Search a number
-
+
1142348447232 = 2932834636451
BaseRepresentation
bin10000100111111001010…
…001011111111000000000
311001012121020010210012100
4100213321101133320000
5122204012200302412
62232442043430400
7145350313406166
oct20477121377000
94035536123170
101142348447232
11400515a10213
1216548a225400
1383952566385
143d40b915236
151eaad728edc
hex109f945fe00

1142348447232 has 240 divisors, whose sum is σ = 3344341448448. Its totient is φ = 375324364800.

The previous prime is 1142348447231. The next prime is 1142348447249. The reversal of 1142348447232 is 2327448432411.

1142348447232 is a `hidden beast` number, since 1 + 1 + 42 + 34 + 84 + 472 + 32 = 666.

It is a super-2 number, since 2×11423484472322 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142348447231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177077607 + ... + 177084057.

Almost surely, 21142348447232 is an apocalyptic number.

1142348447232 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 1142348447232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672170724224).

1142348447232 is an abundant number, since it is smaller than the sum of its proper divisors (2201993001216).

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

1142348447232 is an equidigital number, since it uses as much as digits as its factorization.

1142348447232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7002 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 1142348447232 in words is "one trillion, one hundred forty-two billion, three hundred forty-eight million, four hundred forty-seven thousand, two hundred thirty-two".