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21433111440 = 24351319734871
BaseRepresentation
bin10011111101100000…
…110101001110010000
32001022201011212120020
4103331200311032100
5322343334031230
613502441543440
71356063304236
oct237540651620
961281155506
1021433111440
1190a9483944
1241a1aa4b80
13203757a680
141074776956
158569a1810
hex4fd835390

21433111440 has 160 divisors (see below), whose sum is σ = 71918896896. Its totient is φ = 5248911360.

The previous prime is 21433111391. The next prime is 21433111477. The reversal of 21433111440 is 4411133412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21433111440.

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 31 ways as a sum of consecutive naturals, for example, 597205 + ... + 632075.

Almost surely, 221433111440 is an apocalyptic number.

21433111440 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 21433111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35959448448).

21433111440 is an abundant number, since it is smaller than the sum of its proper divisors (50485785456).

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

21433111440 is a wasteful number, since it uses less digits than its factorization.

21433111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35097 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21433111440 its reverse (4411133412), we get a palindrome (25844244852).

The spelling of 21433111440 in words is "twenty-one billion, four hundred thirty-three million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 197 208 240 260 312 390 394 520 591 624 780 788 985 1040 1182 1560 1576 1970 2364 2561 2955 3120 3152 3940 4728 5122 5910 7683 7880 9456 10244 11820 12805 15366 15760 20488 23640 25610 30732 34871 38415 40976 47280 51220 61464 69742 76830 102440 104613 122928 139484 153660 174355 204880 209226 278968 307320 348710 418452 453323 523065 557936 614640 697420 836904 906646 1046130 1359969 1394840 1673808 1813292 2092260 2266615 2719938 2789680 3626584 4184520 4533230 5439876 6799845 6869587 7253168 8369040 9066460 10879752 13599690 13739174 18132920 20608761 21759504 27199380 27478348 34347935 36265840 41217522 54398760 54956696 68695870 82435044 89304631 103043805 108797520 109913392 137391740 164870088 178609262 206087610 267913893 274783480 329740176 357218524 412175220 446523155 535827786 549566960 714437048 824350440 893046310 1071655572 1339569465 1428874096 1648700880 1786092620 2143311144 2679138930 3572185240 4286622288 5358277860 7144370480 10716555720 21433111440