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145466073000 = 23325341479823
BaseRepresentation
bin1000011101111001110…
…1000001111110101000
3111220110210002011021100
42013132131001332220
54340403303314000
6150454242441400
713336533135123
oct2073635017650
9456423064240
10145466073000
1156767895746
1224238363260
1310943157411
14707d5733ba
153bb5a3da00
hex21de741fa8

145466073000 has 384 divisors, whose sum is σ = 505332172800. Its totient is φ = 37719936000.

The previous prime is 145466072993. The next prime is 145466073031. The reversal of 145466073000 is 370664541.

It is a happy number.

145466073000 is a `hidden beast` number, since 1 + 4 + 5 + 46 + 607 + 3 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 176750589 + ... + 176751411.

It is an arithmetic number, because the mean of its divisors is an integer number (1315969200).

Almost surely, 2145466073000 is an apocalyptic number.

145466073000 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 145466073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252666086400).

145466073000 is an abundant number, since it is smaller than the sum of its proper divisors (359866099800).

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

145466073000 is a wasteful number, since it uses less digits than its factorization.

145466073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 145466073000 in words is "one hundred forty-five billion, four hundred sixty-six million, seventy-three thousand".