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1141344404304 = 2431310931673447
BaseRepresentation
bin10000100110111101011…
…011011000001101010000
311001010000020212010020020
4100212331123120031100
5122144433131414204
62232154255343440
7145313402236266
oct20467533301520
94033006763206
101141344404304
11400050185975
12165249b21b80
1383822541c30
143d354434436
151ea504e9bd9
hex109bd6d8350

1141344404304 has 80 divisors (see below), whose sum is σ = 3178185666432. Its totient is φ = 350861382144.

The previous prime is 1141344404279. The next prime is 1141344404311. The reversal of 1141344404304 is 4034044431411.

It is a super-2 number, since 2×11413444043042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 154692 + ... + 1518755.

Almost surely, 21141344404304 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 1141344404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589092833216).

1141344404304 is an abundant number, since it is smaller than the sum of its proper divisors (2036841262128).

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

1141344404304 is a wasteful number, since it uses less digits than its factorization.

1141344404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674564 (or 1674558 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1141344404304 its reverse (4034044431411), we get a palindrome (5175388835715).

The spelling of 1141344404304 in words is "one trillion, one hundred forty-one billion, three hundred forty-four million, four hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1093 2186 3279 4372 6558 8744 13116 14209 17488 26232 28418 42627 52464 56836 85254 113672 170508 227344 341016 682032 1673447 3346894 5020341 6693788 10040682 13387576 20081364 21754811 26775152 40162728 43509622 65264433 80325456 87019244 130528866 174038488 261057732 348076976 522115464 1044230928 1829077571 3658155142 5487232713 7316310284 10974465426 14632620568 21948930852 23778008423 29265241136 43897861704 47556016846 71334025269 87795723408 95112033692 142668050538 190224067384 285336101076 380448134768 570672202152 1141344404304