Search a number
-
+
232145161541232 = 2437781362153593
BaseRepresentation
bin110100110010001010000001…
…111000111101011001110000
31010102221212020110020000020120
4310302022001320331121300
5220411431242323304412
62141422003121210240
766616635341164422
oct6462120170753160
91112855213200216
10232145161541232
1167a72234750685
1222053354a90980
139c6c26bc93194
144147c587a0812
151bc8965c7cb8c
hexd32281e3d670

232145161541232 has 40 divisors (see below), whose sum is σ = 599716050675984. Its totient is φ = 77380724811264.

The previous prime is 232145161541219. The next prime is 232145161541269.

232145161541232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2321451615412323 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27341773 + ... + 34811820.

Almost surely, 2232145161541232 is an apocalyptic number.

It is an amenable number.

232145161541232 is an abundant number, since it is smaller than the sum of its proper divisors (367570889134752).

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

232145161541232 is a wasteful number, since it uses less digits than its factorization.

232145161541232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62231417 (or 62231411 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 232145161541232 in words is "two hundred thirty-two trillion, one hundred forty-five billion, one hundred sixty-one million, five hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 77813 155626 233439 311252 466878 622504 933756 1245008 1867512 3735024 62153593 124307186 186460779 248614372 372921558 497228744 745843116 994457488 1491686232 2983372464 4836357532109 9672715064218 14509072596327 19345430128436 29018145192654 38690860256872 58036290385308 77381720513744 116072580770616 232145161541232