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145130464440 = 233251343721181
BaseRepresentation
bin1000011100101001110…
…0110010010010111000
3111212121101120110212200
42013022130302102320
54334211344330230
6150401053310200
713325316410403
oct2071234622270
9455541513780
10145130464440
11566053aaaa5
1224163a95360
13108bb76c880
14704ab70d3a
153b96349160
hex21ca7324b8

145130464440 has 192 divisors, whose sum is σ = 519770291040. Its totient is φ = 34893573120.

The previous prime is 145130464433. The next prime is 145130464463. The reversal of 145130464440 is 44464031541.

145130464440 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 0 + 4 + 644 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145130464395 and 145130464404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159351 + ... + 561830.

Almost surely, 2145130464440 is an apocalyptic number.

145130464440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145130464440 is an abundant number, since it is smaller than the sum of its proper divisors (374639826600).

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

145130464440 is a wasteful number, since it uses less digits than its factorization.

145130464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721254 (or 721247 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 145130464440 its reverse (44464031541), we get a palindrome (189594495981).

The spelling of 145130464440 in words is "one hundred forty-five billion, one hundred thirty million, four hundred sixty-four thousand, four hundred forty".