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1214411422300 = 225243476179739
BaseRepresentation
bin10001101011000000100…
…011111011101001011100
311022002121102100012211221
4101223000203323221130
5124344103311003200
62325520511223124
7153511150525336
oct21530043735134
94262542305757
101214411422300
11429035651a5a
1217743bb17aa4
138a69820721b
1442ac64da456
15218c9edb91a
hex11ac08fba5c

1214411422300 has 144 divisors (see below), whose sum is σ = 2758678433280. Its totient is φ = 463572426240.

The previous prime is 1214411422297. The next prime is 1214411422309. The reversal of 1214411422300 is 32241144121.

It is a super-2 number, since 2×12144114223002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214411422309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124690831 + ... + 124700569.

It is an arithmetic number, because the mean of its divisors is an integer number (19157489120).

Almost surely, 21214411422300 is an apocalyptic number.

1214411422300 is a gapful number since it is divisible by the number (10) 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 1214411422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379339216640).

1214411422300 is an abundant number, since it is smaller than the sum of its proper divisors (1544267010980).

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

1214411422300 is a wasteful number, since it uses less digits than its factorization.

1214411422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10460 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1214411422300 its reverse (32241144121), we get a palindrome (1246652566421).

The spelling of 1214411422300 in words is "one trillion, two hundred fourteen billion, four hundred eleven million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 47 50 86 94 100 172 188 215 235 430 470 617 860 940 1075 1175 1234 2021 2150 2350 2468 3085 4042 4300 4700 6170 8084 9739 10105 12340 15425 19478 20210 26531 28999 30850 38956 40420 48695 50525 53062 57998 61700 97390 101050 106124 115996 132655 144995 194780 202100 243475 265310 289990 418777 457733 486950 530620 579980 663275 724975 837554 915466 973900 1246957 1326550 1449950 1675108 1830932 2093885 2288665 2493914 2653100 2899900 4187770 4577330 4987828 6008963 6234785 8375540 9154660 10469425 11443325 12017926 12469570 19682519 20938850 22886650 24035852 24939140 30044815 31173925 39365038 41877700 45773300 60089630 62347850 78730076 98412595 120179260 124695700 150224075 196825190 258385409 282421261 300448150 393650380 492062975 516770818 564842522 600896300 984125950 1033541636 1129685044 1291927045 1412106305 1968251900 2583854090 2824212610 5167708180 5648425220 6459635225 7060531525 12144114223 12919270450 14121063050 24288228446 25838540900 28242126100 48576456892 60720571115 121441142230 242882284460 303602855575 607205711150 1214411422300