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4040044424 = 2313174748619
BaseRepresentation
bin1111000011001110…
…0010111110001000
3101102120001112001222
43300303202332020
531233222410144
61504520101212
7202054545113
oct36063427610
911376045058
104040044424
111793555199
12949004808
134c5002540
142a47b957a
15189a352ee
hexf0ce2f88

4040044424 has 64 divisors (see below), whose sum is σ = 8821612800. Its totient is φ = 1717576704.

The previous prime is 4040044391. The next prime is 4040044447. The reversal of 4040044424 is 4244400404.

It is a happy number.

4040044424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4040044393 and 4040044402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58787 + ... + 107405.

It is an arithmetic number, because the mean of its divisors is an integer number (137837700).

Almost surely, 24040044424 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 4040044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410806400).

4040044424 is an abundant number, since it is smaller than the sum of its proper divisors (4781568376).

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

4040044424 is a wasteful number, since it uses less digits than its factorization.

4040044424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48702 (or 48698 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4040044424 is about 63561.3437869276. The cubic root of 4040044424 is about 1592.6806860417.

Adding to 4040044424 its reverse (4244400404), we get a palindrome (8284444828).

The spelling of 4040044424 in words is "four billion, forty million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 47 52 68 94 104 136 188 221 376 442 611 799 884 1222 1598 1768 2444 3196 4888 6392 10387 20774 41548 48619 83096 97238 194476 388952 632047 826523 1264094 1653046 2285093 2528188 3306092 4570186 5056376 6612184 9140372 10744799 18280744 21489598 29706209 38846581 42979196 59412418 77693162 85958392 118824836 155386324 237649672 310772648 505005553 1010011106 2020022212 4040044424