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1429312500 = 2233567112
BaseRepresentation
bin101010100110001…
…1001001111110100
310200121111121011000
41111030121033310
510411401000000
6353455043300
750263645560
oct12514311764
93617447130
101429312500
1167389a700
1233a810530
1319a172855
14d7b826a0
1585735000
hex553193f4

1429312500 has 504 divisors, whose sum is σ = 5818675520. Its totient is φ = 297000000.

The previous prime is 1429312459. The next prime is 1429312513. The reversal of 1429312500 is 52139241.

1429312500 is a `hidden beast` number, since 142 + 9 + 3 + 12 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 129937495 + ... + 129937505.

Almost surely, 21429312500 is an apocalyptic number.

1429312500 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 1429312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909337760).

1429312500 is an abundant number, since it is smaller than the sum of its proper divisors (4389363020).

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

1429312500 is an equidigital number, since it uses as much as digits as its factorization.

1429312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1429312500 is about 37806.2494833857. The cubic root of 1429312500 is about 1126.4425938076.

The spelling of 1429312500 in words is "one billion, four hundred twenty-nine million, three hundred twelve thousand, five hundred".