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21143211144 = 2331185019421
BaseRepresentation
bin10011101100001110…
…111100110010001000
32000120111200102010020
4103230032330302020
5321300130224034
613414004220440
71345643220666
oct235416746210
960514612106
1021143211144
118a6a878520
12412099a720
131cbc4a7933
141048071c36
1583b2da249
hex4ec3bcc88

21143211144 has 64 divisors (see below), whose sum is σ = 57676207680. Its totient is φ = 6405600000.

The previous prime is 21143211137. The next prime is 21143211169. The reversal of 21143211144 is 44111234112.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239554 + ... + 2248974.

It is an arithmetic number, because the mean of its divisors is an integer number (901190745).

Almost surely, 221143211144 is an apocalyptic number.

21143211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21143211144 is an abundant number, since it is smaller than the sum of its proper divisors (36532996536).

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

21143211144 is a wasteful number, since it uses less digits than its factorization.

21143211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17938 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 21143211144 its reverse (44111234112), we get a palindrome (65254445256).

The spelling of 21143211144 in words is "twenty-one billion, one hundred forty-three million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8501 9421 17002 18842 25503 28263 34004 37684 51006 56526 68008 75368 93511 102012 103631 113052 187022 204024 207262 226104 280533 310893 374044 414524 561066 621786 748088 829048 1122132 1243572 2244264 2487144 80087921 160175842 240263763 320351684 480527526 640703368 880967131 961055052 1761934262 1922110104 2642901393 3523868524 5285802786 7047737048 10571605572 21143211144