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4232136312324 = 2232319074181077
BaseRepresentation
bin111101100101011110111…
…110110100011000000100
3112222120212212010012101100
4331211132332310120010
51023314403343443244
613000114440500100
7614522166051564
oct75453676643004
915876785105340
104232136312324
111391925686978
12584271a7a630
1324911cc72a1b
14108b9d488da4
157514a894b69
hex3d95efb4604

4232136312324 has 72 divisors (see below), whose sum is σ = 11055171615488. Its totient is φ = 1363699748160.

The previous prime is 4232136312323. The next prime is 4232136312337.

4232136312324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 13 + 6 + 312 + 324 = 666.

4232136312324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4232136312323) 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, 1078327 + ... + 3102750.

Almost surely, 24232136312324 is an apocalyptic number.

It is an amenable number.

4232136312324 is an abundant number, since it is smaller than the sum of its proper divisors (6823035303164).

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

4232136312324 is a wasteful number, since it uses less digits than its factorization.

4232136312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182025 (or 4182020 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 4232136312324 in words is "four trillion, two hundred thirty-two billion, one hundred thirty-six million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 907 1116 1814 2721 3628 5442 8163 10884 16326 28117 32652 56234 84351 112468 168702 253053 337404 506106 1012212 4181077 8362154 12543231 16724308 25086462 37629693 50172924 75259386 129613387 150518772 259226774 388840161 518453548 777680322 1166520483 1555360644 2333040966 3792236839 4666081932 7584473678 11376710517 15168947356 22753421034 34130131551 45506842068 68260263102 117559342009 136520526204 235118684018 352678026027 470237368036 705356052054 1058034078081 1410712104108 2116068156162 4232136312324