Search a number
-
+
2414432002212 = 2232235386154139
BaseRepresentation
bin100011001000100111010…
…111001010000010100100
322112211001220202220011100
4203020213113022002210
5304024224043032322
65045101425040100
7336302606254206
oct43104727120244
98484056686140
102414432002212
11850a55a1503a
1232bb24486030
131468abb49299
1484c05660776
1542c118dedac
hex232275ca0a4

2414432002212 has 72 divisors (see below), whose sum is σ = 6368737677120. Its totient is φ = 769790387520.

The previous prime is 2414432002141. The next prime is 2414432002243. The reversal of 2414432002212 is 2122002344142.

It is a happy number.

2414432002212 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 432 + 0 + 0 + 221 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 44569839 + ... + 44623977.

It is an arithmetic number, because the mean of its divisors is an integer number (88454689960).

Almost surely, 22414432002212 is an apocalyptic number.

It is an amenable number.

2414432002212 is an abundant number, since it is smaller than the sum of its proper divisors (3954305674908).

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

2414432002212 is a wasteful number, since it uses less digits than its factorization.

2414432002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108033 (or 108028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2414432002212 its reverse (2122002344142), we get a palindrome (4536434346354).

The spelling of 2414432002212 in words is "two trillion, four hundred fourteen billion, four hundred thirty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 53861 54139 107722 108278 161583 162417 215444 216556 323166 324834 484749 487251 646332 649668 969498 974502 1238803 1245197 1938996 1949004 2477606 2490394 3716409 3735591 4955212 4980788 7432818 7471182 11149227 11206773 14865636 14942364 22298454 22413546 44596908 44827092 2915980679 5831961358 8747942037 11663922716 17495884074 26243826111 34991768148 52487652222 67067555617 104975304444 134135111234 201202666851 268270222468 402405333702 603608000553 804810667404 1207216001106 2414432002212