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21441441312 = 2536919129
BaseRepresentation
bin10011111110000000…
…100110111000100000
32001100021212002000000
4103332000212320200
5322403002110222
613503340300000
71356224146464
oct237600467040
961307762000
1021441441312
119103153235
1241a4841600
132039205ca5
1410759044a4
158575999ac
hex4fe026e20

21441441312 has 84 divisors (see below), whose sum is σ = 63290372670. Its totient is φ = 7147139328.

The previous prime is 21441441289. The next prime is 21441441367. The reversal of 21441441312 is 21314414412.

21441441312 is a `hidden beast` number, since 214 + 4 + 1 + 441 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16158477456 + 5282963856 = 127116^2 + 72684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 436237 + ... + 482892.

Almost surely, 221441441312 is an apocalyptic number.

It is an amenable number.

21441441312 is an abundant number, since it is smaller than the sum of its proper divisors (41848931358).

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

21441441312 is an frugal number, since it uses more digits than its factorization.

21441441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919157 (or 919134 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21441441312 its reverse (21314414412), we get a palindrome (42755855724).

The spelling of 21441441312 in words is "twenty-one billion, four hundred forty-one million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 919129 1838258 2757387 3676516 5514774 7353032 8272161 11029548 14706064 16544322 22059096 24816483 29412128 33088644 44118192 49632966 66177288 74449449 88236384 99265932 132354576 148898898 198531864 223348347 264709152 297797796 397063728 446696694 595595592 670045041 794127456 893393388 1191191184 1340090082 1786786776 2382382368 2680180164 3573573552 5360360328 7147147104 10720720656 21441441312