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40217651714142 = 23273112781073841
BaseRepresentation
bin10010010010011111001101…
…10110000001100001011110
312021101202210022000200110100
421021033212312001201132
520232411222314323032
6221311422323521530
711320425621065130
oct1111174666014136
9167352708020410
1040217651714142
11118a6234a14381
12461654a2292a6
13195967b9112b6
149d078aa45050
1549b247b9d97c
hex2493e6d8185e

40217651714142 has 96 divisors (see below), whose sum is σ = 103608478531584. Its totient is φ = 11032528147200.

The previous prime is 40217651714113. The next prime is 40217651714183. The reversal of 40217651714142 is 24141715671204.

It is a happy number.

40217651714142 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 7 + 65 + 171 + 414 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40040859 + ... + 41032982.

It is an arithmetic number, because the mean of its divisors is an integer number (1079254984704).

Almost surely, 240217651714142 is an apocalyptic number.

40217651714142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40217651714142 is an abundant number, since it is smaller than the sum of its proper divisors (63390826817442).

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

40217651714142 is a wasteful number, since it uses less digits than its factorization.

40217651714142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81074014 (or 81074011 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40217651714142 in words is "forty trillion, two hundred seventeen billion, six hundred fifty-one million, seven hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 127 186 217 254 279 381 434 558 651 762 889 1143 1302 1778 1953 2286 2667 3906 3937 5334 7874 8001 11811 16002 23622 27559 35433 55118 70866 82677 165354 248031 496062 81073841 162147682 243221523 486443046 567516887 729664569 1135033774 1459329138 1702550661 2513289071 3405101322 5026578142 5107651983 7539867213 10215303966 10296377807 15079734426 17593023497 20592755614 22619601639 30889133421 35186046994 45239203278 52779070491 61778266842 72074644649 92667400263 105558140982 144149289298 158337211473 185334800526 216223933947 316674422946 319187712017 432447867894 638375424034 648671801841 957563136051 1297343603682 1915126272102 2234313984119 2872689408153 4468627968238 5745378816306 6702941952357 13405883904714 20108825857071 40217651714142