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147947240448 = 2103373792017
BaseRepresentation
bin1000100111001001010…
…1111011110000000000
3112010212200211112011000
42021302111323300000
54410443443143243
6151544354452000
713455161536350
oct2116225736000
9463780745130
10147947240448
11578203a6557
122480b294000
1310c4a1c1937
147236cc0b60
153cad7995d3
hex227257bc00

147947240448 has 352 divisors, whose sum is σ = 502310873600. Its totient is φ = 42138206208.

The previous prime is 147947240411. The next prime is 147947240461. The reversal of 147947240448 is 844042749741.

147947240448 is a `hidden beast` number, since 1 + 4 + 7 + 94 + 72 + 40 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 147947240394 and 147947240403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73349136 + ... + 73351152.

Almost surely, 2147947240448 is an apocalyptic number.

147947240448 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 147947240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251155436800).

147947240448 is an abundant number, since it is smaller than the sum of its proper divisors (354363633152).

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

147947240448 is a wasteful number, since it uses less digits than its factorization.

147947240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 147947240448 in words is "one hundred forty-seven billion, nine hundred forty-seven million, two hundred forty thousand, four hundred forty-eight".