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332334341240130 = 2355136763103391
BaseRepresentation
bin100101110010000011001111…
…0010110110011010101000010
31121120200212000122111222100000
41023210012132112303111002
5322024431212324141010
63134452142205340430
7130000235533263435
oct11344063626632502
91546625018458300
10332334341240130
119698a225767649
1231334756567716
1311358cbc7ca758
145c0d0d45dd81c
152864ba3acb7c0
hex12e419e5b3542

332334341240130 has 48 divisors (see below), whose sum is σ = 896071853424384. Its totient is φ = 88622490996720.

The previous prime is 332334341240117. The next prime is 332334341240131. The reversal of 332334341240130 is 31042143433233.

332334341240130 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 343 + 41 + 240 + 1 + 30 = 666.

It is a super-2 number, since 2×3323343412401302 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332334341240131) 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 23 ways as a sum of consecutive naturals, for example, 68381549266 + ... + 68381554125.

It is an arithmetic number, because the mean of its divisors is an integer number (18668163613008).

Almost surely, 2332334341240130 is an apocalyptic number.

332334341240130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332334341240130 is an abundant number, since it is smaller than the sum of its proper divisors (563737512184254).

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

332334341240130 is a wasteful number, since it uses less digits than its factorization.

332334341240130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136763103413 (or 136763103401 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 332334341240130 its reverse (31042143433233), we get a palindrome (363376484673363).

The spelling of 332334341240130 in words is "three hundred thirty-two trillion, three hundred thirty-four billion, three hundred forty-one million, two hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 136763103391 273526206782 410289310173 683815516955 820578620346 1230867930519 1367631033910 2051446550865 2461735861038 3692603791557 4102893101730 6154339652595 7385207583114 11077811374671 12308679305190 18463018957785 22155622749342 33233434124013 36926037915570 55389056873355 66466868248026 110778113746710 166167170620065 332334341240130