Search a number
-
+
4404100133432 = 2337113353373003
BaseRepresentation
bin100000000010110100011…
…0100101111001000111000
3120121000202022101102121202
41000011220310233020320
51034124044113232212
613211114330153332
7633120464316656
oct100055064571070
916530668342552
104404100133432
11144884a78a99a
125b1664282848
1325c3c6a1791c
14113233c7ddd6
15798628080c2
hex40168d2f238

4404100133432 has 64 divisors (see below), whose sum is σ = 8580181171680. Its totient is φ = 2117553242112.

The previous prime is 4404100133401. The next prime is 4404100133483. The reversal of 4404100133432 is 2343310014044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4404100133395 and 4404100133404.

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 15 ways as a sum of consecutive naturals, for example, 11620643 + ... + 11993645.

Almost surely, 24404100133432 is an apocalyptic number.

It is an amenable number.

4404100133432 is a deficient number, since it is larger than the sum of its proper divisors (4176081038248).

4404100133432 is a wasteful number, since it uses less digits than its factorization.

4404100133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373512 (or 373508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4404100133432 its reverse (2343310014044), we get a palindrome (6747410147476).

The spelling of 4404100133432 in words is "four trillion, four hundred four billion, one hundred million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 37 74 113 148 226 296 353 452 706 904 1412 2824 4181 8362 13061 16724 26122 33448 39889 52244 79778 104488 159556 319112 373003 746006 1475893 1492012 2951786 2984024 5903572 11807144 13801111 27602222 42149339 55204444 84298678 110408888 131670059 168597356 263340118 337194712 526680236 1053360472 1559525543 3119051086 4871792183 6238102172 9743584366 12476204344 14878716667 19487168732 29757433334 38974337464 59514866668 119029733336 550512516679 1101025033358 2202050066716 4404100133432