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21214251455136 = 253714317221391
BaseRepresentation
bin1001101001011010100111…
…11011000001001010100000
32210010001200122210112210220
410310231103323001022200
510240033241333031021
6113041405332523040
74316451633055545
oct464552373011240
983101618715726
1021214251455136
116839a0598a323
122467569a80480
13bab65930c41c
14534abd3d6bcc
1526bc70cc4cc6
hex134b53ec12a0

21214251455136 has 96 divisors (see below), whose sum is σ = 56602772545536. Its totient is φ = 6955642848000.

The previous prime is 21214251455107. The next prime is 21214251455143. The reversal of 21214251455136 is 63155415241212.

It is a tau number, because it is divible by the number of its divisors (96).

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, 673000 + ... + 6548391.

It is an arithmetic number, because the mean of its divisors is an integer number (589612214016).

Almost surely, 221214251455136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214251455136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28301386272768).

21214251455136 is an abundant number, since it is smaller than the sum of its proper divisors (35388521090400).

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

21214251455136 is a wasteful number, since it uses less digits than its factorization.

21214251455136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221906 (or 7221898 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

Adding to 21214251455136 its reverse (63155415241212), we get a palindrome (84369666696348).

The spelling of 21214251455136 in words is "twenty-one trillion, two hundred fourteen billion, two hundred fifty-one million, four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 431 568 852 862 1136 1293 1704 1724 2272 2586 3408 3448 5172 6816 6896 10344 13792 20688 30601 41376 61202 91803 122404 183606 244808 367212 489616 734424 979232 1468848 2937696 7221391 14442782 21664173 28885564 43328346 57771128 86656692 115542256 173313384 231084512 346626768 512718761 693253536 1025437522 1538156283 2050875044 3076312566 3112419521 4101750088 6152625132 6224839042 8203500176 9337258563 12305250264 12449678084 16407000352 18674517126 24610500528 24899356168 37349034252 49221001056 49798712336 74698068504 99597424672 149396137008 220981785991 298792274016 441963571982 662945357973 883927143964 1325890715946 1767854287928 2651781431892 3535708575856 5303562863784 7071417151712 10607125727568 21214251455136