Search a number
-
+
40141344200733 = 33191118715794153
BaseRepresentation
bin10010010000010001000101…
…00011111101100000011101
312021010110211021222100211000
421020020202203331200131
520230133433103410413
6221212402353020513
711312054633655426
oct1110104243754035
9167113737870730
1040141344200733
1111876937356106
1246037b2b54739
13195240a79c2b9
149cabcc45264d
1549927d960073
hex2482228fd81d

40141344200733 has 64 divisors (see below), whose sum is σ = 59882681548800. Its totient is φ = 26575114158720.

The previous prime is 40141344200687. The next prime is 40141344200777. The reversal of 40141344200733 is 33700244314104.

40141344200733 is a `hidden beast` number, since 4 + 0 + 1 + 41 + 344 + 200 + 73 + 3 = 666.

It is not a de Polignac number, because 40141344200733 - 212 = 40141344196637 is a prime.

It is a super-2 number, since 2×401413442007332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141344205733) 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 63 ways as a sum of consecutive naturals, for example, 9665623785 + ... + 9665627937.

It is an arithmetic number, because the mean of its divisors is an integer number (935666899200).

Almost surely, 240141344200733 is an apocalyptic number.

It is an amenable number.

40141344200733 is a deficient number, since it is larger than the sum of its proper divisors (19741337348067).

40141344200733 is a wasteful number, since it uses less digits than its factorization.

40141344200733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 40141344200733 its reverse (33700244314104), we get a palindrome (73841588514837).

The spelling of 40141344200733 in words is "forty trillion, one hundred forty-one billion, three hundred forty-four million, two hundred thousand, seven hundred thirty-three".

Divisors: 1 3 9 27 191 573 1187 1579 1719 3561 4153 4737 5157 10683 12459 14211 32049 37377 42633 112131 226717 301589 680151 793223 904767 1874273 2040453 2379669 2714301 4929611 5622819 6121359 6557587 7139007 8142903 14788833 16868457 19672761 21417021 44366499 50605371 59018283 133099497 177054849 357986143 941555701 1073958429 1252499117 2824667103 3221875287 3757497351 7783855769 8474001309 9665625861 11272492053 23351567307 25422003927 33817476159 70054701921 210164105763 1486716451879 4460149355637 13380448066911 40141344200733