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147249133040 = 2451840614163
BaseRepresentation
bin1000100100100010111…
…0110111010111110000
3112002002001012222211002
42021020232313113300
54403031234224130
6151351215541132
713431653656652
oct2111056672760
9462061188732
10147249133040
11574a232a089
122465552a7a8
1310b68695b29
1471ac2ba6d2
153c6c34cb45
hex2248bb75f0

147249133040 has 20 divisors (see below), whose sum is σ = 342354234504. Its totient is φ = 58899653184.

The previous prime is 147249133039. The next prime is 147249133043. The reversal of 147249133040 is 40331942741.

147249133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 147249132985 and 147249133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147249133043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 920307002 + ... + 920307161.

Almost surely, 2147249133040 is an apocalyptic number.

147249133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147249133040 is an abundant number, since it is smaller than the sum of its proper divisors (195105101464).

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

147249133040 is a wasteful number, since it uses less digits than its factorization.

147249133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840614176 (or 1840614170 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 147249133040 in words is "one hundred forty-seven billion, two hundred forty-nine million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1840614163 3681228326 7362456652 9203070815 14724913304 18406141630 29449826608 36812283260 73624566520 147249133040