Search a number
-
+
21443415440 = 2454361710103
BaseRepresentation
bin10011111110001000…
…001000110110010000
32001100102120100222212
4103332020020312100
5322404003243230
613503450451252
71356250011116
oct237610106620
961312510885
1021443415440
119104281447
1241a5433b28
132039747705
141075c99ab6
15857839895
hex4fe208d90

21443415440 has 80 divisors (see below), whose sum is σ = 51103122048. Its totient is φ = 8363486208.

The previous prime is 21443415439. The next prime is 21443415473. The reversal of 21443415440 is 4451434412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21443415397 and 21443415406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2117429 + ... + 2127531.

Almost surely, 221443415440 is an apocalyptic number.

21443415440 is a gapful number since it is divisible by the number (20) 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 21443415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551561024).

21443415440 is an abundant number, since it is smaller than the sum of its proper divisors (29659706608).

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

21443415440 is a wasteful number, since it uses less digits than its factorization.

21443415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 21443415440 its reverse (4451434412), we get a palindrome (25894849852).

The spelling of 21443415440 in words is "twenty-one billion, four hundred forty-three million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 617 688 860 1234 1720 2468 3085 3440 4936 6170 9872 10103 12340 20206 24680 26531 40412 49360 50515 53062 80824 101030 106124 132655 161648 202060 212248 265310 404120 424496 434429 530620 808240 868858 1061240 1737716 2122480 2172145 3475432 4344290 6233551 6950864 8688580 12467102 17377160 24934204 31167755 34754320 49868408 62335510 99736816 124671020 249342040 268042693 498684080 536085386 1072170772 1340213465 2144341544 2680426930 4288683088 5360853860 10721707720 21443415440