Search a number
-
+
21044414222000 = 2453135991351253
BaseRepresentation
bin1001100100011110010001…
…10101011000111010110000
32202111211022102002011211222
410302033020311120322300
510224242430020101000
6112431400451324212
74301260126312421
oct462171065307260
982454272064758
1021044414222000
116783982224324
12243a66b8b0668
13b986310042c0
1452a7ab20d648
152676308cba85
hex1323c8d58eb0

21044414222000 has 160 divisors (see below), whose sum is σ = 54891180489600. Its totient is φ = 7757267481600.

The previous prime is 21044414221991. The next prime is 21044414222003. The reversal of 21044414222000 is 22241444012.

It is a happy number.

It is a super-3 number, since 3×210444142220003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (21044414222003) 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, 14898374 + ... + 16249626.

It is an arithmetic number, because the mean of its divisors is an integer number (343069878060).

Almost surely, 221044414222000 is an apocalyptic number.

21044414222000 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 21044414222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27445590244800).

21044414222000 is an abundant number, since it is smaller than the sum of its proper divisors (33846766267600).

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

21044414222000 is a wasteful number, since it uses less digits than its factorization.

21044414222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351888 (or 1351872 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 21044414222000 its reverse (22241444012), we get a palindrome (21066655666012).

The spelling of 21044414222000 in words is "twenty-one trillion, forty-four billion, four hundred fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 599 650 1000 1040 1198 1300 1625 2000 2396 2600 2995 3250 4792 5200 5990 6500 7787 9584 11980 13000 14975 15574 23960 26000 29950 31148 38935 47920 59900 62296 74875 77870 119800 124592 149750 155740 194675 239600 299500 311480 389350 599000 622960 778700 973375 1198000 1351253 1557400 1946750 2702506 3114800 3893500 5405012 6756265 7787000 10810024 13512530 15574000 17566289 21620048 27025060 33781325 35132578 54050120 67562650 70265156 87831445 108100240 135125300 140530312 168906625 175662890 270250600 281060624 337813250 351325780 439157225 540501200 675626500 702651560 809400547 878314450 1351253000 1405303120 1618801094 1756628900 2195786125 2702506000 3237602188 3513257800 4047002735 4391572250 6475204376 7026515600 8094005470 8783144500 10522207111 12950408752 16188010940 17566289000 20235013675 21044414222 32376021880 35132578000 40470027350 42088828444 52611035555 64752043760 80940054700 84177656888 101175068375 105222071110 161880109400 168355313776 202350136750 210444142220 263055177775 323760218800 404700273500 420888284440 526110355550 809400547000 841776568880 1052220711100 1315275888875 1618801094000 2104441422200 2630551777750 4208882844400 5261103555500 10522207111000 21044414222000