Search a number
-
+
422400314032 = 24176152348677
BaseRepresentation
bin1100010010110010000…
…01010100101010110000
31111101021210201020002021
412021121001110222300
523410033440022112
6522014212401224
742342321300004
oct6113101245260
91441253636067
10422400314032
11153158a68924
1269a45016214
1330aa83b1828
141663118a704
15aec324d907
hex6259054ab0

422400314032 has 80 divisors (see below), whose sum is σ = 882449582112. Its totient is φ = 195140136960.

The previous prime is 422400313997. The next prime is 422400314087. The reversal of 422400314032 is 230413004224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422400313988 and 422400314006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8653278 + ... + 8701954.

Almost surely, 2422400314032 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 422400314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441224791056).

422400314032 is an abundant number, since it is smaller than the sum of its proper divisors (460049268080).

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

422400314032 is a wasteful number, since it uses less digits than its factorization.

422400314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49286 (or 49280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 422400314032 its reverse (230413004224), we get a palindrome (652813318256).

The spelling of 422400314032 in words is "four hundred twenty-two billion, four hundred million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 523 976 1037 1046 2074 2092 4148 4184 8296 8368 8891 16592 17782 31903 35564 48677 63806 71128 97354 127612 142256 194708 255224 389416 510448 542351 778832 827509 1084702 1655018 2169404 2969297 3310036 4338808 5938594 6620072 8677616 11877188 13240144 23754376 25458071 47508752 50478049 50916142 100956098 101832284 201912196 203664568 403824392 407329136 432787207 807648784 865574414 1552942331 1731148828 3105884662 3462297656 6211769324 6924595312 12423538648 24847077296 26400019627 52800039254 105600078508 211200157016 422400314032