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148830732288 = 21434737433
BaseRepresentation
bin1000101010011100000…
…0001100000000000000
3112020011021021120010000
42022213000030000000
54414301131413123
6152212155040000
713516110231330
oct2124700140000
9466137246100
10148830732288
1158134082aa7
1224a17140000
131105b258384
1472bc3810c0
153d11114b43
hex22a700c000

148830732288 has 600 divisors, whose sum is σ = 523100776352. Its totient is φ = 41278242816.

The previous prime is 148830732283. The next prime is 148830732319. The reversal of 148830732288 is 882237038841.

148830732288 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 307 + 322 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148830732283) 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, 343719720 + ... + 343720152.

Almost surely, 2148830732288 is an apocalyptic number.

148830732288 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 148830732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261550388176).

148830732288 is an abundant number, since it is smaller than the sum of its proper divisors (374270044064).

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

148830732288 is an frugal number, since it uses more digits than its factorization.

148830732288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 148830732288 in words is "one hundred forty-eight billion, eight hundred thirty million, seven hundred thirty-two thousand, two hundred eighty-eight".