Search a number
-
+
404112143440 = 24511934234201
BaseRepresentation
bin1011110000101101111…
…01011111010001010000
31102122002021021220022201
411320112331133101100
523110110202042230
6505351353412544
741124163354255
oct5702675372120
91378067256281
10404112143440
11146423851655
12663a040a154
132c152565905
14157b838942c
15a7a29215ca
hex5e16f5f450

404112143440 has 40 divisors (see below), whose sum is σ = 940348516968. Its totient is φ = 161509324800.

The previous prime is 404112143423. The next prime is 404112143447. The reversal of 404112143440 is 44341211404.

It can be written as a sum of positive squares in 4 ways, for example, as 59768514576 + 344343628864 = 244476^2 + 586808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4041121434402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404112143399 and 404112143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404112143447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2021661 + ... + 2212540.

Almost surely, 2404112143440 is an apocalyptic number.

404112143440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404112143440 is an abundant number, since it is smaller than the sum of its proper divisors (536236373528).

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

404112143440 is a wasteful number, since it uses less digits than its factorization.

404112143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235407 (or 4235401 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 404112143440 its reverse (44341211404), we get a palindrome (448453354844).

The spelling of 404112143440 in words is "four hundred four billion, one hundred twelve million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1193 2386 4772 5965 9544 11930 19088 23860 47720 95440 4234201 8468402 16936804 21171005 33873608 42342010 67747216 84684020 169368040 338736080 5051401793 10102803586 20205607172 25257008965 40411214344 50514017930 80822428688 101028035860 202056071720 404112143440