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142340951376 = 24351318115559
BaseRepresentation
bin1000010010010000101…
…1101000110101010000
3111121101222121112100000
42010210023220311100
54313003240421001
6145220204330000
713166225060301
oct2044413506520
9447358545300
10142340951376
11554038355a8
1223705843900
1310565874a20
146c644ba7a8
153a814d1a86
hex21242e8d50

142340951376 has 240 divisors, whose sum is σ = 447375393920. Its totient is φ = 43552442880.

The previous prime is 142340951371. The next prime is 142340951387. The reversal of 142340951376 is 673159043241.

142340951376 is a `hidden beast` number, since 1 + 4 + 23 + 40 + 9 + 513 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142340951371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9140685 + ... + 9156243.

Almost surely, 2142340951376 is an apocalyptic number.

142340951376 is a gapful number since it is divisible by the number (16) 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 142340951376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223687696960).

142340951376 is an abundant number, since it is smaller than the sum of its proper divisors (305034442544).

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

142340951376 is a wasteful number, since it uses less digits than its factorization.

142340951376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15776 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 142340951376 in words is "one hundred forty-two billion, three hundred forty million, nine hundred fifty-one thousand, three hundred seventy-six".