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21204240040 = 23523127347523
BaseRepresentation
bin10011101111110111…
…110000011010101000
32000201202112000000201
4103233313300122220
5321411241140130
613424024241544
71350314031544
oct235767603250
960652460021
1021204240040
118aa1271425
1241393102b4
131ccc024cc9
1410521daa24
15841842bca
hex4efdf06a8

21204240040 has 128 divisors (see below), whose sum is σ = 50416680960. Its totient is φ = 8010503424.

The previous prime is 21204240037. The next prime is 21204240059. The reversal of 21204240040 is 4004240212.

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, 40543219 + ... + 40543741.

It is an arithmetic number, because the mean of its divisors is an integer number (393880320).

Almost surely, 221204240040 is an apocalyptic number.

21204240040 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 21204240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208340480).

21204240040 is an abundant number, since it is smaller than the sum of its proper divisors (29212440920).

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

21204240040 is a wasteful number, since it uses less digits than its factorization.

21204240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 21204240040 its reverse (4004240212), we get a palindrome (25208480252).

The spelling of 21204240040 in words is "twenty-one billion, two hundred four million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 184 230 254 347 460 508 523 635 694 920 1016 1046 1270 1388 1735 2092 2540 2615 2776 2921 3470 4184 5080 5230 5842 6940 7981 10460 11684 12029 13880 14605 15962 20920 23368 24058 29210 31924 39905 44069 48116 58420 60145 63848 66421 79810 88138 96232 116840 120290 132842 159620 176276 181481 220345 240580 265684 319240 332105 352552 362962 440690 481160 531368 664210 725924 881380 907405 1013587 1328420 1451848 1527683 1762760 1814810 2027174 2656840 3055366 3629620 4054348 4174063 5067935 6110732 7259240 7638415 8108696 8348126 10135870 12221464 15276830 16696252 20271740 20870315 23048087 30553660 33392504 40543480 41740630 46096174 61107320 83481260 92192348 115240435 166962520 184384696 230480870 460961740 530106001 921923480 1060212002 2120424004 2650530005 4240848008 5301060010 10602120020 21204240040