Search a number
-
+
40984403837112 = 233317291792150131
BaseRepresentation
bin10010101000110011011001…
…10101010000000010111000
312101010001220120102021101000
421110121230311100002320
520332442024340241422
6223055550350525000
711430011506435101
oct1124315465200270
9171101816367330
1040984403837112
111207142a560a4a
12471b075b06760
1319b3a74663048
14a199274733a8
154b117215ccac
hex25466cd500b8

40984403837112 has 256 divisors, whose sum is σ = 125395698240000. Its totient is φ = 12345117603840.

The previous prime is 40984403837093. The next prime is 40984403837281. The reversal of 40984403837112 is 21173830448904.

40984403837112 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 440 + 3 + 83 + 7 + 112 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 17986287 + ... + 20136417.

It is an arithmetic number, because the mean of its divisors is an integer number (489826946250).

Almost surely, 240984403837112 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 40984403837112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62697849120000).

40984403837112 is an abundant number, since it is smaller than the sum of its proper divisors (84411294402888).

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

40984403837112 is a wasteful number, since it uses less digits than its factorization.

40984403837112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150371 (or 2150361 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40984403837112 in words is "forty trillion, nine hundred eighty-four billion, four hundred three million, eight hundred thirty-seven thousand, one hundred twelve".