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1142463693888 = 2634111071131657
BaseRepresentation
bin10000101000000000001…
…001001000010001000000
311001012220020222220220000
4100220000021020101000
5122204231201201023
62232501321520000
7145353213112236
oct20500011102100
94035806886800
101142463693888
11400574a75790
12165500943000
13839703b786a
143d41cd54956
151eab88e1243
hex10a00248440

1142463693888 has 560 divisors, whose sum is σ = 3764293435584. Its totient is φ = 339725352960.

The previous prime is 1142463693887. The next prime is 1142463693947. The reversal of 1142463693888 is 8883963642411.

1142463693888 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 463 + 6 + 93 + 8 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142463693887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 689476356 + ... + 689478012.

Almost surely, 21142463693888 is an apocalyptic number.

1142463693888 is a gapful number since it is divisible by the number (18) 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 1142463693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882146717792).

1142463693888 is an abundant number, since it is smaller than the sum of its proper divisors (2621829741696).

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

1142463693888 is a wasteful number, since it uses less digits than its factorization.

1142463693888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1893 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 1142463693888 in words is "one trillion, one hundred forty-two billion, four hundred sixty-three million, six hundred ninety-three thousand, eight hundred eighty-eight".