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7924343230441 = 112192134692
BaseRepresentation
bin111001101010000011110…
…1010011100111111101001
31001001120010002211021222001
41303110013222130333221
52014313023331333231
624504220520531001
71445341420042111
oct163240752347751
931046102737861
107924343230441
112585771191500
12a7b95a620a61
134563545368b1
141d577c682041
15db1e4e19b61
hex73507a9cfe9

7924343230441 has 27 divisors (see below), whose sum is σ = 9193472211063. Its totient is φ = 6824286509040.

The previous prime is 7924343230423. The next prime is 7924343230493. The reversal of 7924343230441 is 1440323434297.

It is a happy number.

The square root of 7924343230441 is 2815021.

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., 5030057642841 + 2894285587600 = 2242779^2 + 1701260^2 .

It is not a de Polignac number, because 7924343230441 - 25 = 7924343230409 is a prime.

It is a super-2 number, since 2×79243432304412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7924343230391 and 7924343230400.

It is not an unprimeable number, because it can be changed into a prime (7924343236441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588332655 + ... + 588346123.

Almost surely, 27924343230441 is an apocalyptic number.

7924343230441 is the 2815021-st square number.

7924343230441 is the 1407511-st centered octagonal number.

It is an amenable number.

7924343230441 is a deficient number, since it is larger than the sum of its proper divisors (1269128980622).

7924343230441 is an frugal number, since it uses more digits than its factorization.

7924343230441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26998 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 7924343230441 in words is "seven trillion, nine hundred twenty-four billion, three hundred forty-three million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 11 19 121 209 361 2299 3971 13469 43681 148159 255911 1629749 2815021 4862309 30965231 53485399 181413961 588339389 1995553571 3446865259 21951089281 37915517849 65490439921 417070696339 720394839131 7924343230441