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4314331120 = 245114902649
BaseRepresentation
bin1000000010010011…
…10111011111110000
3102010200011201200111
410001021313133300
532313432043440
61552035031104
7211625131561
oct40111673760
912120151614
104314331120
111914366910
12a04a3b494
13539a99568
142ccdb8168
151a3b654ea
hex1012777f0

4314331120 has 40 divisors (see below), whose sum is σ = 10942714800. Its totient is φ = 1568847360.

The previous prime is 4314331081. The next prime is 4314331139. The reversal of 4314331120 is 211334134.

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

It is a super-2 number, since 2×43143311202 = 37226906026000908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4314331091 and 4314331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2450445 + ... + 2452204.

It is an arithmetic number, because the mean of its divisors is an integer number (273567870).

Almost surely, 24314331120 is an apocalyptic number.

4314331120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314331120 is an abundant number, since it is smaller than the sum of its proper divisors (6628383680).

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

4314331120 is a wasteful number, since it uses less digits than its factorization.

4314331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902673 (or 4902667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4314331120 is about 65683.5681125805. The cubic root of 4314331120 is about 1627.9378642420.

Adding to 4314331120 its reverse (211334134), we get a palindrome (4525665254).

The spelling of 4314331120 in words is "four billion, three hundred fourteen million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4902649 9805298 19610596 24513245 39221192 49026490 53929139 78442384 98052980 107858278 196105960 215716556 269645695 392211920 431433112 539291390 862866224 1078582780 2157165560 4314331120