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40134563144082 = 232114147105189317
BaseRepresentation
bin10010010000000100011100…
…11000010010000110010010
312021002211022201012222211200
421020002032120102012102
520230031041131102312
6221205321435252030
711311424613642111
oct1110021630220622
9167084281188750
1040134563144082
1111873a77652960
12460241bbaa016
131951899953b44
149ca747a09c78
15498ed34930dc
hex24808e612192

40134563144082 has 96 divisors (see below), whose sum is σ = 99244859261184. Its totient is φ = 11612900486400.

The previous prime is 40134563144077. The next prime is 40134563144089. The reversal of 40134563144082 is 28044136543104.

40134563144082 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 5 + 631 + 4 + 4 + 0 + 8 + 2 = 666.

It is a super-2 number, since 2×401345631440822 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40134563144089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52213113 + ... + 52976204.

It is an arithmetic number, because the mean of its divisors is an integer number (1033800617304).

Almost surely, 240134563144082 is an apocalyptic number.

40134563144082 is an abundant number, since it is smaller than the sum of its proper divisors (59110296117102).

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

40134563144082 is a wasteful number, since it uses less digits than its factorization.

40134563144082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105189424 (or 105189421 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 40134563144082 its reverse (28044136543104), we get a palindrome (68178699687186).

The spelling of 40134563144082 in words is "forty trillion, one hundred thirty-four billion, five hundred sixty-three million, one hundred forty-four thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 47 66 82 94 99 123 141 198 246 282 369 423 451 517 738 846 902 1034 1353 1551 1927 2706 3102 3854 4059 4653 5781 8118 9306 11562 17343 21197 34686 42394 63591 127182 190773 381546 105189317 210378634 315567951 631135902 946703853 1157082487 1893407706 2314164974 3471247461 4312761997 4943897899 6942494922 8625523994 9887795798 10413742383 12938285991 14831693697 20827484766 25876571982 29663387394 38814857973 44495081091 47440381967 54382876889 77629715946 88990162182 94880763934 108765753778 142321145901 163148630667 202699813859 284642291802 326297261334 405399627718 426963437703 489445892001 608099441577 853926875406 978891784002 1216198883154 1824298324731 2229697952449 3648596649462 4459395904898 6689093857347 13378187714694 20067281572041 40134563144082