Search a number
-
+
10023324444 = 223271632391021
BaseRepresentation
bin10010101010110111…
…11100101100011100
3221212112122122020200
421111123330230130
5131011432340234
64334334343500
7503246565150
oct112533745434
927775578220
1010023324444
1142839a6011
121b3895ab90
13c39795b13
146b12b5060
153d9e68d99
hex2556fcb1c

10023324444 has 144 divisors (see below), whose sum is σ = 29284469760. Its totient is φ = 2831552640.

The previous prime is 10023324439. The next prime is 10023324461. The reversal of 10023324444 is 44442332001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9816654 + ... + 9817674.

Almost surely, 210023324444 is an apocalyptic number.

10023324444 is a gapful number since it is divisible by the number (14) 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 10023324444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642234880).

10023324444 is an abundant number, since it is smaller than the sum of its proper divisors (19261145316).

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

10023324444 is a wasteful number, since it uses less digits than its factorization.

10023324444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

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

Adding to 10023324444 its reverse (44442332001), we get a palindrome (54465656445).

The spelling of 10023324444 in words is "ten billion, twenty-three million, three hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 239 252 326 478 489 652 717 956 978 1021 1141 1434 1467 1673 1956 2042 2151 2282 2868 2934 3063 3346 3423 4084 4302 4564 5019 5868 6126 6692 6846 7147 8604 9189 10038 10269 12252 13692 14294 15057 18378 20076 20538 21441 28588 30114 36756 38957 41076 42882 60228 64323 77914 85764 116871 128646 155828 166423 233742 244019 257292 272699 332846 350613 467484 488038 499269 545398 665692 701226 732057 818097 976076 998538 1090796 1164961 1402452 1464114 1497807 1636194 1708133 1997076 2196171 2329922 2454291 2928228 2995614 3272388 3416266 3494883 4392342 4659844 4908582 5124399 5991228 6832532 6989766 8784684 9817164 10248798 10484649 13979532 15373197 20497596 20969298 30746394 39775097 41938596 61492788 79550194 119325291 159100388 238650582 278425679 357975873 477301164 556851358 715951746 835277037 1113702716 1431903492 1670554074 2505831111 3341108148 5011662222 10023324444