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1131126455544 = 2332943103366941
BaseRepresentation
bin10000011101011100011…
…000111111110011111000
311000010122010222112121120
4100131130120333303320
5122013021333034134
62223344325305240
7144502240143231
oct20353430776370
94003563875546
101131126455544
113a6787439818
12163277b65220
13828846548c7
143ca6537a088
151e653439649
hex1075c63fcf8

1131126455544 has 128 divisors (see below), whose sum is σ = 3022427865600. Its totient is φ = 352121495040.

The previous prime is 1131126455519. The next prime is 1131126455581. The reversal of 1131126455544 is 4455546211311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1131126455496 and 1131126455505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2899114 + ... + 3266054.

It is an arithmetic number, because the mean of its divisors is an integer number (23612717700).

Almost surely, 21131126455544 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 1131126455544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511213932800).

1131126455544 is an abundant number, since it is smaller than the sum of its proper divisors (1891301410056).

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

1131126455544 is a wasteful number, since it uses less digits than its factorization.

1131126455544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367125 (or 367121 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

It can be divided in two parts, 113112 and 6455544, that added together give a palindrome (6568656).

The spelling of 1131126455544 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-six million, four hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 103 116 129 172 174 206 232 258 309 344 348 412 516 618 696 824 1032 1236 1247 2472 2494 2987 3741 4429 4988 5974 7482 8858 8961 9976 11948 13287 14964 17716 17922 23896 26574 29928 35432 35844 53148 71688 106296 128441 256882 366941 385323 513764 733882 770646 1027528 1100823 1467764 1541292 2201646 2935528 3082584 4403292 8806584 10641289 15778463 21282578 31556926 31923867 37794923 42565156 47335389 63113852 63847734 75589846 85130312 94670778 113384769 126227704 127695468 151179692 189341556 226769538 255390936 302359384 378683112 453539076 457575427 907078152 915150854 1096052767 1372726281 1625181689 1830301708 2192105534 2745452562 3250363378 3288158301 3660603416 4384211068 4875545067 5490905124 6500726756 6576316602 8768422136 9751090134 10981810248 13001453512 13152633204 19502180268 26305266408 39004360536 47130268981 94260537962 141390806943 188521075924 282781613886 377042151848 565563227772 1131126455544