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1142467009152 = 27372896431061
BaseRepresentation
bin10000101000000000010…
…101110001101010000000
311001012220111020100120120
4100220000111301222000
5122204233023243102
62232501520540240
7145353253230600
oct20500025615200
94035814210516
101142467009152
1140057692a577
12165501a81680
1383970ca8861
143d41d578c00
151eab8d486bc
hex10a00571a80

1142467009152 has 384 divisors, whose sum is σ = 3578721652800. Its totient is φ = 321945845760.

The previous prime is 1142467009147. The next prime is 1142467009171. The reversal of 1142467009152 is 2519007642411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076782702 + ... + 1076783762.

Almost surely, 21142467009152 is an apocalyptic number.

1142467009152 is a gapful number since it is divisible by the number (12) 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 1142467009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789360826400).

1142467009152 is an abundant number, since it is smaller than the sum of its proper divisors (2436254643648).

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

1142467009152 is a wasteful number, since it uses less digits than its factorization.

1142467009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1142467009152 in words is "one trillion, one hundred forty-two billion, four hundred sixty-seven million, nine thousand, one hundred fifty-two".