Search a number
-
+
145051523631 = 347307833299
BaseRepresentation
bin1000011100010110111…
…1101001101000101111
3111212101220000212110000
42013011233221220233
54334031142224011
6150345153315343
713323340415310
oct2070557515057
9455356025400
10145051523631
1156574892663
1224141565b53
13108a82c0631
1470404a2607
153b8e454356
hex21c5be9a2f

145051523631 has 40 divisors (see below), whose sum is σ = 248443395200. Its totient is φ = 82616496912.

The previous prime is 145051523627. The next prime is 145051523647. The reversal of 145051523631 is 136325150541.

145051523631 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 5 + 15 + 2 + 3 + 631 = 666.

It is not a de Polignac number, because 145051523631 - 22 = 145051523627 is a prime.

It is a super-2 number, since 2×1450515236312 (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 (145051523531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242581 + ... + 590718.

It is an arithmetic number, because the mean of its divisors is an integer number (6211084880).

Almost surely, 2145051523631 is an apocalyptic number.

145051523631 is a deficient number, since it is larger than the sum of its proper divisors (103391871569).

145051523631 is an equidigital number, since it uses as much as digits as its factorization.

145051523631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833625 (or 833616 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145051523631 in words is "one hundred forty-five billion, fifty-one million, five hundred twenty-three thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 307 567 921 2149 2763 6447 8289 19341 24867 58023 174069 833299 2499897 5833093 7499691 17499279 22499073 52497837 67497219 157493511 255822793 472480533 767468379 1790759551 2302405137 5372278653 6907215411 16116835959 20721646233 48350507877 145051523631