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1131136412440 = 235178315860017
BaseRepresentation
bin10000011101011100111…
…110111110101100011000
311000010122211201101220111
4100131130332332230120
5122013031410144230
62223345322534104
7144502420603126
oct20353476765430
94003584641814
101131136412440
113a679201a561
1216327b367334
138288672c968
143ca6680c916
151e65425492a
hex1075cfbeb18

1131136412440 has 32 divisors (see below), whose sum is σ = 2546484490080. Its totient is φ = 452200776192.

The previous prime is 1131136412431. The next prime is 1131136412447. The reversal of 1131136412440 is 442146311311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131136412447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7858689 + ... + 8001328.

It is an arithmetic number, because the mean of its divisors is an integer number (79577640315).

Almost surely, 21131136412440 is an apocalyptic number.

1131136412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131136412440 is an abundant number, since it is smaller than the sum of its proper divisors (1415348077640).

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

1131136412440 is a wasteful number, since it uses less digits than its factorization.

1131136412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15861811 (or 15861807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1131136412440 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-six million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1783 3566 7132 8915 14264 17830 35660 71320 15860017 31720034 63440068 79300085 126880136 158600170 317200340 634400680 28278410311 56556820622 113113641244 141392051555 226227282488 282784103110 565568206220 1131136412440