Search a number
-
+
1146552241230 = 2325114326933339
BaseRepresentation
bin10000101011110011110…
…101101100110001001110
311001121110012022122110100
4100223303311230301032
5122241114333204410
62234415133351530
7145556430151314
oct20536365546116
94047405278410
101146552241230
11402282938930
121662620385a6
138417246cc46
143d6c9d580b4
151ec578078c0
hex10af3d6cc4e

1146552241230 has 96 divisors (see below), whose sum is σ = 3327668023680. Its totient is φ = 271488047040.

The previous prime is 1146552241229. The next prime is 1146552241253. The reversal of 1146552241230 is 321422556411.

1146552241230 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 522 + 4 + 123 + 0 = 666.

It is a super-2 number, since 2×11465522412302 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13424100 + ... + 13509239.

It is an arithmetic number, because the mean of its divisors is an integer number (34663208580).

Almost surely, 21146552241230 is an apocalyptic number.

1146552241230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146552241230 is an abundant number, since it is smaller than the sum of its proper divisors (2181115782450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1146552241230 is a wasteful number, since it uses less digits than its factorization.

1146552241230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26933406 (or 26933403 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1146552241230 its reverse (321422556411), we get a palindrome (1467974797641).

The spelling of 1146552241230 in words is "one trillion, one hundred forty-six billion, five hundred fifty-two million, two hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 14190 21285 42570 26933339 53866678 80800017 134666695 161600034 242400051 269333390 296266729 404000085 484800102 592533458 808000170 888800187 1158133577 1212000255 1481333645 1777600374 2316267154 2424000510 2666400561 2962667290 3474400731 4444000935 5332801122 5790667885 6948801462 8888001870 10423202193 11581335770 12739469347 13332002805 17372003655 20846404386 25478938694 26664005610 34744007310 38218408041 52116010965 63697346735 76436816082 104232021930 114655224123 127394693470 191092040205 229310448246 382184080410 573276120615 1146552241230