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4140200304 = 24344374293
BaseRepresentation
bin1111011011000110…
…0111000101110000
3101200112111222010000
43312301213011300
531434342402204
61522454510000
7204412056552
oct36661470560
911615458100
104140200304
111835042849
12976665300
1350c99bc86
142b3c0b4d2
1519371b039
hexf6c67170

4140200304 has 100 divisors (see below), whose sum is σ = 12261778936. Its totient is φ = 1347954048.

The previous prime is 4140200303. The next prime is 4140200387. The reversal of 4140200304 is 4030020414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140200303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18582 + ... + 92874.

Almost surely, 24140200304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130889468).

4140200304 is an abundant number, since it is smaller than the sum of its proper divisors (8121578632).

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

4140200304 is a wasteful number, since it uses less digits than its factorization.

4140200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74356 (or 74341 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140200304 is about 64344.3882867807. The cubic root of 4140200304 is about 1605.7346693400.

Adding to 4140200304 its reverse (4030020414), we get a palindrome (8170220718).

The spelling of 4140200304 in words is "four billion, one hundred forty million, two hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4644 6192 6966 9288 13932 18576 27864 55728 74293 148586 222879 297172 445758 594344 668637 891516 1188688 1337274 1783032 2005911 2674548 3194599 3566064 4011822 5349096 6017733 6389198 8023644 9583797 10698192 12035466 12778396 16047288 19167594 24070932 25556792 28751391 32094576 38335188 48141864 51113584 57502782 76670376 86254173 96283728 115005564 153340752 172508346 230011128 258762519 345016692 460022256 517525038 690033384 1035050076 1380066768 2070100152 4140200304