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21342010144 = 2571334721121
BaseRepresentation
bin10011111000000101…
…010011101100100000
32001002100202110002011
4103320011103230200
5322202023311034
613445425202304
71353606043630
oct237005235440
961070673064
1021342010144
119062010114
124177490394
132021731390
1410666206c0
1584d9a8864
hex4f8153b20

21342010144 has 96 divisors (see below), whose sum is σ = 51864817536. Its totient is φ = 8418263040.

The previous prime is 21342010141. The next prime is 21342010229. The reversal of 21342010144 is 44101024312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21342010141) 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, 999904 + ... + 1021024.

It is an arithmetic number, because the mean of its divisors is an integer number (540258516).

Almost surely, 221342010144 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 21342010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25932408768).

21342010144 is an abundant number, since it is smaller than the sum of its proper divisors (30522807392).

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

21342010144 is a wasteful number, since it uses less digits than its factorization.

21342010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 21490 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21342010144 its reverse (44101024312), we get a palindrome (65443034456).

The spelling of 21342010144 in words is "twenty-one billion, three hundred forty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 347 364 416 694 728 1388 1456 2429 2776 2912 4511 4858 5552 9022 9716 11104 18044 19432 21121 31577 36088 38864 42242 63154 72176 77728 84484 126308 144352 147847 168968 252616 274573 295694 337936 505232 549146 591388 675872 1010464 1098292 1182776 1922011 2196584 2365552 3844022 4393168 4731104 7328987 7688044 8786336 14657974 15376088 29315948 30752176 51302909 58631896 61504352 95276831 102605818 117263792 190553662 205211636 234527584 381107324 410423272 666937817 762214648 820846544 1333875634 1524429296 1641693088 2667751268 3048858592 5335502536 10671005072 21342010144