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147402840960 = 2734511325163
BaseRepresentation
bin1000100101000111100…
…1001101101110000000
3112002110202110011110000
42021101321031232000
54403340111402320
6151414350240000
713435531322004
oct2112171155600
9462422404400
10147402840960
1157571074121
1224698ab6000
1310b9149266b
1471c488c704
153c7aab0c90
hex2251e4db80

147402840960 has 320 divisors, whose sum is σ = 531081690480. Its totient is φ = 38958022656.

The previous prime is 147402840953. The next prime is 147402840961. The reversal of 147402840960 is 69048204741.

147402840960 is a `hidden beast` number, since 147 + 40 + 2 + 8 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (147402840961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5845339 + ... + 5870501.

Almost surely, 2147402840960 is an apocalyptic number.

147402840960 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 147402840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265540845240).

147402840960 is an abundant number, since it is smaller than the sum of its proper divisors (383678849520).

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

147402840960 is a wasteful number, since it uses less digits than its factorization.

147402840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25307 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 147402840960 in words is "one hundred forty-seven billion, four hundred two million, eight hundred forty thousand, nine hundred sixty".