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244234543432 = 2311291671972909
BaseRepresentation
bin1110001101110110000…
…0110110000101001000
3212100102010101022112211
43203131200312011020
513000143020342212
6304111053514504
723434234236325
oct3433540660510
9770363338484
10244234543432
119464103a410
123b4017a2a34
131a053783429
14bb6cc17b4c
156546ab09a7
hex38dd836148

244234543432 has 128 divisors (see below), whose sum is σ = 522710496000. Its totient is φ = 105968450560.

The previous prime is 244234543411. The next prime is 244234543493. The reversal of 244234543432 is 234345432442.

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 31 ways as a sum of consecutive naturals, for example, 83956794 + ... + 83959702.

It is an arithmetic number, because the mean of its divisors is an integer number (4083675750).

Almost surely, 2244234543432 is an apocalyptic number.

244234543432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244234543432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261355248000).

244234543432 is an abundant number, since it is smaller than the sum of its proper divisors (278475952568).

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

244234543432 is a wasteful number, since it uses less digits than its factorization.

244234543432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3315 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 40.

Adding to 244234543432 its reverse (234345432442), we get a palindrome (478579975874).

The spelling of 244234543432 in words is "two hundred forty-four billion, two hundred thirty-four million, five hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 167 197 232 319 334 394 638 668 788 1276 1336 1576 1837 2167 2552 2909 3674 4334 4843 5713 5818 7348 8668 9686 11426 11636 14696 17336 19372 22852 23272 31999 32899 38744 45704 53273 62843 63998 65798 84361 106546 125686 127996 131596 168722 213092 251372 255992 263192 337444 361889 426184 485803 502744 573073 674888 723778 927971 954071 971606 1146146 1447556 1855942 1908142 1943212 2292292 2895112 3711884 3816284 3886424 4584584 5343833 6303803 7423768 7632568 10494781 10687666 12607606 14088287 16619117 20989562 21375332 25215212 28176574 33238234 41979124 42750664 50430424 56353148 66476468 83958248 95703191 112706296 132952936 154971157 182810287 191406382 309942314 365620574 382812764 619884628 731241148 765625528 1052735101 1239769256 1462482296 2105470202 2775392539 4210940404 5550785078 8421880808 11101570156 22203140312 30529317929 61058635858 122117271716 244234543432