Search a number
-
+
31423769695368 = 2332172388612
BaseRepresentation
bin1110010010100011010101…
…01000010101010010001000
311010021002020112120012002200
413021101222220111102020
513104321340020222433
6150455514105000200
76422202210204531
oct711215250252210
9133232215505080
1031423769695368
11a015822860286
123636178a83060
13146c33070760b
147a8cc07a1688
1539760ead6613
hex1c946aa15488

31423769695368 has 108 divisors (see below), whose sum is σ = 90409091795295. Its totient is φ = 9858183866880.

The previous prime is 31423769695361. The next prime is 31423769695421. The reversal of 31423769695368 is 86359696732413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31423769695368 is a `hidden beast` number, since 3 + 1 + 4 + 23 + 7 + 6 + 9 + 69 + 536 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 31304897826084 + 118871869284 = 5595078^2 + 344778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3963822.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 31423769695296 and 31423769695305.

It is not an unprimeable number, because it can be changed into a prime (31423769695361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 808600258 + ... + 808639118.

Almost surely, 231423769695368 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 31423769695368

31423769695368 is an abundant number, since it is smaller than the sum of its proper divisors (58985322099927).

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

31423769695368 is an frugal number, since it uses more digits than its factorization.

31423769695368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77768 (or 38883 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

31423769695368 divided by its sum of digits (72) gives a square (436441245769 = 6606372).

The spelling of 31423769695368 in words is "thirty-one trillion, four hundred twenty-three billion, seven hundred sixty-nine million, six hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 38861 77722 116583 155444 233166 310888 349749 466332 660637 699498 932664 1321274 1398996 1981911 2642548 2797992 3963822 5285096 5945733 7927644 11230829 11891466 15855288 22461658 23782932 33692487 44923316 47565864 67384974 89846632 101077461 134769948 202154922 269539896 404309844 808619688 1510177321 3020354642 4530531963 6040709284 9061063926 12081418568 13591595889 18122127852 25673014457 27183191778 36244255704 51346028914 54366383556 77019043371 102692057828 108732767112 154038086742 205384115656 231057130113 308076173484 436441245769 462114260226 616152346968 872882491538 924228520452 1309323737307 1745764983076 1848457040904 2618647474614 3491529966152 3927971211921 5237294949228 7855942423842 10474589898456 15711884847684 31423769695368