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21000343102440 = 23351322735922463
BaseRepresentation
bin1001100011001100001011…
…11111011010001111101000
32202100121120000111100012120
410301212011333122033220
510223032200313234230
6112355231402311240
74265140036056402
oct461460577321750
982317500440176
1021000343102440
116767217226969
1224320104b8520
13b9442968c070
145285ca097b72
152664017c2310
hex131985fda3e8

21000343102440 has 128 divisors (see below), whose sum is σ = 67877123005440. Its totient is φ = 5167040126976.

The previous prime is 21000343102399. The next prime is 21000343102447. The reversal of 21000343102440 is 4420134300012.

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 21000343102440.

It is not an unprimeable number, because it can be changed into a prime (21000343102447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584649 + ... + 6507111.

It is an arithmetic number, because the mean of its divisors is an integer number (530290023480).

Almost surely, 221000343102440 is an apocalyptic number.

21000343102440 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 21000343102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33938561502720).

21000343102440 is an abundant number, since it is smaller than the sum of its proper divisors (46876779903000).

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

21000343102440 is a wasteful number, since it uses less digits than its factorization.

21000343102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924763 (or 5924759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21000343102440 its reverse (4420134300012), we get a palindrome (25420477402452).

The spelling of 21000343102440 in words is "twenty-one trillion, three hundred forty-three million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2273 4546 6819 9092 11365 13638 18184 22730 27276 29549 34095 45460 54552 59098 68190 88647 90920 118196 136380 147745 177294 236392 272760 295490 354588 443235 590980 709176 886470 1181960 1772940 3545880 5922463 11844926 17767389 23689852 29612315 35534778 47379704 59224630 71069556 76992019 88836945 118449260 142139112 153984038 177673890 230976057 236898520 307968076 355347780 384960095 461952114 615936152 710695560 769920190 923904228 1154880285 1539840380 1847808456 2309760570 3079680760 4619521140 9239042280 13461758399 26923516798 40385275197 53847033596 67308791995 80770550394 107694067192 134617583990 161541100788 175002859187 201926375985 269235167980 323082201576 350005718374 403852751970 525008577561 538470335960 700011436748 807705503940 875014295935 1050017155122 1400022873496 1615411007880 1750028591870 2100034310244 2625042887805 3500057183740 4200068620488 5250085775610 7000114367480 10500171551220 21000343102440