Search a number
-
+
21443552240 = 24511213915937
BaseRepresentation
bin10011111110001000…
…101010001111110000
32001100102211022122112
4103332020222033300
5322404022132430
613503453424452
71356251121005
oct237610521760
961312738575
1021443552240
119104365200
1241a549b128
132039794a66
141075cd38ac
15857865195
hex4fe22a3f0

21443552240 has 120 divisors (see below), whose sum is σ = 55198394160. Its totient is φ = 7741071360.

The previous prime is 21443552231. The next prime is 21443552261. The reversal of 21443552240 is 4225534412.

It is a junction number, because it is equal to n+sod(n) for n = 21443552197 and 21443552206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337552 + ... + 1353488.

It is an arithmetic number, because the mean of its divisors is an integer number (459986618).

Almost surely, 221443552240 is an apocalyptic number.

21443552240 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 21443552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599197080).

21443552240 is an abundant number, since it is smaller than the sum of its proper divisors (33754841920).

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

21443552240 is a wasteful number, since it uses less digits than its factorization.

21443552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16111 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 21443552240 in words is "twenty-one billion, four hundred forty-three million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 139 176 220 242 278 440 484 556 605 695 880 968 1112 1210 1390 1529 1936 2224 2420 2780 3058 4840 5560 6116 7645 9680 11120 12232 15290 15937 16819 24464 30580 31874 33638 61160 63748 67276 79685 84095 122320 127496 134552 159370 168190 175307 254992 269104 318740 336380 350614 637480 672760 701228 876535 1274960 1345520 1402456 1753070 1928377 2215243 2804912 3506140 3856754 4430486 7012280 7713508 8860972 9641885 11076215 14024560 15427016 17721944 19283770 22152430 24367673 30854032 35443888 38567540 44304860 48735346 77135080 88609720 97470692 121838365 154270160 177219440 194941384 243676730 268044403 389882768 487353460 536088806 974706920 1072177612 1340222015 1949413840 2144355224 2680444030 4288710448 5360888060 10721776120 21443552240