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14254171074 = 23311136727551
BaseRepresentation
bin11010100011001110…
…10110001111000010
31100210101201220202000
431101213112033002
5213143031433244
610314232204430
71013142312033
oct152147261702
940711656660
1014254171074
116055120780
122919839716
131462181c70
1499315aa8a
155865dd169
hex3519d63c2

14254171074 has 128 divisors (see below), whose sum is σ = 37770485760. Its totient is φ = 3927528000.

The previous prime is 14254170971. The next prime is 14254171097. The reversal of 14254171074 is 47017145241.

14254171074 is a `hidden beast` number, since 1 + 4 + 2 + 541 + 7 + 107 + 4 = 666.

14254171074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 503599 + ... + 531149.

It is an arithmetic number, because the mean of its divisors is an integer number (295081920).

Almost surely, 214254171074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14254171074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885242880).

14254171074 is an abundant number, since it is smaller than the sum of its proper divisors (23516314686).

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

14254171074 is a wasteful number, since it uses less digits than its factorization.

14254171074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27653 (or 27647 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 14254171074 in words is "fourteen billion, two hundred fifty-four million, one hundred seventy-one thousand, seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 67 78 99 117 134 143 198 201 234 286 297 351 402 429 594 603 702 737 858 871 1206 1287 1474 1742 1809 2211 2574 2613 3618 3861 4422 5226 6633 7722 7839 9581 13266 15678 19162 19899 23517 27551 28743 39798 47034 55102 57486 82653 86229 165306 172458 247959 258687 303061 358163 495918 517374 606122 716326 743877 909183 1074489 1487754 1818366 1845917 2148978 2727549 3223467 3691834 3939793 5455098 5537751 6446934 7879586 8182647 9670401 11075502 11819379 16365294 16613253 19340802 20305087 23638758 23996921 33226506 35458137 40610174 47993842 49839759 60915261 70916274 71990763 99679518 106374411 121830522 143981526 182745783 212748822 215972289 263966131 365491566 431944578 527932262 548237349 647916867 791898393 1096474698 1295833734 1583796786 2375695179 4751390358 7127085537 14254171074