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74440427422014 = 23813799411113
BaseRepresentation
bin10000111011010000000011…
…001110111100000100111110
3100202120102202101012200000000
4100323100003032330010332
534224112443410001024
6422153243225415130
721452100120663243
oct2073200316740476
9322512671180000
1074440427422014
11217a000a692665
12842307863a4a6
13326c918916054
141454d161d75ca
1589157665ecc9
hex43b4033bc13e

74440427422014 has 72 divisors (see below), whose sum is σ = 167494996983600. Its totient is φ = 24811617246624.

The previous prime is 74440427422001. The next prime is 74440427422019. The reversal of 74440427422014 is 41022472404447.

74440427422014 is a `hidden beast` number, since 7 + 4 + 4 + 404 + 2 + 7 + 4 + 220 + 14 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74440427422019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180864922 + ... + 181276034.

It is an arithmetic number, because the mean of its divisors is an integer number (2326319402550).

Almost surely, 274440427422014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74440427422014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83747498491800).

74440427422014 is an abundant number, since it is smaller than the sum of its proper divisors (93054569561586).

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

74440427422014 is an equidigital number, since it uses as much as digits as its factorization.

74440427422014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424938 (or 424917 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 45.

The spelling of 74440427422014 in words is "seventy-four trillion, four hundred forty billion, four hundred twenty-seven million, four hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 13799 27598 41397 82794 124191 248382 372573 411113 745146 822226 1117719 1233339 2235438 2466678 3353157 3700017 6706314 7400034 10059471 11100051 20118942 22200102 30178413 33300153 60356826 66600306 90535239 99900459 181070478 199800918 299701377 599402754 899104131 1798208262 2697312393 5394624786 5672948287 11345896574 17018844861 34037689722 51056534583 102113069166 153169603749 306339207498 459508811247 919017622494 1378526433741 2757052867482 4135579301223 8271158602446 12406737903669 24813475807338 37220213711007 74440427422014