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21343030144 = 271910980513
BaseRepresentation
bin10011111000001001…
…001100101110000000
32001002102200021020221
4103320021030232000
5322202303431034
613445503112424
71353620522452
oct237011145600
961072607227
1021343030144
119062647497
1241778a2714
1320219ca727
1410668082d2
1584db0abb4
hex4f824cb80

21343030144 has 64 divisors (see below), whose sum is σ = 45168354000. Its totient is φ = 10016980992.

The previous prime is 21343030141. The next prime is 21343030147. The reversal of 21343030144 is 44103034312.

It is an interprime number because it is at equal distance from previous prime (21343030141) and next prime (21343030147).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343030141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224832 + ... + 305344.

Almost surely, 221343030144 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 21343030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584177000).

21343030144 is an abundant number, since it is smaller than the sum of its proper divisors (23825323856).

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

21343030144 is a wasteful number, since it uses less digits than its factorization.

21343030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80655 (or 80643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21343030144 its reverse (44103034312), we get a palindrome (65446064456).

The spelling of 21343030144 in words is "twenty-one billion, three hundred forty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 109 128 152 218 304 436 608 872 1216 1744 2071 2432 3488 4142 6976 8284 13952 16568 33136 66272 80513 132544 161026 265088 322052 644104 1288208 1529747 2576416 3059494 5152832 6118988 8775917 10305664 12237976 17551834 24475952 35103668 48951904 70207336 97903808 140414672 166742423 195807616 280829344 333484846 561658688 666969692 1123317376 1333939384 2667878768 5335757536 10671515072 21343030144