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21443420400 = 2435217869517
BaseRepresentation
bin10011111110001000…
…001010000011110000
32001100102120121210120
4103332020022003300
5322404003423100
613503450530240
71356250031433
oct237610120360
961312517716
1021443420400
119104285146
1241a5436980
132039749a4c
141075c9b81a
1585783b0a0
hex4fe20a0f0

21443420400 has 60 divisors (see below), whose sum is σ = 68690427192. Its totient is φ = 5718245120.

The previous prime is 21443420371. The next prime is 21443420413. The reversal of 21443420400 is 402434412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×214434204002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8933559 + ... + 8935958.

Almost surely, 221443420400 is an apocalyptic number.

21443420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21443420400 is an abundant number, since it is smaller than the sum of its proper divisors (47247006792).

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

21443420400 is a wasteful number, since it uses less digits than its factorization.

21443420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869538 (or 17869527 counting only the distinct ones).

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

Adding to 21443420400 its reverse (402434412), we get a palindrome (21845854812).

The spelling of 21443420400 in words is "twenty-one billion, four hundred forty-three million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17869517 35739034 53608551 71478068 89347585 107217102 142956136 178695170 214434204 268042755 285912272 357390340 428868408 446737925 536085510 714780680 857736816 893475850 1072171020 1340213775 1429561360 1786951700 2144342040 2680427550 3573903400 4288684080 5360855100 7147806800 10721710200 21443420400