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21414302040 = 23353711094349
BaseRepresentation
bin10011111100011001…
…000101000101011000
32001021101210020220210
4103330121011011120
5322324030131130
613500530451120
71355444364315
oct237431050530
961241706823
1021414302040
1190998a708a
124197733aa0
1320336c3151
14107207bd0c
15854ed85b0
hex4fc645158

21414302040 has 128 divisors (see below), whose sum is σ = 66053880000. Its totient is φ = 5549856768.

The previous prime is 21414302033. The next prime is 21414302101. The reversal of 21414302040 is 4020341412.

It is a junction number, because it is equal to n+sod(n) for n = 21414301998 and 21414302016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921786 + ... + 4926134.

Almost surely, 221414302040 is an apocalyptic number.

21414302040 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 21414302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33026940000).

21414302040 is an abundant number, since it is smaller than the sum of its proper divisors (44639577960).

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

21414302040 is a wasteful number, since it uses less digits than its factorization.

21414302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21414302040 its reverse (4020341412), we get a palindrome (25434643452).

The spelling of 21414302040 in words is "twenty-one billion, four hundred fourteen million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1109 1110 1480 2218 2220 3327 4349 4436 4440 5545 6654 8698 8872 11090 13047 13308 16635 17396 21745 22180 26094 26616 33270 34792 41033 43490 44360 52188 65235 66540 82066 86980 104376 123099 130470 133080 160913 164132 173960 205165 246198 260940 321826 328264 410330 482739 492396 521880 615495 643652 804565 820660 965478 984792 1230990 1287304 1609130 1641320 1930956 2413695 2461980 3218260 3861912 4823041 4827390 4923960 6436520 9646082 9654780 14469123 19292164 19309560 24115205 28938246 38584328 48230410 57876492 72345615 96460820 115752984 144691230 178452517 192921640 289382460 356905034 535357551 578764920 713810068 892262585 1070715102 1427620136 1784525170 2141430204 2676787755 3569050340 4282860408 5353575510 7138100680 10707151020 21414302040