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148129040304 = 2435715734667
BaseRepresentation
bin1000100111110100101…
…1011100011110110000
3112011100100220220200000
42021331023130132300
54411332013242204
6152014411230000
713462530032160
oct2117513343660
9464310826600
10148129040304
1157903a88473
1224860148300
1310c78a75b0b
1472530c65a0
153cbe70b039
hex227d2dc7b0

148129040304 has 240 divisors, whose sum is σ = 494468851968. Its totient is φ = 42051799296.

The previous prime is 148129040299. The next prime is 148129040383. The reversal of 148129040304 is 403040921841.

It is a happy number.

It is a super-3 number, since 3×1481290403043 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4255579 + ... + 4290245.

Almost surely, 2148129040304 is an apocalyptic number.

148129040304 is a gapful number since it is divisible by the number (14) 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 148129040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247234425984).

148129040304 is an abundant number, since it is smaller than the sum of its proper divisors (346339811664).

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

148129040304 is a wasteful number, since it uses less digits than its factorization.

148129040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34854 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 148129040304 in words is "one hundred forty-eight billion, one hundred twenty-nine million, forty thousand, three hundred four".