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434430442125 = 33531371735431
BaseRepresentation
bin1100101001001100001…
…00100111101010001101
31112112100012112001102000
412110212010213222031
524104203143122000
6531324040022513
743246406554521
oct6244604475215
91475305461360
10434430442125
11158271728149
1270241a61a39
1331c74864714
1417052babd81
15b479471000
hex6526127a8d

434430442125 has 128 divisors (see below), whose sum is σ = 813903068160. Its totient is φ = 228633408000.

The previous prime is 434430442123. The next prime is 434430442133. The reversal of 434430442125 is 521244034434.

434430442125 is a `hidden beast` number, since 4 + 3 + 4 + 430 + 4 + 4 + 212 + 5 = 666.

It is not a de Polignac number, because 434430442125 - 21 = 434430442123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 434430442125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434430442123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79988160 + ... + 79993590.

It is an arithmetic number, because the mean of its divisors is an integer number (6358617720).

Almost surely, 2434430442125 is an apocalyptic number.

434430442125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434430442125 is a deficient number, since it is larger than the sum of its proper divisors (379472626035).

434430442125 is a wasteful number, since it uses less digits than its factorization.

434430442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 434430442125 its reverse (521244034434), we get a palindrome (955674476559).

The spelling of 434430442125 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 137 173 225 375 411 519 675 685 865 1125 1233 1557 2055 2595 3375 3425 3699 4325 4671 5431 6165 7785 10275 12975 16293 17125 18495 21625 23355 23701 27155 30825 38925 48879 51375 64875 71103 81465 92475 116775 118505 135775 146637 154125 194625 213309 244395 355515 407325 462375 583875 592525 639927 678875 733185 744047 939563 1066545 1221975 1777575 2036625 2232141 2818689 2962625 3199635 3665925 3720235 4697815 5332725 6109875 6696423 8456067 8887875 11160705 14093445 15998175 18329625 18601175 20089269 23489075 25368201 26663625 33482115 42280335 55803525 70467225 79990875 93005875 100446345 117445375 126841005 128720131 167410575 211401675 279017625 352336125 386160393 502231725 634205025 643600655 837052875 1057008375 1158481179 1930801965 2511158625 3171025125 3218003275 3475443537 5792405895 9654009825 16090016375 17377217685 28962029475 48270049125 86886088425 144810147375 434430442125