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1141223451264 = 27331325401163
BaseRepresentation
bin10000100110110110001…
…101111110101010000000
311001002200211021001212000
4100212312031332222000
5122144211200420024
62232134255104000
7145310403165441
oct20466615765200
94032624231760
101141223451264
113aaa98983086
12165215512000
13838034732a0
143d34234b2c8
151ea44aa6cc9
hex109b637ea80

1141223451264 has 128 divisors (see below), whose sum is σ = 3627286219200. Its totient is φ = 351145663488.

The previous prime is 1141223451167. The next prime is 1141223451293. The reversal of 1141223451264 is 4621543221411.

1141223451264 is a `hidden beast` number, since 1 + 1 + 412 + 234 + 5 + 1 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 12655654 + ... + 12745509.

Almost surely, 21141223451264 is an apocalyptic number.

It is an amenable number.

1141223451264 is an abundant number, since it is smaller than the sum of its proper divisors (2486062767936).

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

1141223451264 is a wasteful number, since it uses less digits than its factorization.

1141223451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25401199 (or 25401181 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 1141223451264 its reverse (4621543221411), we get a palindrome (5762766672675).

The spelling of 1141223451264 in words is "one trillion, one hundred forty-one billion, two hundred twenty-three million, four hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 25401163 50802326 76203489 101604652 152406978 203209304 228610467 304813956 330215119 406418608 457220934 609627912 660430238 685831401 812837216 914441868 990645357 1219255824 1320860476 1371662802 1625674432 1828883736 1981290714 2438511648 2641720952 2743325604 2971936071 3251348864 3657767472 3962581428 4877023296 5283441904 5486651208 5943872142 7315534944 7925162856 8915808213 9754046592 10566883808 10973302416 11887744284 14631069888 15850325712 17831616426 21133767616 21946604832 23775488568 29262139776 31700651424 35663232852 42267535232 43893209664 47550977136 63401302848 71326465704 87786419328 95101954272 126802605696 142652931408 190203908544 285305862816 380407817088 570611725632 1141223451264