Search a number
-
+
4422010310032 = 2472311627111829
BaseRepresentation
bin100000001011001010001…
…0110101000110110010000
3120122201222111112200002211
41000112110112220312100
51034422234114410112
613223235443321504
7634323352313200
oct100262426506620
916581874480084
104422010310032
1114554005a1737
125b5022380294
13260cbc458763
141140527a8400
157a05ed6c0a7
hex405945a8d90

4422010310032 has 120 divisors (see below), whose sum is σ = 10294357666560. Its totient is φ = 1832869866240.

The previous prime is 4422010310017. The next prime is 4422010310093. The reversal of 4422010310032 is 2300130102244.

It is a junction number, because it is equal to n+sod(n) for n = 4422010309985 and 4422010310012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39486694 + ... + 39598522.

It is an arithmetic number, because the mean of its divisors is an integer number (85786313888).

Almost surely, 24422010310032 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 4422010310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147178833280).

4422010310032 is an abundant number, since it is smaller than the sum of its proper divisors (5872347356528).

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

4422010310032 is a wasteful number, since it uses less digits than its factorization.

4422010310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113509 (or 113496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4422010310032 its reverse (2300130102244), we get a palindrome (6722140412276).

The spelling of 4422010310032 in words is "four trillion, four hundred twenty-two billion, ten million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1627 1736 3038 3254 3472 6076 6508 11389 12152 13016 22778 24304 26032 45556 50437 79723 91112 100874 111829 159446 182224 201748 223658 318892 353059 403496 447316 637784 706118 782803 806992 894632 1275568 1412236 1565606 1789264 2471413 2824472 3131212 3466699 4942826 5479621 5648944 6262424 6933398 9885652 10959242 12524848 13866796 19771304 21918484 24266893 27733592 39542608 43836968 48533786 55467184 87673936 97067572 169868251 181945783 194135144 339736502 363891566 388270288 679473004 727783132 1273620481 1358946008 1455566264 2547240962 2717892016 2911132528 5094481924 5640319273 8915343367 10188963848 11280638546 17830686734 20377927696 22561277092 35661373468 39482234911 45122554184 71322746936 78964469822 90245108368 142645493872 157928939644 276375644377 315857879288 552751288754 631715758576 1105502577508 2211005155016 4422010310032