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4314044440 = 2351761104003
BaseRepresentation
bin1000000010010001…
…10001100000011000
3102010122122011102201
410001020301200120
532313343410230
61552024535544
7211622526016
oct40110614030
912118564381
104314044440
111914190492
12a049215b4
135399c8c24
142ccd418b6
151a3b0a5ca
hex101231818

4314044440 has 64 divisors (see below), whose sum is σ = 10446161760. Its totient is φ = 1597470720.

The previous prime is 4314044431. The next prime is 4314044443. The reversal of 4314044440 is 444404134.

It is a super-2 number, since 2×43140444402 = 37221958860589827200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314044399 and 4314044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314044443) 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, 10522 + ... + 93481.

Almost surely, 24314044440 is an apocalyptic number.

4314044440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314044440 is an abundant number, since it is smaller than the sum of its proper divisors (6132117320).

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

4314044440 is a wasteful number, since it uses less digits than its factorization.

4314044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104092 (or 104088 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4314044440 is about 65681.3857953682. The cubic root of 4314044440 is about 1627.9018055382.

Adding to 4314044440 its reverse (444404134), we get a palindrome (4758448574).

The spelling of 4314044440 in words is "four billion, three hundred fourteen million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 20740 41480 104003 208006 416012 520015 832024 1040030 1768051 2080060 3536102 4160120 6344183 7072204 8840255 12688366 14144408 17680510 25376732 31720915 35361020 50753464 63441830 70722040 107851111 126883660 215702222 253767320 431404444 539255555 862808888 1078511110 2157022220 4314044440