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21138322814380 = 22519439071426301
BaseRepresentation
bin1001100111001101001100…
…01110001111010110101100
32202211210201001122221202001
410303212212032033112230
510232312241120030010
6112542451134342044
74311123226215142
oct463464616172654
982753631587661
1021138322814380
11680a792176752
1224548b965a924
13ba4448822425
14531159269592
15269cc9e74c3a
hex1339a638f5ac

21138322814380 has 96 divisors (see below), whose sum is σ = 47866238703360. Its totient is φ = 7815393734400.

The previous prime is 21138322814363. The next prime is 21138322814449. The reversal of 21138322814380 is 8341822383112.

It is a self number, because there is not a number n which added to its sum of digits gives 21138322814380.

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, 14107230 + ... + 15533530.

It is an arithmetic number, because the mean of its divisors is an integer number (498606653160).

Almost surely, 221138322814380 is an apocalyptic number.

21138322814380 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 21138322814380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23933119351680).

21138322814380 is an abundant number, since it is smaller than the sum of its proper divisors (26727915888980).

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

21138322814380 is a wasteful number, since it uses less digits than its factorization.

21138322814380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427279 (or 1427277 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 21138322814380 in words is "twenty-one trillion, one hundred thirty-eight billion, three hundred twenty-two million, eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 907 1634 1814 3268 3628 4085 4535 8170 9070 16340 17233 18140 34466 39001 68932 78002 86165 156004 172330 195005 344660 390010 741019 780020 1426301 1482038 2852602 2964076 3705095 5705204 7131505 7410190 14263010 14820380 27099719 28526020 54199438 61330943 108398876 122661886 135498595 245323772 270997190 306654715 541994380 613309430 1165287917 1226618860 1293655007 2330575834 2587310014 4661151668 5174620028 5826439585 6468275035 11652879170 12936550070 23305758340 24579445133 25873100140 49158890266 55627165301 98317780532 111254330602 122897225665 222508661204 245794451330 278135826505 491588902660 556271653010 1056916140719 1112543306020 2113832281438 4227664562876 5284580703595 10569161407190 21138322814380