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148311891000 = 23355371319353
BaseRepresentation
bin1000101000100000010…
…0111101110000111000
3112011211002222200200000
42022020010331300320
54412220321003000
6152044502313000
713500210162450
oct2121004756070
9464732880600
10148311891000
1157998217949
12248b1428760
1310ca79073b0
14726d4c2d60
153cd07c9000
hex228813dc38

148311891000 has 1536 divisors, whose sum is σ = 675411609600. Its totient is φ = 29561241600.

The previous prime is 148311890959. The next prime is 148311891023. The reversal of 148311891000 is 198113841.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 420146824 + ... + 420147176.

It is an arithmetic number, because the mean of its divisors is an integer number (439721100).

Almost surely, 2148311891000 is an apocalyptic number.

148311891000 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 148311891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337705804800).

148311891000 is an abundant number, since it is smaller than the sum of its proper divisors (527099718600).

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

148311891000 is a wasteful number, since it uses less digits than its factorization.

148311891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 148311891000 in words is "one hundred forty-eight billion, three hundred eleven million, eight hundred ninety-one thousand".