Search a number
-
+
429402204924 = 223711464721001
BaseRepresentation
bin1100011111110100101…
…11011010101011111100
31112001100210000010200120
412033322113122223330
524013403431024144
6525133055254540
743010662343040
oct6177227325374
91461323003616
10429402204924
11156121394110
126b279b1a450
1331652bca334
1416ad707a020
15b282cdce19
hex63fa5daafc

429402204924 has 48 divisors (see below), whose sum is σ = 1249170053376. Its totient is φ = 111533040000.

The previous prime is 429402204923. The next prime is 429402204943.

429402204924 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429402204923) 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, 232359577 + ... + 232361424.

It is an arithmetic number, because the mean of its divisors is an integer number (26024376112).

Almost surely, 2429402204924 is an apocalyptic number.

429402204924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429402204924 is an abundant number, since it is smaller than the sum of its proper divisors (819767848452).

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

429402204924 is a wasteful number, since it uses less digits than its factorization.

429402204924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464721026 (or 464721024 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 429402204924 in words is "four hundred twenty-nine billion, four hundred two million, two hundred four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 464721001 929442002 1394163003 1858884004 2788326006 3253047007 5111931011 5576652012 6506094014 9759141021 10223862022 13012188028 15335793033 19518282042 20447724044 30671586066 35783517077 39036564084 61343172132 71567034154 107350551231 143134068308 214701102462 429402204924