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9942482944 = 214192412
BaseRepresentation
bin10010100001001111…
…00100000000000000
3221122220112110120001
421100213210000000
5130330233423234
64322325525344
7501245465512
oct112047440000
927586473501
109942482944
1142422aa659
121b15873854
13c25acc704
146a466dbb2
153d2cead14
hex2509e4000

9942482944 has 135 divisors (see below), whose sum is σ = 21510323121. Its totient is φ = 4594728960.

The previous prime is 9942482939. The next prime is 9942482947. The reversal of 9942482944 is 4492842499.

It is a happy number.

The square root of 9942482944 is 99712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 479084544 + 9463398400 = 21888^2 + 97280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9942482947) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 242499564 + ... + 242499604.

Almost surely, 29942482944 is an apocalyptic number.

9942482944 is the 99712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942482944

9942482944 is an abundant number, since it is smaller than the sum of its proper divisors (11567840177).

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

9942482944 is an frugal number, since it uses more digits than its factorization.

9942482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 62 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The cubic root of 9942482944 is about 2150.2961873543.

The spelling of 9942482944 in words is "nine billion, nine hundred forty-two million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 361 512 608 656 722 779 1024 1216 1312 1444 1558 1681 2048 2432 2624 2888 3116 3362 4096 4864 5248 5776 6232 6724 8192 9728 10496 11552 12464 13448 14801 16384 19456 20992 23104 24928 26896 29602 31939 38912 41984 46208 49856 53792 59204 63878 77824 83968 92416 99712 107584 118408 127756 155648 167936 184832 199424 215168 236816 255512 311296 335872 369664 398848 430336 473632 511024 606841 671744 739328 797696 860672 947264 1022048 1213682 1478656 1595392 1721344 1894528 2044096 2427364 2957312 3190784 3442688 3789056 4088192 4854728 5914624 6381568 6885376 7578112 8176384 9709456 12763136 13770752 15156224 16352768 19418912 27541504 30312448 32705536 38837824 60624896 65411072 77675648 121249792 130822144 155351296 242499584 261644288 310702592 523288576 621405184 1242810368 2485620736 4971241472 9942482944