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1143378063360 = 2123651343137
BaseRepresentation
bin10000101000110110101…
…001001011000000000000
311001022020222112201000000
4100220312221023000000
5122213114241011420
62233132144000000
7145414655116401
oct20506651130000
94038228481000
101143378063360
114009a4122035
12165717000000
1383a879728a0
143d4a85719a8
151eb1dd0a690
hex10a36a4b000

1143378063360 has 1456 divisors, whose sum is σ = 4566338862624. Its totient is φ = 272895049728.

The previous prime is 1143378063337. The next prime is 1143378063361. The reversal of 1143378063360 is 633608733411.

It is a happy number.

1143378063360 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 7 + 8 + 0 + 633 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143378063361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8345825212 + ... + 8345825348.

Almost surely, 21143378063360 is an apocalyptic number.

1143378063360 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 1143378063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283169431312).

1143378063360 is an abundant number, since it is smaller than the sum of its proper divisors (3422960799264).

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

1143378063360 is an equidigital number, since it uses as much as digits as its factorization.

1143378063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1143378063360 in words is "one trillion, one hundred forty-three billion, three hundred seventy-eight million, sixty-three thousand, three hundred sixty".