Search a number
-
+
422321022432 = 253223401158993
BaseRepresentation
bin1100010010101000100…
…10110110010111100000
31111101002021111210110100
412021110102312113200
523404403140204212
6522002301102400
742340336314111
oct6112422662740
91441067453410
10422321022432
11153118230981
1269a22557a00
1330a94b3ba1a
141662482a208
15aebb2d9bdc
hex62544b65e0

422321022432 has 144 divisors (see below), whose sum is σ = 1256324797728. Its totient is φ = 134316441600.

The previous prime is 422321022379. The next prime is 422321022449. The reversal of 422321022432 is 234220123224.

422321022432 is a `hidden beast` number, since 4 + 223 + 2 + 1 + 0 + 2 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 422321022396 and 422321022405.

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 23 ways as a sum of consecutive naturals, for example, 2576728 + ... + 2735720.

It is an arithmetic number, because the mean of its divisors is an integer number (8724477762).

Almost surely, 2422321022432 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 422321022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628162398864).

422321022432 is an abundant number, since it is smaller than the sum of its proper divisors (834003775296).

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

422321022432 is a wasteful number, since it uses less digits than its factorization.

422321022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159433 (or 159422 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422321022432 its reverse (234220123224), we get a palindrome (656541145656).

The spelling of 422321022432 in words is "four hundred twenty-two billion, three hundred twenty-one million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 401 414 552 736 802 828 1104 1203 1604 1656 2208 2406 3208 3312 3609 4812 6416 6624 7218 9223 9624 12832 14436 18446 19248 27669 28872 36892 38496 55338 57744 73784 83007 110676 115488 147568 158993 166014 221352 295136 317986 332028 442704 476979 635972 664056 885408 953958 1271944 1328112 1430937 1907916 2543888 2656224 2861874 3656839 3815832 5087776 5723748 7313678 7631664 10970517 11447496 14627356 15263328 21941034 22894992 29254712 32911551 43882068 45789984 58509424 63756193 65823102 87764136 117018848 127512386 131646204 175528272 191268579 255024772 263292408 351056544 382537158 510049544 526584816 573805737 765074316 1020099088 1053169632 1147611474 1466392439 1530148632 2040198176 2295222948 2932784878 3060297264 4399177317 4590445896 5865569756 6120594528 8798354634 9180891792 11731139512 13197531951 17596709268 18361783584 23462279024 26395063902 35193418536 46924558048 52790127804 70386837072 105580255608 140773674144 211160511216 422321022432