Search a number
-
+
145222141322511 = 321123564111306123
BaseRepresentation
bin100001000001010000101010…
…001001011010010100001111
3201001012002201201110002000200
4201001100222021122110033
5123013304421134310021
61232510044123024543
742405645020113011
oct4101205211322417
9631162651402020
10145222141322511
11422aa400930250
121435503536b153
136305509cc70a6
1427c0b095a21b1
1511bc863dc9126
hex84142a25a50f

145222141322511 has 48 divisors (see below), whose sum is σ = 238826583620352. Its totient is φ = 84171817065600.

The previous prime is 145222141322459. The next prime is 145222141322527. The reversal of 145222141322511 is 115223141222541.

145222141322511 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 2 + 1 + 4 + 132 + 2 + 511 = 666.

It is not a de Polignac number, because 145222141322511 - 210 = 145222141321487 is a prime.

It is a super-2 number, since 2×1452221413225112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145222141322591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7191496 + ... + 18497618.

It is an arithmetic number, because the mean of its divisors is an integer number (4975553825424).

Almost surely, 2145222141322511 is an apocalyptic number.

145222141322511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145222141322511 is a deficient number, since it is larger than the sum of its proper divisors (93604442297841).

145222141322511 is a wasteful number, since it uses less digits than its factorization.

145222141322511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311804 (or 11311801 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 145222141322511 in words is "one hundred forty-five trillion, two hundred twenty-two billion, one hundred forty-one million, three hundred twenty-two thousand, five hundred eleven".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 5641 16923 50769 62051 129743 186153 389229 558459 1167687 1427173 4281519 11306123 12844557 33918369 101755107 124367353 260040829 373102059 780122487 1119306177 2340367461 2860449119 8581347357 25744042071 63777839843 191333519529 574000558587 701556238273 1466890316389 2104668714819 4400670949167 6314006144457 13202012847501 16135793480279 48407380440837 145222141322511