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4012234020 = 2233519937337
BaseRepresentation
bin1110111100100101…
…1101010100100100
3101100121201121101000
43233021131110210
531204112442040
61502044033300
7201266266164
oct35711352444
911317647330
104012234020
11177988a893
1293b832830
134bc316092
142a0c1a5a4
15187390130
hexef25d524

4012234020 has 96 divisors (see below), whose sum is σ = 12545568000. Its totient is φ = 1064524032.

The previous prime is 4012234019. The next prime is 4012234033. The reversal of 4012234020 is 204322104.

4012234020 is a `hidden beast` number, since 40 + 1 + 223 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4012233984 and 4012234002.

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 31 ways as a sum of consecutive naturals, for example, 88792 + ... + 126128.

It is an arithmetic number, because the mean of its divisors is an integer number (130683000).

Almost surely, 24012234020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272784000).

4012234020 is an abundant number, since it is smaller than the sum of its proper divisors (8533333980).

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

4012234020 is a wasteful number, since it uses less digits than its factorization.

4012234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37554 (or 37546 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4012234020 is about 63342.1977831524. The cubic root of 4012234020 is about 1589.0177628654.

Adding to 4012234020 its reverse (204322104), we get a palindrome (4216556124).

The spelling of 4012234020 in words is "four billion, twelve million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 398 540 597 796 995 1194 1791 1990 2388 2985 3582 3980 5373 5970 7164 8955 10746 11940 17910 21492 26865 35820 37337 53730 74674 107460 112011 149348 186685 224022 336033 373370 448044 560055 672066 746740 1008099 1120110 1344132 1680165 2016198 2240220 3360330 4032396 5040495 6720660 7430063 10080990 14860126 20161980 22290189 29720252 37150315 44580378 66870567 74300630 89160756 111450945 133741134 148601260 200611701 222901890 267482268 334352835 401223402 445803780 668705670 802446804 1003058505 1337411340 2006117010 4012234020