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4240077898932 = 223217103428915683
BaseRepresentation
bin111101101100111000010…
…101100100010010110100
3120000100101022121121011200
4331230320111210102310
51023432134420231212
613003510452332500
7615223040323401
oct75547025442264
916010338547150
104240077898932
111395230487497
12585909614130
13249ab73730b5
141093140a92a8
1575462ba26dc
hex3db385644b4

4240077898932 has 144 divisors (see below), whose sum is σ = 11462025294720. Its totient is φ = 1316914642944.

The previous prime is 4240077898921. The next prime is 4240077898937. The reversal of 4240077898932 is 2398987700424.

4240077898932 is a `hidden beast` number, since 4 + 2 + 400 + 77 + 89 + 89 + 3 + 2 = 666.

4240077898932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4240077898932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240077898937) 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, 270353563 + ... + 270369245.

It is an arithmetic number, because the mean of its divisors is an integer number (79597397880).

Almost surely, 24240077898932 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 4240077898932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731012647360).

4240077898932 is an abundant number, since it is smaller than the sum of its proper divisors (7221947395788).

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

4240077898932 is a wasteful number, since it uses less digits than its factorization.

4240077898932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102 (or 20097 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4240077898932 in words is "four trillion, two hundred forty billion, seventy-seven million, eight hundred ninety-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3708 4289 5253 7004 8578 10506 12867 15683 15759 17156 21012 25734 31366 31518 38601 47049 51468 62732 63036 72913 77202 94098 141147 145826 154404 188196 218739 266611 282294 291652 437478 441767 533222 564588 656217 799833 874956 883534 1066444 1312434 1325301 1599666 1615349 1767068 2399499 2624868 2650602 3199332 3230698 3975903 4798998 4846047 5301204 6461396 7510039 7951806 9597996 9692094 14538141 15020078 15903612 19384188 22530117 27460933 29076282 30040156 45060234 54921866 58152564 67264387 67590351 82382799 90120468 109843732 134528774 135180702 164765598 201793161 247148397 269057548 270361404 329531196 403586322 494296794 605379483 807172644 988593588 1143494579 1210758966 2286989158 2421517932 3430483737 4573978316 6860967474 6928231861 10291451211 13721934948 13856463722 20582902422 20784695583 27712927444 41165804844 41569391166 62354086749 83138782332 117779941637 124708173498 235559883274 249416346996 353339824911 471119766548 706679649822 1060019474733 1413359299644 2120038949466 4240077898932