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148323018240 = 2933523791181
BaseRepresentation
bin1000101000100010111…
…1011010011000000000
3112011211212221000101000
42022020233122120000
54412231143040430
6152045541012000
713500403565415
oct2121057323000
9464755830330
10148323018240
11579a3527a11
12248b50b4000
1310caa002067
147270b7c10c
153cd1775e60
hex2288bda600

148323018240 has 640 divisors, whose sum is σ = 557192908800. Its totient is φ = 37322588160.

The previous prime is 148323018167. The next prime is 148323018241. The reversal of 148323018240 is 42810323841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148323018195 and 148323018204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148323018241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125590450 + ... + 125591630.

It is an arithmetic number, because the mean of its divisors is an integer number (870613920).

Almost surely, 2148323018240 is an apocalyptic number.

148323018240 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 148323018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278596454400).

148323018240 is an abundant number, since it is smaller than the sum of its proper divisors (408869890560).

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

148323018240 is a wasteful number, since it uses less digits than its factorization.

148323018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 148323018240 in words is "one hundred forty-eight billion, three hundred twenty-three million, eighteen thousand, two hundred forty".