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42145376091 = 37131931262103
BaseRepresentation
bin100111010000000011…
…110110011101011011
311000210011221221020020
4213100003312131123
51142303204013331
631210013401523
73021254533410
oct472003663533
9130704857206
1042145376091
1116967a69935
1282024992a3
133c88699c80
14207b4aa107
15116a013c96
hex9d00f675b

42145376091 has 64 divisors (see below), whose sum is σ = 75150458880. Its totient is φ = 20381051520.

The previous prime is 42145376069. The next prime is 42145376093. The reversal of 42145376091 is 19067354124.

It is not a de Polignac number, because 42145376091 - 226 = 42078267227 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42145376093) 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 63 ways as a sum of consecutive naturals, for example, 29746 + ... + 291848.

It is an arithmetic number, because the mean of its divisors is an integer number (1174225920).

Almost surely, 242145376091 is an apocalyptic number.

42145376091 is a deficient number, since it is larger than the sum of its proper divisors (33005082789).

42145376091 is a wasteful number, since it uses less digits than its factorization.

42145376091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262176.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 42145376091 in words is "forty-two billion, one hundred forty-five million, three hundred seventy-six thousand, ninety-one".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 133 217 247 273 399 403 589 651 741 1209 1729 1767 2821 4123 5187 7657 8463 12369 22971 53599 160797 262103 786309 1834721 3407339 4979957 5504163 8125193 10222017 14939871 23851373 24375579 34859699 56876351 64739441 71554119 104579097 105627509 154378667 170629053 194218323 316882527 453176087 463136001 739392563 1080650669 1359528261 2006922671 2218177689 3241952007 6020768013 14048458697 42145376091