Search a number
-
+
141213404430 = 2335774716087
BaseRepresentation
bin1000001110000011111…
…0011000110100001110
3111111111101221012201000
42003200332120310032
54303201112420210
6144512245201130
713126254063360
oct2034076306416
9444441835630
10141213404430
115498531591a
12234501001a6
131041609a797
146b9884ad30
153a17508ac0
hex20e0f98d0e

141213404430 has 64 divisors (see below), whose sum is σ = 430364666880. Its totient is φ = 32277349152.

The previous prime is 141213404377. The next prime is 141213404473. The reversal of 141213404430 is 34404312141.

141213404430 is a `hidden beast` number, since 1 + 4 + 1 + 213 + 4 + 0 + 443 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141213404394 and 141213404403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37356154 + ... + 37359933.

It is an arithmetic number, because the mean of its divisors is an integer number (6724447920).

Almost surely, 2141213404430 is an apocalyptic number.

141213404430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141213404430 is an abundant number, since it is smaller than the sum of its proper divisors (289151262450).

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

141213404430 is a wasteful number, since it uses less digits than its factorization.

141213404430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74716110 (or 74716104 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141213404430 its reverse (34404312141), we get a palindrome (175617716571).

The spelling of 141213404430 in words is "one hundred forty-one billion, two hundred thirteen million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 74716087 149432174 224148261 373580435 448296522 523012609 672444783 747160870 1046025218 1120741305 1344889566 1569037827 2017334349 2241482610 2615063045 3138075654 3362223915 4034668698 4707113481 5230126090 6724447830 7845189135 9414226962 10086671745 14121340443 15690378270 20173343490 23535567405 28242680886 47071134810 70606702215 141213404430