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1158445055040 = 263571341503643
BaseRepresentation
bin10000110110111000101…
…101001011110001000000
311002202011000202011222220
4100312320231023301000
5122434443413230130
62244103213531040
7146460230333010
oct20667055136100
94082130664886
101158445055040
1140732603a979
12168620aa3a80
1385319346090
14400d7633c40
1520201954410
hex10db8b4bc40

1158445055040 has 896 divisors, whose sum is σ = 4653703176192. Its totient is φ = 237613547520.

The previous prime is 1158445055029. The next prime is 1158445055041. The reversal of 1158445055040 is 405505448511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1158445054983 and 1158445055001.

It is not an unprimeable number, because it can be changed into a prime (1158445055041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1801624959 + ... + 1801625601.

It is an arithmetic number, because the mean of its divisors is an integer number (5193865152).

Almost surely, 21158445055040 is an apocalyptic number.

1158445055040 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 1158445055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326851588096).

1158445055040 is an abundant number, since it is smaller than the sum of its proper divisors (3495258121152).

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

1158445055040 is a wasteful number, since it uses less digits than its factorization.

1158445055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 42.

The spelling of 1158445055040 in words is "one trillion, one hundred fifty-eight billion, four hundred forty-five million, fifty-five thousand, forty".