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1132273961280 = 2634571141101137
BaseRepresentation
bin10000011110100000110…
…010011000100101000000
311000020121010012212120000
4100132200302120211000
5122022344113230110
62224054240320000
7144542542605060
oct20364062304500
94006533185500
101132273961280
113a7216150870
12163538313000
1382a082c9597
143cb339233a0
151e6be0561c0
hex107a0c98940

1132273961280 has 2240 divisors, whose sum is σ = 5232872139264. Its totient is φ = 225607680000.

The previous prime is 1132273961227. The next prime is 1132273961333. The reversal of 1132273961280 is 821693722311.

It is a happy number.

1132273961280 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 27 + 3 + 9 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1132273961227) and next prime (1132273961333).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8264773372 + ... + 8264773508.

Almost surely, 21132273961280 is an apocalyptic number.

1132273961280 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 1132273961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616436069632).

1132273961280 is an abundant number, since it is smaller than the sum of its proper divisors (4100598177984).

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

1132273961280 is a wasteful number, since it uses less digits than its factorization.

1132273961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 113227396 and 1280, that added together give a triangular number (113228676 = T15048).

The spelling of 1132273961280 in words is "one trillion, one hundred thirty-two billion, two hundred seventy-three million, nine hundred sixty-one thousand, two hundred eighty".