 374394639903331
BaseRepresentation
bin10011001110010000100001…
…01100111000111110100111
312112200002201221112021020210
421213020100230320332213
521020033210133033112
6225523104521430503
711622001263230640
oct1147102054707647
9175602657467223
1042271348330407
11125181a6136779
1248a857903b433
131a7822ba22a91
14a61d30b646c7
154d4894d19b3c
hex267210b38fa7

42271348330407 has 32 divisors (see below), whose sum is σ = 64699656355840. Its totient is φ = 24047978945760.

The previous prime is 42271348330373. The next prime is 42271348330433. The reversal of 42271348330407 is 70403384317224.

42271348330407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42271348330407 - 222 = 42271344136103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42271348330907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683269 + ... + 9220062.

It is an arithmetic number, because the mean of its divisors is an integer number (2021864261120).

Almost surely, 242271348330407 is an apocalyptic number.

42271348330407 is a deficient number, since it is larger than the sum of its proper divisors (22428308025433).

42271348330407 is a wasteful number, since it uses less digits than its factorization.

42271348330407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904243.

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 42271348330407 in words is "forty-two trillion, two hundred seventy-one billion, three hundred forty-eight million, three hundred thirty thousand, four hundred seven".

Divisors: 1 3 7 21 439 463 1317 1389 3073 3241 9219 9723 203257 609771 1422799 4268397 9903331 29709993 69323317 207969951 4347562309 4585242253 13042686927 13755726759 30432936163 32096695771 91298808489 96290087313 2012921349067 6038764047201 14090449443469 42271348330407