Search a number
-
+
1153315155240 = 23335432577547
BaseRepresentation
bin10000110010000110111…
…100001010110100101000
311002020220111221021102000
4100302012330022310220
5122343442134431430
62241454202211000
7146216140032633
oct20620674126450
94066814837360
101153315155240
1140513337a266
1216762aab3a60
13849ac605501
143db6c1dac1a
15200013dde60
hex10c86f0ad28

1153315155240 has 192 divisors, whose sum is σ = 3935874110400. Its totient is φ = 300397845888.

The previous prime is 1153315155199. The next prime is 1153315155263. The reversal of 1153315155240 is 425515133511.

1153315155240 is a `hidden beast` number, since 1 + 1 + 53 + 3 + 1 + 51 + 552 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1153315155195 and 1153315155204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1708147 + ... + 2285693.

It is an arithmetic number, because the mean of its divisors is an integer number (20499344325).

Almost surely, 21153315155240 is an apocalyptic number.

1153315155240 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 1153315155240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967937055200).

1153315155240 is an abundant number, since it is smaller than the sum of its proper divisors (2782558955160).

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

1153315155240 is a wasteful number, since it uses less digits than its factorization.

1153315155240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577653 (or 577600 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1153315155240 in words is "one trillion, one hundred fifty-three billion, three hundred fifteen million, one hundred fifty-five thousand, two hundred forty".