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40940782643172 = 22323832003892253
BaseRepresentation
bin10010100111100010001001…
…10011100110011111100100
312100221220022112110000122110
421103301010303212133210
520331233210324040142
6223023534053201020
711423605521421416
oct1123610463463744
9170856275400573
1040940782643172
1112054985529345
124712721330170
1319ac9122bc999
14a17789d9a9b6
154aee6c7c999c
hex253c44ce67e4

40940782643172 has 96 divisors (see below), whose sum is σ = 100933371399168. Its totient is φ = 12889857844864.

The previous prime is 40940782643171. The next prime is 40940782643203. The reversal of 40940782643172 is 27134628704904.

40940782643172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409407826431722 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40940782643171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45438598 + ... + 46330850.

It is an arithmetic number, because the mean of its divisors is an integer number (1051389285408).

Almost surely, 240940782643172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40940782643172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50466685699584).

40940782643172 is an abundant number, since it is smaller than the sum of its proper divisors (59992588755996).

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

40940782643172 is a wasteful number, since it uses less digits than its factorization.

40940782643172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894369 (or 894367 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 40940782643172 in words is "forty trillion, nine hundred forty billion, seven hundred eighty-two million, six hundred forty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 996 1909 2003 3818 4006 5727 6009 7636 8012 11454 12018 22908 24036 46069 92138 138207 166249 184276 276414 332498 498747 552828 664996 892253 997494 1784506 1994988 2676759 3569012 3823727 5353518 7647454 10707036 11471181 15294908 20521819 22942362 41043638 45884724 61565457 74056999 82087276 123130914 148113998 222170997 246261828 296227996 444341994 888683988 1703310977 1787182759 3406621954 3574365518 5109932931 5361548277 6813243908 7148731036 10219865862 10723096554 20439731724 21446193108 41105203457 82210406914 123315610371 148336168997 164420813828 246631220742 296672337994 445008506991 493262441484 593344675988 890017013982 1780034027964 3411731886931 6823463773862 10235195660793 13646927547724 20470391321586 40940782643172