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21041434320 = 2435591499973
BaseRepresentation
bin10011100110001010…
…101100111011010000
32000022102011121120020
4103212022230323100
5321043101344240
613355530543440
71343266145364
oct234612547320
960272147506
1021041434320
118a18383045
1240b2897b80
131ca439146a
14103873b2a4
158323d40d0
hex4e62aced0

21041434320 has 160 divisors (see below), whose sum is σ = 66785904000. Its totient is φ = 5478377472.

The previous prime is 21041434307. The next prime is 21041434321. The reversal of 21041434320 is 2343414012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21041434321) by changing a digit.

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, 2104854 + ... + 2114826.

It is an arithmetic number, because the mean of its divisors is an integer number (417411900).

Almost surely, 221041434320 is an apocalyptic number.

21041434320 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 21041434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33392952000).

21041434320 is an abundant number, since it is smaller than the sum of its proper divisors (45744469680).

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

21041434320 is a wasteful number, since it uses less digits than its factorization.

21041434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10191 counting only the distinct ones).

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

Adding to 21041434320 its reverse (2343414012), we get a palindrome (23384848332).

The spelling of 21041434320 in words is "twenty-one billion, forty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 149 177 236 240 295 298 354 447 472 590 596 708 745 885 894 944 1180 1192 1416 1490 1770 1788 2235 2360 2384 2832 2980 3540 3576 4470 4720 5960 7080 7152 8791 8940 9973 11920 14160 17582 17880 19946 26373 29919 35164 35760 39892 43955 49865 52746 59838 70328 79784 87910 99730 105492 119676 131865 140656 149595 159568 175820 199460 210984 239352 263730 299190 351640 398920 421968 478704 527460 588407 598380 703280 797840 1054920 1176814 1196760 1485977 1765221 2109840 2353628 2393520 2942035 2971954 3530442 4457931 4707256 5884070 5943908 7060884 7429885 8826105 8915862 9414512 11768140 11887816 14121768 14859770 17652210 17831724 22289655 23536280 23775632 28243536 29719540 35304420 35663448 44579310 47072560 59439080 70608840 71326896 87672643 89158620 118878160 141217680 175345286 178317240 263017929 350690572 356634480 438363215 526035858 701381144 876726430 1052071716 1315089645 1402762288 1753452860 2104143432 2630179290 3506905720 4208286864 5260358580 7013811440 10520717160 21041434320