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145080912480 = 25357237325717
BaseRepresentation
bin1000011100011101111…
…1110000101001100000
3111212110221022222100220
42013013133300221200
54334111203144410
6150352123243040
713324145260140
oct2070737605140
9455427288326
10145080912480
115658a435969
122414b379480
13108b141039a
147044352920
153b91d0c070
hex21c77f0a60

145080912480 has 384 divisors, whose sum is σ = 552486832128. Its totient is φ = 31283822592.

The previous prime is 145080912467. The next prime is 145080912497. The reversal of 145080912480 is 84219080541.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5628582 + ... + 5654298.

It is an arithmetic number, because the mean of its divisors is an integer number (1438767792).

Almost surely, 2145080912480 is an apocalyptic number.

145080912480 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 145080912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276243416064).

145080912480 is an abundant number, since it is smaller than the sum of its proper divisors (407405919648).

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

145080912480 is a wasteful number, since it uses less digits than its factorization.

145080912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25838 (or 25830 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 145080912480 in words is "one hundred forty-five billion, eighty million, nine hundred twelve thousand, four hundred eighty".