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145949083295 = 5312139218521
BaseRepresentation
bin1000011111101100111…
…1100100011010011111
3111221201102221121211112
42013323033210122133
54342400431131140
6151014215212235
713354516511321
oct2077317443237
9457642847745
10145949083295
11569954a8504
122435207707b
13109bc241322
1470c7785611
153be314cc65
hex21fb3e469f

145949083295 has 24 divisors (see below), whose sum is σ = 182273570640. Its totient is φ = 112179427200.

The previous prime is 145949083249. The next prime is 145949083297. The reversal of 145949083295 is 592380949541.

It is not a de Polignac number, because 145949083295 - 210 = 145949082271 is a prime.

It is a super-2 number, since 2×1459490832952 (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 (145949083297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558635 + ... + 777155.

It is an arithmetic number, because the mean of its divisors is an integer number (7594732110).

Almost surely, 2145949083295 is an apocalyptic number.

145949083295 is a deficient number, since it is larger than the sum of its proper divisors (36324487345).

145949083295 is a wasteful number, since it uses less digits than its factorization.

145949083295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218727 (or 218696 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 59.

The spelling of 145949083295 in words is "one hundred forty-five billion, nine hundred forty-nine million, eighty-three thousand, two hundred ninety-five".

Divisors: 1 5 31 139 155 695 961 4309 4805 21545 133579 218521 667895 1092605 6774151 30374419 33870755 151872095 209998681 941606989 1049993405 4708034945 29189816659 145949083295