Search a number
-
+
21433401222432 = 2531606391389853
BaseRepresentation
bin1001101111110010110100…
…10001000010010100100000
32210220000100120202012112220
410313321122101002110200
510302131101203104212
6113330211340551040
74341340443256113
oct467713221022440
983800316665486
1021433401222432
11691394424a091
1224a1b2a852480
13bc6212b16044
1454154c8ba57a
152727ea51938c
hex137e5a442520

21433401222432 has 48 divisors (see below), whose sum is σ = 56263068933120. Its totient is φ = 7144417458432.

The previous prime is 21433401222323. The next prime is 21433401222463. The reversal of 21433401222432 is 23422210433412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 21433401222393 and 21433401222402.

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 7 ways as a sum of consecutive naturals, for example, 14726418 + ... + 16116270.

It is an arithmetic number, because the mean of its divisors is an integer number (1172147269440).

Almost surely, 221433401222432 is an apocalyptic number.

It is an amenable number.

21433401222432 is an abundant number, since it is smaller than the sum of its proper divisors (34829667710688).

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

21433401222432 is a wasteful number, since it uses less digits than its factorization.

21433401222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550505 (or 1550497 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 21433401222432 its reverse (23422210433412), we get a palindrome (44855611655844).

The spelling of 21433401222432 in words is "twenty-one trillion, four hundred thirty-three billion, four hundred one million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 160639 321278 481917 642556 963834 1285112 1389853 1927668 2570224 2779706 3855336 4169559 5140448 5559412 7710672 8339118 11118824 15421344 16678236 22237648 33356472 44475296 66712944 133425888 223264596067 446529192134 669793788201 893058384268 1339587576402 1786116768536 2679175152804 3572233537072 5358350305608 7144467074144 10716700611216 21433401222432