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14455364742 = 23271319744797
BaseRepresentation
bin11010111011001101…
…10101110010000110
31101022102022121120100
431131212311302012
5214101033132432
610350220344530
71021134400350
oct153546656206
941272277510
1014455364742
116148749535
1229750a5146
131494a66680
149b1b700d0
155990d107c
hex35d9b5c86

14455364742 has 96 divisors (see below), whose sum is σ = 38744177472. Its totient is φ = 3792966912.

The previous prime is 14455364731. The next prime is 14455364747. The reversal of 14455364742 is 24746355441.

14455364742 is a `hidden beast` number, since 1 + 4 + 45 + 536 + 4 + 74 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14455364747) 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 47 ways as a sum of consecutive naturals, for example, 300288 + ... + 345084.

It is an arithmetic number, because the mean of its divisors is an integer number (403585182).

Almost surely, 214455364742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455364742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372088736).

14455364742 is an abundant number, since it is smaller than the sum of its proper divisors (24288812730).

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

14455364742 is a wasteful number, since it uses less digits than its factorization.

14455364742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45022 (or 45019 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 14455364742 in words is "fourteen billion, four hundred fifty-five million, three hundred sixty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 197 234 273 394 546 591 819 1182 1379 1638 1773 2561 2758 3546 4137 5122 7683 8274 12411 15366 17927 23049 24822 35854 44797 46098 53781 89594 107562 134391 161343 268782 313579 322686 403173 582361 627158 806346 940737 1164722 1747083 1881474 2822211 3494166 4076527 5241249 5644422 8153054 8825009 10482498 12229581 17650018 24459162 26475027 36688743 52950054 61775063 73377486 79425081 114725117 123550126 158850162 185325189 229450234 344175351 370650378 555975567 688350702 803075819 1032526053 1111951134 1606151638 2065052106 2409227457 4818454914 7227682371 14455364742