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42231111113224 = 231110743110406119
BaseRepresentation
bin10011001101000101100100…
…11000000101101000001000
312112112020212202002211221201
421212202302120011220020
521013403303421110344
6225452412110313544
711616045205434565
oct1146426230055010
9175466782084851
1042231111113224
1112502128295980
1248a08097b88b4
131a744b8785227
14a5ddd4c8786c
154d37dc5c64d4
hex2668b2605a08

42231111113224 has 64 divisors (see below), whose sum is σ = 87391428249600. Its totient is φ = 18972434337600.

The previous prime is 42231111113209. The next prime is 42231111113231.

42231111113224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42231111113192 and 42231111113201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144764 + ... + 9261355.

It is an arithmetic number, because the mean of its divisors is an integer number (1365491066400).

Almost surely, 242231111113224 is an apocalyptic number.

42231111113224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42231111113224 is an abundant number, since it is smaller than the sum of its proper divisors (45160317136376).

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

42231111113224 is a wasteful number, since it uses less digits than its factorization.

42231111113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406674 (or 10406670 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 4223111 and 1113224, that added together give a palindrome (5336335).

The spelling of 42231111113224 in words is "forty-two trillion, two hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 107 214 428 431 856 862 1177 1724 2354 3448 4708 4741 9416 9482 18964 37928 46117 92234 184468 368936 507287 1014574 2029148 4058296 10406119 20812238 41624476 83248952 114467309 228934618 457869236 915738472 1113454733 2226909466 4453818932 4485037289 8907637864 8970074578 12248002063 17940149156 24496004126 35880298312 48992008252 49335410179 97984016504 98670820358 197341640716 394683281432 479898989923 959797979846 1919595959692 3839191919384 5278888889153 10557777778306 21115555556612 42231111113224