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145474464240 = 2434577343933
BaseRepresentation
bin1000011101111011110…
…1000010100111110000
3111220111100212110220000
42013132331002213300
54340412430323430
6150455142350000
713336664354310
oct2073675024760
9456440773800
10145474464240
11567715a7156
122423b12b300
1310944b04951
147080719440
153bb6649e60
hex21def429f0

145474464240 has 400 divisors, whose sum is σ = 585356933568. Its totient is φ = 32795062272.

The previous prime is 145474464227. The next prime is 145474464241. The reversal of 145474464240 is 42464474541.

145474464240 is a `hidden beast` number, since 1 + 4 + 547 + 4 + 4 + 64 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145474464241) 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, 3289314 + ... + 3333246.

Almost surely, 2145474464240 is an apocalyptic number.

145474464240 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 145474464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292678466784).

145474464240 is an abundant number, since it is smaller than the sum of its proper divisors (439882469328).

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

145474464240 is a wasteful number, since it uses less digits than its factorization.

145474464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44038 (or 44023 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 145474464240 in words is "one hundred forty-five billion, four hundred seventy-four million, four hundred sixty-four thousand, two hundred forty".