Search a number
-
+
13433010140 = 22511499122363
BaseRepresentation
bin11001000001010101…
…10111011111011100
31021200011120121201002
430200222313133130
5210002322311030
610100540005432
7653611462604
oct144052673734
937604517632
1013433010140
115773647380
12272a830878
131361000414
14916083c04
15539486245
hex320ab77dc

13433010140 has 48 divisors (see below), whose sum is σ = 30835728000. Its totient is φ = 4874902080.

The previous prime is 13433010131. The next prime is 13433010167. The reversal of 13433010140 is 4101033431.

It is a super-2 number, since 2×134330101402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48599 + ... + 170961.

It is an arithmetic number, because the mean of its divisors is an integer number (642411000).

Almost surely, 213433010140 is an apocalyptic number.

13433010140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13433010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417864000).

13433010140 is an abundant number, since it is smaller than the sum of its proper divisors (17402717860).

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

13433010140 is a wasteful number, since it uses less digits than its factorization.

13433010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122882 (or 122880 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13433010140 its reverse (4101033431), we get a palindrome (17534043571).

The spelling of 13433010140 in words is "thirteen billion, four hundred thirty-three million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 499 998 1996 2495 4990 5489 9980 10978 21956 27445 54890 109780 122363 244726 489452 611815 1223630 1345993 2447260 2691986 5383972 6729965 13459930 26919860 61059137 122118274 244236548 305295685 610591370 671650507 1221182740 1343301014 2686602028 3358252535 6716505070 13433010140