Search a number
-
+
1281199881312 = 253313114066941
BaseRepresentation
bin10010101001001101011…
…101101011110001100000
311112111000000121110201000
4102221031131223301200
5131442344132200222
62420324115512000
7161364220206621
oct22511535536140
94474000543630
101281199881312
11454398a2881a
1218837b2b8600
1393a801a1c60
14460207a1a48
15234d86be9ac
hex12a4d76bc60

1281199881312 has 96 divisors (see below), whose sum is σ = 4024281713760. Its totient is φ = 394215344640.

The previous prime is 1281199881307. The next prime is 1281199881331. The reversal of 1281199881312 is 2131889911821.

It is a happy number.

1281199881312 is a `hidden beast` number, since 128 + 119 + 98 + 8 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57022239 + ... + 57044702.

It is an arithmetic number, because the mean of its divisors is an integer number (41919601185).

Almost surely, 21281199881312 is an apocalyptic number.

1281199881312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1281199881312 is an abundant number, since it is smaller than the sum of its proper divisors (2743081832448).

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

1281199881312 is a wasteful number, since it uses less digits than its factorization.

1281199881312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114066973 (or 114066959 counting only the distinct ones).

The product of its digits is 497664, while the sum is 54.

The spelling of 1281199881312 in words is "one trillion, two hundred eighty-one billion, one hundred ninety-nine million, eight hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 114066941 228133882 342200823 456267764 684401646 912535528 1026602469 1368803292 1482870233 1825071056 2053204938 2737606584 2965740466 3079807407 3650142112 4106409876 4448610699 5475213168 5931480932 6159614814 8212819752 8897221398 10950426336 11862961864 12319229628 13345832097 16425639504 17794442796 23725923728 24638459256 26691664194 32851279008 35588885592 40037496291 47451847456 49276918512 53383328388 71177771184 80074992582 98553837024 106766656776 142355542368 160149985164 213533313552 320299970328 427066627104 640599940656 1281199881312