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14434343430 = 23513374721283
BaseRepresentation
bin11010111000101101…
…01001101000000110
31101020221202121202020
431130112221220012
5214030142442210
610344150024010
71020460615623
oct153426515006
941227677666
1014434343430
1161378a0951
12296a048006
1314905b6420
149ad05b34a
1559732c770
hex35c5a9a06

14434343430 has 128 divisors (see below), whose sum is σ = 39132592128. Its totient is φ = 3383327232.

The previous prime is 14434343419. The next prime is 14434343461. The reversal of 14434343430 is 3434343441.

It is a junction number, because it is equal to n+sod(n) for n = 14434343391 and 14434343400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667569 + ... + 688851.

It is an arithmetic number, because the mean of its divisors is an integer number (305723376).

Almost surely, 214434343430 is an apocalyptic number.

14434343430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434343430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566296064).

14434343430 is an abundant number, since it is smaller than the sum of its proper divisors (24698248698).

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

14434343430 is a wasteful number, since it uses less digits than its factorization.

14434343430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 14434343430 its reverse (3434343441), we get a palindrome (17868686871).

The spelling of 14434343430 in words is "fourteen billion, four hundred thirty-four million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 47 65 74 78 94 111 130 141 185 195 222 235 282 370 390 470 481 555 611 705 962 1110 1222 1410 1443 1739 1833 2405 2886 3055 3478 3666 4810 5217 6110 7215 8695 9165 10434 14430 17390 18330 21283 22607 26085 42566 45214 52170 63849 67821 106415 113035 127698 135642 212830 226070 276679 319245 339105 553358 638490 678210 787471 830037 1000301 1383395 1574942 1660074 2000602 2362413 2766790 3000903 3937355 4150185 4724826 5001505 6001806 7874710 8300370 10003010 10237123 11812065 13003913 15004515 20474246 23624130 26007826 30009030 30711369 37011137 39011739 51185615 61422738 65019565 74022274 78023478 102371230 111033411 130039130 153556845 185055685 195058695 222066822 307113690 370111370 390117390 481144781 555167055 962289562 1110334110 1443434343 2405723905 2886868686 4811447810 7217171715 14434343430