Search a number
-
+
20444231304 = 2333737365441
BaseRepresentation
bin10011000010100100…
…100011011010001000
31221202210102120001000
4103002210203122020
5313332210400204
613220354455000
71322425045620
oct230244433210
957683376030
1020444231304
118741265632
123b66894460
131c0a7349b3
14dbd2c1880
157e9c6a039
hex4c2923688

20444231304 has 128 divisors (see below), whose sum is σ = 66656620800. Its totient is φ = 5683322880.

The previous prime is 20444231281. The next prime is 20444231309. The reversal of 20444231304 is 40313244402.

It is a happy number.

20444231304 is a `hidden beast` number, since 204 + 4 + 423 + 1 + 30 + 4 = 666.

It is a super-2 number, since 2×204442313042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20444231309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126777 + ... + 238664.

It is an arithmetic number, because the mean of its divisors is an integer number (520754850).

Almost surely, 220444231304 is an apocalyptic number.

20444231304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20444231304 is an abundant number, since it is smaller than the sum of its proper divisors (46212389496).

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

20444231304 is a wasteful number, since it uses less digits than its factorization.

20444231304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365500 (or 365490 counting only the distinct ones).

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

Adding to 20444231304 its reverse (40313244402), we get a palindrome (60757475706).

The spelling of 20444231304 in words is "twenty billion, four hundred forty-four million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 55944 365441 730882 1096323 1461764 2192646 2558087 2923528 3288969 4385292 5116174 6577938 7674261 8770584 9866907 10232348 13155876 13521317 15348522 19733814 20464696 23022783 26311752 27042634 30697044 39467628 40563951 46045566 54085268 61394088 69068349 78935256 81127902 92091132 94649219 108170536 121691853 138136698 162255804 184182264 189298438 243383706 276273396 283947657 324511608 365075559 378596876 486767412 552546792 567895314 730151118 757193752 851842971 973534824 1135790628 1460302236 1703685942 2271581256 2555528913 2920604472 3407371884 5111057826 6814743768 10222115652 20444231304