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145311152809 = 192200632
BaseRepresentation
bin1000011101010100111…
…0000011101010101001
3111220001222120101201111
42013111032003222221
54340044123342214
6150431030150321
713332642263554
oct2072516035251
9456058511644
10145311152809
11566983a2929
12241b44b23a1
131091a024b74
147066b6769b
153ba713b5c4
hex21d5383aa9

145311152809 has 9 divisors (see below), whose sum is σ = 153369276573. Its totient is φ = 137656335852.

The previous prime is 145311152743. The next prime is 145311152821. The reversal of 145311152809 is 908251113541.

The square root of 145311152809 is 381197.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 145311152809 - 213 = 145311144617 is a prime.

It is a super-3 number, since 3×1453111528093 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145311152839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7232712 + ... + 7252774.

Almost surely, 2145311152809 is an apocalyptic number.

145311152809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

145311152809 is the 381197-th square number.

145311152809 is the 190599-th centered octagonal number.

It is an amenable number.

145311152809 is a deficient number, since it is larger than the sum of its proper divisors (8058123764).

145311152809 is an frugal number, since it uses more digits than its factorization.

145311152809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40164 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 145311152809 in words is "one hundred forty-five billion, three hundred eleven million, one hundred fifty-two thousand, eight hundred nine".

Divisors: 1 19 361 20063 381197 7242743 402523969 7647955411 145311152809