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4031084396916 = 2234142922933797
BaseRepresentation
bin111010101010001111010…
…110101000000101110100
3112021100221012110200020000
4322222033112220011310
51012021130101200131
612323504332311300
7564144013011033
oct72521726500564
915240835420200
104031084396916
1113146340630a5
12551302012530
1323318ba3a4c5
14dd1697c471a
156eccedd6ce6
hex3aa8f5a8174

4031084396916 has 120 divisors (see below), whose sum is σ = 10552802780520. Its totient is φ = 1341815424768.

The previous prime is 4031084396869. The next prime is 4031084396917. The reversal of 4031084396916 is 6196934801304.

4031084396916 is a `hidden beast` number, since 40 + 3 + 108 + 439 + 69 + 1 + 6 = 666.

4031084396916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 380516259600 + 3650568137316 = 616860^2 + 1910646^2 .

It is a super-2 number, since 2×40310843969162 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031084396917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1061647930 + ... + 1061651726.

It is an arithmetic number, because the mean of its divisors is an integer number (87940023171).

Almost surely, 24031084396916 is an apocalyptic number.

It is an amenable number.

4031084396916 is an abundant number, since it is smaller than the sum of its proper divisors (6521718383604).

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

4031084396916 is a wasteful number, since it uses less digits than its factorization.

4031084396916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4031084396916 in words is "four trillion, thirty-one billion, eighty-four million, three hundred ninety-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1429 2293 2858 3797 4287 4586 5716 6879 7594 8574 9172 11391 12861 13758 15188 17148 20637 22782 25722 27516 34173 38583 41274 45564 51444 61911 68346 77166 82548 102519 115749 123822 136692 154332 185733 205038 231498 247644 307557 371466 410076 462996 615114 742932 1230228 3276697 5425913 6553394 8706521 9830091 10851826 13106788 16277739 17413042 19660182 21703652 26119563 29490273 32555478 34826084 39320364 48833217 52239126 58980546 65110956 78358689 88470819 97666434 104478252 117961092 146499651 156717378 176941638 195332868 235076067 265412457 292999302 313434756 353883276 439498953 470152134 530824914 585998604 705228201 878997906 940304268 1061649828 1410456402 1757995812 2820912804 12441618509 24883237018 37324855527 49766474036 74649711054 111974566581 149299422108 223949133162 335923699743 447898266324 671847399486 1007771099229 1343694798972 2015542198458 4031084396916