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147399994368 = 21032111731289
BaseRepresentation
bin1000100101000110111…
…0010110110000000000
3112002110120002112122200
42021101232112300000
54403333344304433
6151414205233200
713435465164624
oct2112156266000
9462416075580
10147399994368
115756a4aa470
1224697b62800
1310b90a06aa3
1471c434b184
153c7a6ec613
hex2251b96c00

147399994368 has 792 divisors, whose sum is σ = 513696615120. Its totient is φ = 40225996800.

The previous prime is 147399994367. The next prime is 147399994369. The reversal of 147399994368 is 863499993741.

147399994368 is a `hidden beast` number, since 1 + 473 + 9 + 9 + 9 + 94 + 3 + 68 = 666.

147399994368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147399994367) and next prime (147399994369).

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 147399994296 and 147399994305.

It is not an unprimeable number, because it can be changed into a prime (147399994363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1656179668 + ... + 1656179756.

Almost surely, 2147399994368 is an apocalyptic number.

147399994368 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 147399994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256848307560).

147399994368 is an abundant number, since it is smaller than the sum of its proper divisors (366296620752).

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

147399994368 is a wasteful number, since it uses less digits than its factorization.

147399994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 153 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 147399994368 in words is "one hundred forty-seven billion, three hundred ninety-nine million, nine hundred ninety-four thousand, three hundred sixty-eight".