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1141309591812 = 2232133457705437
BaseRepresentation
bin10000100110111011010…
…110100101000100000100
311001002220211100110110200
4100212323112211010010
5122144400223414222
62232151013250500
7145312500315165
oct20467326450404
94032824313420
101141309591812
11400032568815
1216523a333a30
1383818273620
143d34d97176c
151ea4c41eeac
hex109bb5a5104

1141309591812 has 72 divisors (see below), whose sum is σ = 3107801465496. Its totient is φ = 351070101504.

The previous prime is 1141309591789. The next prime is 1141309591813. The reversal of 1141309591812 is 2181959031411.

1141309591812 is a `hidden beast` number, since 1 + 1 + 41 + 3 + 0 + 9 + 591 + 8 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17908862976 + 1123400728836 = 133824^2 + 1059906^2 .

It is not an unprimeable number, because it can be changed into a prime (1141309591813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265158 + ... + 1970594.

It is an arithmetic number, because the mean of its divisors is an integer number (43163909243).

Almost surely, 21141309591812 is an apocalyptic number.

1141309591812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141309591812 is an abundant number, since it is smaller than the sum of its proper divisors (1966491873684).

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

1141309591812 is a wasteful number, since it uses less digits than its factorization.

1141309591812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708917 (or 708912 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1141309591812 in words is "one trillion, one hundred forty-one billion, three hundred nine million, five hundred ninety-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3457 6914 10371 13828 20742 31113 41484 44941 62226 89882 124452 134823 179764 269646 404469 539292 705437 808938 1410874 1617876 2116311 2821748 4232622 6348933 8465244 9170681 12697866 18341362 25395732 27512043 36682724 55024086 82536129 110048172 165072258 330144516 2438695709 4877391418 7316087127 9754782836 14632174254 21948261381 29264348508 31703044217 43896522762 63406088434 87793045524 95109132651 126812176868 190218265302 285327397953 380436530604 570654795906 1141309591812