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21143469312 = 28337436993
BaseRepresentation
bin10011101100001111…
…111011110100000000
32000120112011112021000
4103230033323310000
5321300212004222
613414013532000
71345645344450
oct235417736400
960515145230
1021143469312
118a6aa34489
124120aa4000
131cbc5682b4
1410480dbd60
1583b33b9ac
hex4ec3fbd00

21143469312 has 144 divisors (see below), whose sum is σ = 71457258880. Its totient is φ = 6040977408.

The previous prime is 21143469283. The next prime is 21143469317. The reversal of 21143469312 is 21396434112.

21143469312 is a `hidden beast` number, since 21 + 143 + 469 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21143469317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170113 + ... + 266880.

Almost surely, 221143469312 is an apocalyptic number.

It is an amenable number.

21143469312 is an abundant number, since it is smaller than the sum of its proper divisors (50313789568).

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

21143469312 is an equidigital number, since it uses as much as digits as its factorization.

21143469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437025 (or 437005 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 21143469312 in words is "twenty-one billion, one hundred forty-three million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 436993 873986 1310979 1747972 2621958 3058951 3495944 3932937 5243916 6117902 6991888 7865874 9176853 10487832 11798811 12235804 13983776 15731748 18353706 20975664 23597622 24471608 27530559 27967552 31463496 36707412 41951328 47195244 48943216 55061118 55935104 62926992 73414824 82591677 83902656 94390488 97886432 110122236 111870208 125853984 146829648 165183354 167805312 188780976 195772864 220244472 251707968 293659296 330366708 335610624 377561952 391545728 440488944 503415936 587318592 660733416 755123904 783091456 880977888 1006831872 1174637184 1321466832 1510247808 1761955776 2349274368 2642933664 3020495616 3523911552 5285867328 7047823104 10571734656 21143469312