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21411431340 = 223513213715413
BaseRepresentation
bin10011111100001110…
…001000001110101100
32001021012101102001120
4103330032020032230
5322322311300330
613500345140540
71355411110035
oct237416101654
961235342046
1021411431340
119098216302
12419678a750
132032c29600
141071931a8c
15854b1cc10
hex4fc3883ac

21411431340 has 144 divisors (see below), whose sum is σ = 65396546208. Its totient is φ = 5231695872.

The previous prime is 21411431299. The next prime is 21411431359. The reversal of 21411431340 is 4313411412.

It is a self number, because there is not a number n which added to its sum of digits gives 21411431340.

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 47 ways as a sum of consecutive naturals, for example, 1381474 + ... + 1396886.

It is an arithmetic number, because the mean of its divisors is an integer number (454142682).

Almost surely, 221411431340 is an apocalyptic number.

21411431340 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 21411431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32698273104).

21411431340 is an abundant number, since it is smaller than the sum of its proper divisors (43985114868).

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

21411431340 is a wasteful number, since it uses less digits than its factorization.

21411431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15573 counting only the distinct ones).

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

Adding to 21411431340 its reverse (4313411412), we get a palindrome (25724842752).

The spelling of 21411431340 in words is "twenty-one billion, four hundred eleven million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 169 195 260 274 338 390 411 507 548 676 685 780 822 845 1014 1370 1644 1690 1781 2028 2055 2535 2740 3380 3562 4110 5070 5343 7124 8220 8905 10140 10686 15413 17810 21372 23153 26715 30826 35620 46239 46306 53430 61652 69459 77065 92478 92612 106860 115765 138918 154130 184956 200369 231195 231530 277836 308260 347295 400738 462390 463060 601107 694590 801476 924780 1001845 1202214 1389180 2003690 2111581 2404428 2604797 3005535 4007380 4223162 5209594 6011070 6334743 7814391 8446324 10419188 10557905 12022140 12669486 13023985 15628782 21115810 25338972 26047970 27450553 31257564 31673715 39071955 42231620 52095940 54901106 63347430 78143910 82351659 109802212 126694860 137252765 156287820 164703318 274505530 329406636 356857189 411758295 549011060 713714378 823516590 1070571567 1427428756 1647033180 1784285945 2141143134 3568571890 4282286268 5352857835 7137143780 10705715670 21411431340