Search a number
-
+
21655141440 = 263530773477
BaseRepresentation
bin10100001010101111…
…110011110001000000
32001220011222011110120
4110022233303301000
5323322204011230
613540452500240
71364430444102
oct241257636100
961804864416
1021655141440
119202843309
12424431a680
13207157907a
141096051572
1586b20d310
hex50abf3c40

21655141440 has 112 divisors (see below), whose sum is σ = 68979970752. Its totient is φ = 5755815936.

The previous prime is 21655141439. The next prime is 21655141451. The reversal of 21655141440 is 4414155612.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257982 + ... + 331458.

It is an arithmetic number, because the mean of its divisors is an integer number (615892596).

Almost surely, 221655141440 is an apocalyptic number.

21655141440 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 21655141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34489985376).

21655141440 is an abundant number, since it is smaller than the sum of its proper divisors (47324829312).

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

21655141440 is a wasteful number, since it uses less digits than its factorization.

21655141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73804 (or 73794 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 21655141440 in words is "twenty-one billion, six hundred fifty-five million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 480 614 921 960 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 19648 24560 29472 36840 49120 58944 73477 73680 98240 146954 147360 220431 293908 294720 367385 440862 587816 734770 881724 1102155 1175632 1469540 1763448 2204310 2351264 2939080 3526896 4408620 4702528 5878160 7053792 8817240 11756320 14107584 17634480 22557439 23512640 35268960 45114878 67672317 70537920 90229756 112787195 135344634 180459512 225574390 270689268 338361585 360919024 451148780 541378536 676723170 721838048 902297560 1082757072 1353446340 1443676096 1804595120 2165514144 2706892680 3609190240 4331028288 5413785360 7218380480 10827570720 21655141440