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430023323444 = 2211213557122701
BaseRepresentation
bin1100100000111110110…
…00110010111100110100
31112002222001202020010012
412100133120302330310
524021141432322234
6525314444115352
743032243640151
oct6203730627464
91462861666105
10430023323444
1115640aa56700
126b411b35b58
13317217ab4a0
1416b5575d228
15b2bc5cd0ce
hex641f632f34

430023323444 has 72 divisors (see below), whose sum is σ = 892408210344. Its totient is φ = 180103968000.

The previous prime is 430023323413. The next prime is 430023323447. The reversal of 430023323444 is 444323320034.

It can be written as a sum of positive squares in 4 ways, for example, as 28853099044 + 401170224400 = 169862^2 + 633380^2 .

It is a super-2 number, since 2×4300233234442 (a number of 24 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 430023323444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430023323447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3443294 + ... + 3565994.

It is an arithmetic number, because the mean of its divisors is an integer number (12394558477).

Almost surely, 2430023323444 is an apocalyptic number.

430023323444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

430023323444 is an abundant number, since it is smaller than the sum of its proper divisors (462384886900).

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

430023323444 is a wasteful number, since it uses less digits than its factorization.

430023323444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123297 (or 123284 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 430023323444 its reverse (444323320034), we get a palindrome (874346643478).

The spelling of 430023323444 in words is "four hundred thirty billion, twenty-three million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 557 572 1114 1573 2228 3146 6127 6292 7241 12254 14482 24508 28964 67397 79651 122701 134794 159302 245402 269588 318604 490804 876161 1349711 1595113 1752322 2699422 3190226 3504644 5398844 6380452 14846821 17546243 29693642 35092486 59387284 68344457 70184972 136688914 193008673 273377828 386017346 751789027 772034692 888477941 1503578054 1776955882 3007156108 3553911764 8269679297 9773257351 16539358594 19546514702 33078717188 39093029404 107505830861 215011661722 430023323444