Search a number
-
+
4031404000 = 25531377527
BaseRepresentation
bin1111000001001010…
…0101011111100000
3101101221210112122021
43300102211133200
531224014412000
61504010551224
7201621240301
oct36022453740
911357715567
104031404000
111789693548
12946138514
134c3298770
142a35aa7a8
15188dca11a
hexf04a57e0

4031404000 has 96 divisors (see below), whose sum is σ = 10667232576. Its totient is φ = 1488499200.

The previous prime is 4031403989. The next prime is 4031404001. The reversal of 4031404000 is 4041304.

It is a super-2 number, since 2×40314040002 = 32504436422432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031404001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 90763.

It is an arithmetic number, because the mean of its divisors is an integer number (111117006).

Almost surely, 24031404000 is an apocalyptic number.

4031404000 is a gapful number since it is divisible by the number (40) 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 4031404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333616288).

4031404000 is an abundant number, since it is smaller than the sum of its proper divisors (6635828576).

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

4031404000 is a wasteful number, since it uses less digits than its factorization.

4031404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77565 (or 77547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4031404000 is about 63493.3382332351. The cubic root of 4031404000 is about 1591.5444560767.

Adding to 4031404000 its reverse (4041304), we get a palindrome (4035445304).

The spelling of 4031404000 in words is "four billion, thirty-one million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 77527 155054 310108 387635 620216 775270 1007851 1240432 1550540 1938175 2015702 2480864 3101080 3876350 4031404 5039255 6202160 7752700 8062808 9690875 10078510 12404320 15505400 16125616 19381750 20157020 25196275 31010800 32251232 38763500 40314040 50392550 62021600 77527000 80628080 100785100 125981375 155054000 161256160 201570200 251962750 310108000 403140400 503925500 806280800 1007851000 2015702000 4031404000