Search a number
-
+
34235555553243 = 3311739155982721
BaseRepresentation
bin1111100100011000101100…
…01000001001111111011011
311111012212221201201101122000
413302030112020021333123
513441403404210200433
6200451332550132043
710132302660513402
oct762142610117733
9144185851641560
1034235555553243
11a9aa243655270
123a0b0b6351023
1316145258b3845
1486501c9b0639
153e582a927113
hex1f2316209fdb

34235555553243 has 32 divisors (see below), whose sum is σ = 55405062854400. Its totient is φ = 20720744524800.

The previous prime is 34235555553217. The next prime is 34235555553253.

It is a happy number.

34235555553243 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 5 + 55 + 55 + 532 + 4 + 3 = 666.

34235555553243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34235555553243 - 212 = 34235555549147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34235555553243.

It is not an unprimeable number, because it can be changed into a prime (34235555553253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77771878 + ... + 78210843.

It is an arithmetic number, because the mean of its divisors is an integer number (1731408214200).

Almost surely, 234235555553243 is an apocalyptic number.

34235555553243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34235555553243 is a deficient number, since it is larger than the sum of its proper divisors (21169507301157).

34235555553243 is a wasteful number, since it uses less digits than its factorization.

34235555553243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155983480 (or 155983474 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

It can be divided in two parts, 3423555 and 5553243, that added together give a palindrome (8976798).

The spelling of 34235555553243 in words is "thirty-four trillion, two hundred thirty-five billion, five hundred fifty-five million, five hundred fifty-three thousand, two hundred forty-three".

Divisors: 1 3 9 11 27 33 99 297 739 2217 6651 8129 19953 24387 73161 219483 155982721 467948163 1403844489 1715809931 4211533467 5147429793 15442289379 46326868137 115271230819 345813692457 1037441077371 1267983539009 3112323232113 3803950617027 11411851851081 34235555553243