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400224422004 = 223118336530159
BaseRepresentation
bin1011101001011110011…
…11000000100001110100
31102021001022212012002220
411310233033000201310
523024124423001004
6503505514202340
740625635312401
oct5645717004164
91367038765086
10400224422004
11144809285a30
12656964233b0
132b982c96724
1415529d012a8
15a626478dd9
hex5d2f3c0874

400224422004 has 48 divisors (see below), whose sum is σ = 1031027235840. Its totient is φ = 119818918240.

The previous prime is 400224421999. The next prime is 400224422033.

400224422004 is nontrivially palindromic in base 10.

400224422004 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18254124 + ... + 18276035.

It is an arithmetic number, because the mean of its divisors is an integer number (21479734080).

Almost surely, 2400224422004 is an apocalyptic number.

400224422004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400224422004 is an abundant number, since it is smaller than the sum of its proper divisors (630802813836).

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

400224422004 is a wasteful number, since it uses less digits than its factorization.

400224422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530260 (or 36530258 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 400224 and 422004, that added together give a palindrome (822228).

The spelling of 400224422004 in words is "four hundred billion, two hundred twenty-four million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 5478 10956 36530159 73060318 109590477 146120636 219180954 401831749 438361908 803663498 1205495247 1607326996 2410990494 3032003197 4821980988 6064006394 9096009591 12128012788 18192019182 33352035167 36384038364 66704070334 100056105501 133408140668 200112211002 400224422004