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145193816742 = 231310118430289
BaseRepresentation
bin1000011100111000111…
…0011101001010100110
3111212202210210002220020
42013032032131022212
54334324104113432
6150411235220010
713330016036112
oct2071616351246
9455683702806
10145193816742
1156638140577
1224181147606
13108cb921640
147055342742
153b9bbb022c
hex21ce39d2a6

145193816742 has 32 divisors (see below), whose sum is σ = 315821449440. Its totient is φ = 44232691200.

The previous prime is 145193816707. The next prime is 145193816749. The reversal of 145193816742 is 247618391541.

145193816742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145193816749) 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 15 ways as a sum of consecutive naturals, for example, 9207267 + ... + 9223022.

It is an arithmetic number, because the mean of its divisors is an integer number (9869420295).

Almost surely, 2145193816742 is an apocalyptic number.

145193816742 is an abundant number, since it is smaller than the sum of its proper divisors (170627632698).

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

145193816742 is a wasteful number, since it uses less digits than its factorization.

145193816742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18430408.

The product of its digits is 1451520, while the sum is 51.

The spelling of 145193816742 in words is "one hundred forty-five billion, one hundred ninety-three million, eight hundred sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 2626 3939 7878 18430289 36860578 55290867 110581734 239593757 479187514 718781271 1437562542 1861459189 3722918378 5584377567 11168755134 24198969457 48397938914 72596908371 145193816742