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4040130312 = 233416193851
BaseRepresentation
bin1111000011001111…
…0111111100001000
3101102120012212220000
43300303313330020
531233233132222
61504522003000
7202055353401
oct36063677410
911376185800
104040130312
111793603779
12949046460
134c503266a
142a47dc9a8
15189a509ac
hexf0cf7f08

4040130312 has 80 divisors (see below), whose sum is σ = 11326035600. Its totient is φ = 1345528800.

The previous prime is 4040130277. The next prime is 4040130313. The reversal of 4040130312 is 2130310404.

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

It is not an unprimeable number, because it can be changed into a prime (4040130313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047187 + ... + 1051037.

It is an arithmetic number, because the mean of its divisors is an integer number (141575445).

Almost surely, 24040130312 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 4040130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663017800).

4040130312 is an abundant number, since it is smaller than the sum of its proper divisors (7285905288).

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

4040130312 is a wasteful number, since it uses less digits than its factorization.

4040130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4040130312 is about 63562.0194141124. The cubic root of 4040130312 is about 1592.6919723193.

Adding to 4040130312 its reverse (2130310404), we get a palindrome (6170440716).

The spelling of 4040130312 in words is "four billion, forty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1619 3238 3851 4857 6476 7702 9714 11553 12952 14571 15404 19428 23106 29142 30808 34659 38856 43713 46212 58284 69318 87426 92424 103977 116568 131139 138636 174852 207954 262278 277272 311931 349704 415908 524556 623862 831816 1049112 1247724 2495448 6234769 12469538 18704307 24939076 37408614 49878152 56112921 74817228 112225842 149634456 168338763 224451684 336677526 448903368 505016289 673355052 1010032578 1346710104 2020065156 4040130312