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34221470407744 = 26232317932
BaseRepresentation
bin1111100011111110011101…
…00101100101110001000000
311111011112121010000212101111
413301333032211211301000
513441141032411021434
6200441043152413104
710131263636661304
oct761771645456100
9144145533025344
1034221470407744
11a9a4275990a54
123a08425247194
1316130bc762519
14864484091d04
153e52a40c5964
hex1f1fce965c40

34221470407744 has 63 divisors (see below), whose sum is σ = 70991365964533. Its totient is φ = 16366275402752.

The previous prime is 34221470407723. The next prime is 34221470407769. The reversal of 34221470407744 is 44770407412243.

The square root of 34221470407744 is 5849912.

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., 25371369000000 + 8850101407744 = 5037000^2 + 2974912^2 .

It is a super-2 number, since 2×342214704077442 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1076367912 + ... + 1076399704.

Almost surely, 234221470407744 is an apocalyptic number.

34221470407744 is the 5849912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221470407744

34221470407744 is an abundant number, since it is smaller than the sum of its proper divisors (36769895556789).

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

34221470407744 is an frugal number, since it uses more digits than its factorization.

34221470407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63644 (or 31818 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 49.

Adding to 34221470407744 its reverse (44770407412243), we get a palindrome (78991877819987).

The spelling of 34221470407744 in words is "thirty-four trillion, two hundred twenty-one billion, four hundred seventy million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 31793 33856 63586 127172 254344 508688 731239 1017376 1462478 2034752 2924956 5849912 11699824 16818497 23399648 33636994 46799296 67273988 134547976 269095952 538191904 1010794849 1076383808 2021589698 4043179396 8086358792 16172717584 23248281527 32345435168 46496563054 64690870336 92993126108 185986252216 371972504432 534710475121 743945008864 1069420950242 1487890017728 2138841900484 4277683800968 8555367601936 17110735203872 34221470407744