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1138655802240 = 27345116729803
BaseRepresentation
bin10000100100011101001…
…011001011001110000000
311000212001212202222120000
4100210131023023032000
5122123431341132430
62231031413320000
7145156644424305
oct20443513131600
94025055688500
101138655802240
113a99a05743a0
12164819636000
13834b4519438
143d17b32b0ac
151e944466e60
hex1091d2cb380

1138655802240 has 640 divisors, whose sum is σ = 4502373448320. Its totient is φ = 271908679680.

The previous prime is 1138655802233. The next prime is 1138655802247. The reversal of 1138655802240 is 422085568311.

1138655802240 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 6 + 5 + 580 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1138655802233) and next prime (1138655802247).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138655802247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38191179 + ... + 38220981.

It is an arithmetic number, because the mean of its divisors is an integer number (7034958513).

Almost surely, 21138655802240 is an apocalyptic number.

1138655802240 is a gapful number since it is divisible by the number (10) 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 1138655802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251186724160).

1138655802240 is an abundant number, since it is smaller than the sum of its proper divisors (3363717646080).

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

1138655802240 is a wasteful number, since it uses less digits than its factorization.

1138655802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29912 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1138655802240 in words is "one trillion, one hundred thirty-eight billion, six hundred fifty-five million, eight hundred two thousand, two hundred forty".