Search a number
-
+
21444032400 = 2435272552861
BaseRepresentation
bin10011111110001010…
…011111011110010000
32001100110201201022020
4103332022133132100
5322404133014100
613503512011440
71356255160620
oct237612373620
961313651266
1021444032400
119104662a2a
1241a5690b80
13203990248b
141075dba880
1585790c5a0
hex4fe29f790

21444032400 has 120 divisors (see below), whose sum is σ = 78505612224. Its totient is φ = 4901491200.

The previous prime is 21444032383. The next prime is 21444032413. The reversal of 21444032400 is 423044412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1268031 + ... + 1284830.

Almost surely, 221444032400 is an apocalyptic number.

21444032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444032400 is an abundant number, since it is smaller than the sum of its proper divisors (57061579824).

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

21444032400 is a wasteful number, since it uses less digits than its factorization.

21444032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552889 (or 2552878 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21444032400 its reverse (423044412), we get a palindrome (21867076812).

The spelling of 21444032400 in words is "twenty-one billion, four hundred forty-four million, thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 2552861 5105722 7658583 10211444 12764305 15317166 17870027 20422888 25528610 30634332 35740054 38292915 40845776 51057220 53610081 61268664 63821525 71480108 76585830 89350135 102114440 107220162 122537328 127643050 142960216 153171660 178700270 191464575 204228880 214440324 255286100 268050405 285920432 306343320 357400540 382929150 428880648 446750675 510572200 536100810 612686640 714801080 765858300 857761296 893501350 1021144400 1072201620 1340252025 1429602160 1531716600 1787002700 2144403240 2680504050 3063433200 3574005400 4288806480 5361008100 7148010800 10722016200 21444032400