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145460250360 = 23345432334481
BaseRepresentation
bin1000011101111000011…
…0110100011011111000
3111220110101010100010000
42013132012310123320
54340400311002420
6150453513553000
713336432504365
oct2073606643370
9456411110100
10145460250360
1156764579047
1224236415760
1310941b99079
14707c89946c
153bb528d690
hex21de1b46f8

145460250360 has 320 divisors, whose sum is σ = 502537258080. Its totient is φ = 37716295680.

The previous prime is 145460250343. The next prime is 145460250361. The reversal of 145460250360 is 63052064541.

145460250360 is a `hidden beast` number, since 1 + 4 + 5 + 46 + 0 + 250 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145460250361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32459320 + ... + 32463800.

Almost surely, 2145460250360 is an apocalyptic number.

145460250360 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 145460250360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251268629040).

145460250360 is an abundant number, since it is smaller than the sum of its proper divisors (357077007720).

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

145460250360 is a wasteful number, since it uses less digits than its factorization.

145460250360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 145460250360 in words is "one hundred forty-five billion, four hundred sixty million, two hundred fifty thousand, three hundred sixty".