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40484848404 = 2237311213337
BaseRepresentation
bin100101101101000101…
…011100001100010100
310212111110101101110210
4211231011130030110
51130403110122104
630333134445420
72632152351000
oct455505341424
9125443341423
1040484848404
1116195706900
127a1a363870
133a82661000
141d60b3b700
1510be35a989
hex96d15c314

40484848404 has 576 divisors, whose sum is σ = 134719424000. Its totient is φ = 9444314880.

The previous prime is 40484848363. The next prime is 40484848409.

40484848404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404848484042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40484848409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1094185074 + ... + 1094185110.

Almost surely, 240484848404 is an apocalyptic number.

40484848404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40484848404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359712000).

40484848404 is an abundant number, since it is smaller than the sum of its proper divisors (94234575596).

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

40484848404 is a wasteful number, since it uses less digits than its factorization.

40484848404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

It can be divided in two parts, 40484 and 848404, that added together give a palindrome (888888).

The spelling of 40484848404 in words is "forty billion, four hundred eighty-four million, eight hundred forty-eight thousand, four hundred four".