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4131440120 = 235325331751
BaseRepresentation
bin1111011001000000…
…1100010111111000
3101122221000220101202
43312100030113320
531430122040440
61521543033332
7204244442633
oct36620142770
911587026352
104131440120
1118300aa125
1297373b848
1350ac22832
142b29aac1a
15192a8a615
hexf640c5f8

4131440120 has 32 divisors (see below), whose sum is σ = 9298890720. Its totient is φ = 1652016000.

The previous prime is 4131440111. The next prime is 4131440143. The reversal of 4131440120 is 210441314.

4131440120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41314401202 = 34137594930291228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4131440092 and 4131440101.

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, 114245 + ... + 145995.

It is an arithmetic number, because the mean of its divisors is an integer number (290590335).

Almost surely, 24131440120 is an apocalyptic number.

4131440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131440120 is an abundant number, since it is smaller than the sum of its proper divisors (5167450600).

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

4131440120 is a wasteful number, since it uses less digits than its factorization.

4131440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35015 (or 35011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4131440120 is about 64276.2796060880. The cubic root of 4131440120 is about 1604.6013534895.

Adding to 4131440120 its reverse (210441314), we get a palindrome (4341881434).

The spelling of 4131440120 in words is "four billion, one hundred thirty-one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3253 6506 13012 16265 26024 31751 32530 63502 65060 127004 130120 158755 254008 317510 635020 1270040 103286003 206572006 413144012 516430015 826288024 1032860030 2065720060 4131440120