Search a number
-
+
145232302022415 = 32531144771948291
BaseRepresentation
bin100001000001011010000111…
…110001011001111100001111
3201001020001221211121002222100
4201001122013301121330033
5123013441223304204130
61232514444250050143
742406454555460546
oct4101320761317417
9631201854532870
10145232302022415
11423037453254a3
1214356bb0119953
13630646908b75a
1427c13d0bd715d
1511bcc5ae2bc60
hex841687c59f0f

145232302022415 has 48 divisors (see below), whose sum is σ = 260036092532736. Its totient is φ = 74906803684800.

The previous prime is 145232302022411. The next prime is 145232302022471. The reversal of 145232302022415 is 514220203232541.

145232302022415 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 3 + 2 + 30 + 202 + 2 + 415 = 666.

It is not a de Polignac number, because 145232302022415 - 22 = 145232302022411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145232302022415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145232302022411) 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 47 ways as a sum of consecutive naturals, for example, 33955581 + ... + 37992710.

It is an arithmetic number, because the mean of its divisors is an integer number (5417418594432).

Almost surely, 2145232302022415 is an apocalyptic number.

145232302022415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145232302022415 is a deficient number, since it is larger than the sum of its proper divisors (114803790510321).

145232302022415 is a wasteful number, since it uses less digits than its factorization.

145232302022415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71949780 (or 71949777 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 145232302022415 its reverse (514220203232541), we get a palindrome (659452505254956).

The spelling of 145232302022415 in words is "one hundred forty-five trillion, two hundred thirty-two billion, three hundred two million, twenty-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 1447 4341 7235 13023 21705 44857 65115 134571 224285 403713 672855 2018565 71948291 215844873 359741455 647534619 1079224365 2230397021 3237673095 6691191063 11151985105 20073573189 33455955315 100367865945 104109177077 312327531231 520545885385 936982593693 1561637656155 3227384489387 4684912968465 9682153468161 16136922446935 29046460404483 48410767340805 145232302022415