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14433309396430 = 251719101193229237
BaseRepresentation
bin1101001000001000010001…
…0001111000110111001110
31220002210220010222222120121
43102002010101320313032
53342433404201141210
650410323143135154
73016525601426401
oct322020421706716
956083803888517
1014433309396430
11466514a973591
1217513321444ba
13809094479602
1437c80c3bdd38
151a069bc2c6da
hexd2084478dce

14433309396430 has 128 divisors (see below), whose sum is σ = 29394326805120. Its totient is φ = 5070333542400.

The previous prime is 14433309396391. The next prime is 14433309396433. The reversal of 14433309396430 is 3469390333441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433309396433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62847772 + ... + 63077008.

It is an arithmetic number, because the mean of its divisors is an integer number (229643178165).

Almost surely, 214433309396430 is an apocalyptic number.

14433309396430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14433309396430 is an abundant number, since it is smaller than the sum of its proper divisors (14961017408690).

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

14433309396430 is a wasteful number, since it uses less digits than its factorization.

14433309396430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229574.

The product of its (nonzero) digits is 7558272, while the sum is 52.

The spelling of 14433309396430 in words is "fourteen trillion, four hundred thirty-three billion, three hundred nine million, three hundred ninety-six thousand, four hundred thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 101 170 190 193 202 323 386 505 646 965 1010 1615 1717 1919 1930 3230 3281 3434 3667 3838 6562 7334 8585 9595 16405 17170 18335 19190 19493 32623 32810 36670 38986 62339 65246 97465 124678 163115 194930 229237 311695 326230 331381 370367 458474 623390 662762 740734 1146185 1656905 1851835 2292370 3313810 3703670 3897029 4355503 6296239 7794058 8711006 12592478 19485145 21777515 23152937 31481195 38970290 43555030 44242741 46305874 62962390 74043551 88485482 115764685 148087102 221213705 231529370 370217755 393599929 439905803 442427410 740435510 752126597 787199858 840612079 879811606 1504253194 1681224158 1967999645 2199529015 3760632985 3935999290 4203060395 4399058030 4468516841 7478398651 7521265970 8406120790 8937033682 14290405343 14956797302 22342584205 28580810686 37391993255 44685168410 71452026715 74783986510 75964786297 84901819979 142904053430 151929572594 169803639958 379823931485 424509099895 759647862970 849018199790 1443330939643 2886661879286 7216654698215 14433309396430