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1141360558632 = 2332779262110937
BaseRepresentation
bin10000100110111110011…
…001000000001000101000
311001010001101020211210200
4100212332121000020220
5122200001300334012
62232200033512200
7145313656450410
oct20467631001050
94033041224720
101141360558632
11400059309958
12165253412660
13838259a9ac8
143d35663b640
151ea51b3b3dc
hex109be640228

1141360558632 has 192 divisors, whose sum is σ = 3579193612800. Its totient is φ = 321822858240.

The previous prime is 1141360558607. The next prime is 1141360558643. The reversal of 1141360558632 is 2368550631411.

1141360558632 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 6 + 0 + 5 + 5 + 8 + 632 = 666.

It is a super-2 number, since 2×11413605586322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104352268 + ... + 104363204.

It is an arithmetic number, because the mean of its divisors is an integer number (18641633400).

Almost surely, 21141360558632 is an apocalyptic number.

1141360558632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141360558632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789596806400).

1141360558632 is an abundant number, since it is smaller than the sum of its proper divisors (2437833054168).

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

1141360558632 is a wasteful number, since it uses less digits than its factorization.

1141360558632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1141360558632 in words is "one trillion, one hundred forty-one billion, three hundred sixty million, five hundred fifty-eight thousand, six hundred thirty-two".