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1141200269415 = 35553166710631
BaseRepresentation
bin10000100110110100110…
…101100011000001100111
311001002122012122022100000
4100212310311203001213
5122144134232110130
62232132110152343
7145310002145043
oct20466465430147
94032565568300
101141200269415
113aaa8688a228
121652097b26b3
13837cb71780b
143d33d235023
151ea42a28260
hex109b4d63067

1141200269415 has 96 divisors (see below), whose sum is σ = 2091497780736. Its totient is φ = 596742007680.

The previous prime is 1141200269413. The next prime is 1141200269431. The reversal of 1141200269415 is 5149620021411.

1141200269415 is a `hidden beast` number, since 1 + 14 + 1 + 200 + 26 + 9 + 415 = 666.

It is not a de Polignac number, because 1141200269415 - 21 = 1141200269413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1141200269415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141200269413) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 107341150 + ... + 107351780.

It is an arithmetic number, because the mean of its divisors is an integer number (21786435216).

Almost surely, 21141200269415 is an apocalyptic number.

1141200269415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1141200269415 is a deficient number, since it is larger than the sum of its proper divisors (950297511321).

1141200269415 is a wasteful number, since it uses less digits than its factorization.

1141200269415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1141200269415 in words is "one trillion, one hundred forty-one billion, two hundred million, two hundred sixty-nine thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 243 265 405 477 795 1215 1431 1667 2385 4293 5001 7155 8335 10631 12879 15003 21465 25005 31893 45009 53155 64395 75015 88351 95679 135027 159465 225045 265053 287037 405081 441755 478395 563443 675135 795159 861111 1325265 1435185 1690329 2025405 2385477 2583333 2817215 3975795 4305555 5070987 7156431 8451645 11927385 12916665 15212961 17721877 21469293 25354935 35782155 45638883 53165631 76064805 88609385 107346465 136916649 159496893 228194415 265828155 478490679 684583245 797484465 939259481 1435472037 2392453395 2817778443 4306416111 4696297405 7177360185 8453335329 14088892215 21532080555 25360005987 42266676645 76080017961 126800029935 228240053883 380400089805 1141200269415