Search a number
-
+
145538654112 = 2532975209717
BaseRepresentation
bin1000011110001011000…
…1111001111110100000
3111220122211122122211200
42013202301321332200
54341030343412422
6150505354241200
713341404101635
oct2074261717640
9456584578750
10145538654112
11567a4859a35
1224258726200
13109551baa17
14708906818c
153bbc0c92ac
hex21e2c79fa0

145538654112 has 72 divisors (see below), whose sum is σ = 418142386116. Its totient is φ = 48012742656.

The previous prime is 145538654099. The next prime is 145538654113. The reversal of 145538654112 is 211456835541.

145538654112 is a `hidden beast` number, since 1 + 4 + 5 + 538 + 65 + 41 + 12 = 666.

145538654112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131829991056 + 13708663056 = 363084^2 + 117084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145538654113) 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 11 ways as a sum of consecutive naturals, for example, 2576923 + ... + 2632794.

Almost surely, 2145538654112 is an apocalyptic number.

145538654112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145538654112 is an abundant number, since it is smaller than the sum of its proper divisors (272603732004).

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

145538654112 is a wasteful number, since it uses less digits than its factorization.

145538654112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209830 (or 5209819 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 145538654112 in words is "one hundred forty-five billion, five hundred thirty-eight million, six hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 5209717 10419434 15629151 20838868 31258302 41677736 46887453 62516604 83355472 93774906 125033208 166710944 187549812 250066416 375099624 500132832 505342549 750199248 1010685098 1500398496 1516027647 2021370196 3032055294 4042740392 4548082941 6064110588 8085480784 9096165882 12128221176 16170961568 18192331764 24256442352 36384663528 48512884704 72769327056 145538654112