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145345151511 = 3276073379889
BaseRepresentation
bin1000011101011100111…
…1110000001000010111
3111220011100112201011200
42013113033300020113
54340131324322021
6150434243003543
713333534255260
oct2072717601027
9456140481150
10145345151511
115670560462a
12242039695b3
1310924099c41
14706b497967
153baa105126
hex21d73f0217

145345151511 has 24 divisors (see below), whose sum is σ = 239974993440. Its totient is φ = 83040477696.

The previous prime is 145345151507. The next prime is 145345151569. The reversal of 145345151511 is 115151543541.

145345151511 is a `hidden beast` number, since 1 + 4 + 53 + 45 + 1 + 51 + 511 = 666.

145345151511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145345151511 - 22 = 145345151507 is a prime.

It is a super-2 number, since 2×1453451515112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145345151411) 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 23 ways as a sum of consecutive naturals, for example, 192655 + ... + 572543.

It is an arithmetic number, because the mean of its divisors is an integer number (9998958060).

Almost surely, 2145345151511 is an apocalyptic number.

145345151511 is a deficient number, since it is larger than the sum of its proper divisors (94629841929).

145345151511 is a wasteful number, since it uses less digits than its factorization.

145345151511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385975 (or 385972 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The spelling of 145345151511 in words is "one hundred forty-five billion, three hundred forty-five million, one hundred fifty-one thousand, five hundred eleven".

Divisors: 1 3 7 9 21 63 6073 18219 42511 54657 127533 379889 382599 1139667 2659223 3419001 7977669 23933007 2307065897 6921197691 16149461279 20763593073 48448383837 145345151511