Search a number
-
+
302145474000 = 24353531317253
BaseRepresentation
bin1000110010110010100…
…01100000110111010000
31001212220001000101210010
410121121101200313100
514422243220132000
6350445334034520
730554306103516
oct4313121406720
91055801011703
10302145474000
11107159274707
124a683aa8a40
132265247ba56
14108a40684b6
157cd5c09d50
hex4659460dd0

302145474000 has 320 divisors, whose sum is σ = 1000210768128. Its totient is φ = 78437632000.

The previous prime is 302145473999. The next prime is 302145474013. The reversal of 302145474000 is 474541203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41654374 + ... + 41661626.

Almost surely, 2302145474000 is an apocalyptic number.

302145474000 is a gapful number since it is divisible by the number (30) 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 302145474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500105384064).

302145474000 is an abundant number, since it is smaller than the sum of its proper divisors (698065294128).

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

302145474000 is a wasteful number, since it uses less digits than its factorization.

302145474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 302145474000 in words is "three hundred two billion, one hundred forty-five million, four hundred seventy-four thousand".