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43430907385369 = 72232409332
BaseRepresentation
bin10011110000000000010111…
…10011101001011000011001
312200202221202121110111212001
421320000023303221120121
521143032444242312434
6232211514452321001
712101531241456100
oct1170001363513031
9180687677414761
1043430907385369
1112924a42a83239
124a5524b013161
131b30694aabbba
14aa20d22dd037
15504b0e46d114
hex27800bce9619

43430907385369 has 27 divisors (see below), whose sum is σ = 52815056404383. Its totient is φ = 35607079004112.

The previous prime is 43430907385297. The next prime is 43430907385427. The reversal of 43430907385369 is 96358370903434.

It is a happy number.

The square root of 43430907385369 is 6590213.

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., 12234080175625 + 31196827209744 = 3497725^2 + 5585412^2 .

It is not a de Polignac number, because 43430907385369 - 219 = 43430906861081 is a prime.

It is a super-2 number, since 2×434309073853692 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43430907385369.

It is not an unprimeable number, because it can be changed into a prime (43430907385069) 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, 1061003827 + ... + 1061044759.

Almost surely, 243430907385369 is an apocalyptic number.

43430907385369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

43430907385369 is the 6590213-rd square number.

43430907385369 is the 3295107-th centered octagonal number.

It is an amenable number.

43430907385369 is a deficient number, since it is larger than the sum of its proper divisors (9384149019014).

43430907385369 is an frugal number, since it uses more digits than its factorization.

43430907385369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81926 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 64.

The spelling of 43430907385369 in words is "forty-three trillion, four hundred thirty billion, nine hundred seven million, three hundred eighty-five thousand, three hundred sixty-nine".

Divisors: 1 7 23 49 161 529 1127 3703 25921 40933 286531 941459 2005717 6590213 21653557 46131491 151574899 1061024293 1675510489 11728573423 38536741247 82100013961 269757188729 886345048681 1888300321103 6204415340767 43430907385369