Search a number
-
+
421213120434 = 23331947265703
BaseRepresentation
bin1100010000100100100…
…00100010011110110010
31111021020001210112122000
412020102100202132302
523400121024323214
6521300322554430
742301024310121
oct6102220423662
91437201715560
10421213120434
111526a9909797
1269773508a16
1330949452402
141655b631ab8
15ae53de2809
hex62124227b2

421213120434 has 64 divisors (see below), whose sum is σ = 967247585280. Its totient is φ = 135731209680.

The previous prime is 421213120423. The next prime is 421213120519. The reversal of 421213120434 is 434021312124.

421213120434 is a `hidden beast` number, since 4 + 2 + 1 + 213 + 12 + 0 + 434 = 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 = 421213120398 and 421213120407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452427 + ... + 1718129.

It is an arithmetic number, because the mean of its divisors is an integer number (15113243520).

Almost surely, 2421213120434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421213120434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483623792640).

421213120434 is an abundant number, since it is smaller than the sum of its proper divisors (546034464846).

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

421213120434 is a wasteful number, since it uses less digits than its factorization.

421213120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266692 (or 266686 counting only the distinct ones).

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

Adding to 421213120434 its reverse (434021312124), we get a palindrome (855234432558).

The spelling of 421213120434 in words is "four hundred twenty-one billion, two hundred thirteen million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 947 1674 1894 2841 5682 8523 17046 25569 29357 51138 58714 88071 176142 264213 265703 528426 531406 792639 797109 1585278 1594218 2391327 4782654 7173981 8236793 14347962 16473586 24710379 49420758 74131137 148262274 222393411 251620741 444786822 503241482 754862223 1509724446 2264586669 4529173338 6793760007 7800242971 13587520014 15600485942 23400728913 46801457826 70202186739 140404373478 210606560217 421213120434