Search a number
-
+
21433112411004 = 22327311337811511
BaseRepresentation
bin1001101111110010010010…
…00011010011101101111100
32210212222121110022001202100
410313321021003103231330
510302130003234123004
6113330122542425100
74341330335356230
oct467711103235574
983788543261670
1021433112411004
116913806217858
1224a1a69b92190
13bc6198034ac8
145415223ba5c0
152727ceeba739
hex137e490d3b7c

21433112411004 has 144 divisors (see below), whose sum is σ = 62301373295616. Its totient is φ = 6085935475200.

The previous prime is 21433112411003. The next prime is 21433112411021. The reversal of 21433112411004 is 40011421133412.

It is a happy number.

21433112411004 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 311 + 241 + 100 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433112411003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26005609 + ... + 26817119.

It is an arithmetic number, because the mean of its divisors is an integer number (432648425664).

Almost surely, 221433112411004 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 21433112411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31150686647808).

21433112411004 is an abundant number, since it is smaller than the sum of its proper divisors (40868260884612).

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

21433112411004 is a wasteful number, since it uses less digits than its factorization.

21433112411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812176 (or 812171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21433112411004 its reverse (40011421133412), we get a palindrome (61444533544416).

The spelling of 21433112411004 in words is "twenty-one trillion, four hundred thirty-three billion, one hundred twelve million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 311 337 622 674 933 1011 1244 1348 1866 2022 2177 2359 2799 3033 3732 4044 4354 4718 5598 6066 6531 7077 8708 9436 11196 12132 13062 14154 19593 21231 26124 28308 39186 42462 78372 84924 104807 209614 314421 419228 628842 733649 811511 943263 1257684 1467298 1623022 1886526 2200947 2434533 2934596 3246044 3773052 4401894 4869066 5680577 6602841 7303599 8803788 9738132 11361154 13205682 14607198 17041731 22722308 26411364 29214396 34083462 51125193 68166924 102250386 204500772 252379921 273479207 504759842 546958414 757139763 820437621 1009519684 1093916828 1514279526 1640875242 1766659447 1914354449 2271419289 2461312863 3028559052 3281750484 3533318894 3828708898 4542838578 4922625726 5299978341 5743063347 7066637788 7657417796 9085677156 9845251452 10599956682 11486126694 15899935023 17229190041 21199913364 22972253388 31799870046 34458380082 63599740092 68916760164 85052033377 170104066754 255156100131 340208133508 510312200262 595364233639 765468300393 1020624400524 1190728467278 1530936600786 1786092700917 2381456934556 3061873201572 3572185401834 5358278102751 7144370803668 10716556205502 21433112411004