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148351357440 = 2934511135003
BaseRepresentation
bin1000101000101001101…
…1100001001000000000
3112011220212020210110000
42022022123201020000
54412310421414230
6152052432240000
713501166506116
oct2121233411000
9464825223400
10148351357440
1157a08523640
12249026a0000
1310cb2b45110
147274837ab6
153cd3ec2b60
hex228a6e1200

148351357440 has 800 divisors, whose sum is σ = 624365413056. Its totient is φ = 33190871040.

The previous prime is 148351357417. The next prime is 148351357447. The reversal of 148351357440 is 44753153841.

148351357440 is a `hidden beast` number, since 1 + 4 + 8 + 35 + 1 + 3 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (148351357447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29649979 + ... + 29654981.

Almost surely, 2148351357440 is an apocalyptic number.

148351357440 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 148351357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312182706528).

148351357440 is an abundant number, since it is smaller than the sum of its proper divisors (476014055616).

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

148351357440 is a wasteful number, since it uses less digits than its factorization.

148351357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 148351357440 in words is "one hundred forty-eight billion, three hundred fifty-one million, three hundred fifty-seven thousand, four hundred forty".