Search a number
-
+
1433479727104 = 2113077872897
BaseRepresentation
bin10100110111000010000…
…011001100100000000000
312002001001200000011001121
4110313002003030200000
5141441231302231404
63014310445242024
7205364651431615
oct24670203144000
95061050004047
101433479727104
11502a31a31847
121b1999563314
13a523ab8ab99
144d548c5650c
152744c4dde54
hex14dc20cc800

1433479727104 has 96 divisors (see below), whose sum is σ = 2880243606240. Its totient is φ = 713251160064.

The previous prime is 1433479727083. The next prime is 1433479727111. The reversal of 1433479727104 is 4017279743341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494813784 + ... + 494816680.

It is an arithmetic number, because the mean of its divisors is an integer number (30002537565).

Almost surely, 21433479727104 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 1433479727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440121803120).

1433479727104 is an abundant number, since it is smaller than the sum of its proper divisors (1446763879136).

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

1433479727104 is an equidigital number, since it uses as much as digits as its factorization.

1433479727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 1433479727104 in words is "one trillion, four hundred thirty-three billion, four hundred seventy-nine million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 307 512 614 787 1024 1228 1574 2048 2456 2897 3148 4912 5794 6296 9824 11588 12592 19648 23176 25184 39296 46352 50368 78592 92704 100736 157184 185408 201472 241609 314368 370816 402944 483218 628736 741632 805888 889379 966436 1483264 1611776 1778758 1932872 2279939 2966528 3557516 3865744 4559878 5933056 7115032 7731488 9119756 14230064 15462976 18239512 28460128 30925952 36479024 56920256 61851904 72958048 113840512 123703808 145916096 227681024 247407616 291832192 455362048 494815232 583664384 699941273 910724096 1167328768 1399882546 1821448192 2334657536 2799765092 4669315072 5599530184 11199060368 22398120736 44796241472 89592482944 179184965888 358369931776 716739863552 1433479727104