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21342014304 = 2531359289847
BaseRepresentation
bin10011111000000101…
…010100101101100000
32001002100202122210020
4103320011110231200
5322202023424204
613445425233440
71353606062022
oct237005245540
961070678706
1021342014304
119062013256
124177492880
132021733240
141066622012
1584d9a9bd9
hex4f8154b60

21342014304 has 96 divisors (see below), whose sum is σ = 61355024640. Its totient is φ = 6455450112.

The previous prime is 21342014303. The next prime is 21342014311. The reversal of 21342014304 is 40341024312.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342014303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71292 + ... + 218555.

It is an arithmetic number, because the mean of its divisors is an integer number (639114840).

Almost surely, 221342014304 is an apocalyptic number.

21342014304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21342014304 is an abundant number, since it is smaller than the sum of its proper divisors (40013010336).

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

21342014304 is a wasteful number, since it uses less digits than its factorization.

21342014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289932 (or 289924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21342014304 its reverse (40341024312), we get a palindrome (61683038616).

The spelling of 21342014304 in words is "twenty-one billion, three hundred forty-two million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 289847 579694 869541 1159388 1739082 2318776 3478164 3768011 4637552 6956328 7536022 9275104 11304033 13912656 15072044 17100973 22608066 27825312 30144088 34201946 45216132 51302919 60288176 68403892 90432264 102605838 120576352 136807784 180864528 205211676 222312649 273615568 361729056 410423352 444625298 547231136 666937947 820846704 889250596 1333875894 1641693408 1778501192 2667751788 3557002384 5335503576 7114004768 10671007152 21342014304