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3428891429145 = 357313192698183
BaseRepresentation
bin110001111001011001110…
…110110000100100011001
3110010210120100011022111020
4301321121312300210121
5422134332201213040
611143113323153053
7502505061153000
oct61713166604431
913123510138436
103428891429145
111102203903446
12474660975789
131bb45c971440
14bbd601b3c37
155e2d778acd0
hex31e59db0919

3428891429145 has 128 divisors (see below), whose sum is σ = 7252718592000. Its totient is φ = 1370762797824.

The previous prime is 3428891429143. The next prime is 3428891429189. The reversal of 3428891429145 is 5419241988243.

3428891429145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3428891429145 - 21 = 3428891429143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3428891429143) 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, 78277 + ... + 2619906.

It is an arithmetic number, because the mean of its divisors is an integer number (56661864000).

Almost surely, 23428891429145 is an apocalyptic number.

3428891429145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3428891429145 is an abundant number, since it is smaller than the sum of its proper divisors (3823827162855).

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

3428891429145 is a wasteful number, since it uses less digits than its factorization.

3428891429145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698244 (or 2698230 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 3428891429145 in words is "three trillion, four hundred twenty-eight billion, eight hundred ninety-one million, four hundred twenty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 49 57 65 91 95 105 133 147 195 245 247 273 285 343 399 455 637 665 735 741 931 1029 1235 1365 1715 1729 1911 1995 2793 3185 3705 4459 4655 5145 5187 6517 8645 9555 12103 13377 13965 19551 22295 25935 32585 36309 60515 66885 84721 97755 181545 254163 423605 1270815 2698183 8094549 13490915 18887281 35076379 40472745 51265477 56661843 94436405 105229137 132210967 153796431 175381895 245534653 256327385 283309215 358858339 396632901 526145685 661054835 666451201 736603959 768982155 925476769 1076575017 1227673265 1718742571 1794291695 1983164505 1999353603 2512008373 2776430307 3332256005 3683019795 4627383845 4665158407 5156227713 5382875085 7536025119 8593712855 9996768015 12031197997 12560041865 13882151535 13995475221 17584058611 23325792035 25781138565 32656108849 36093593991 37680125595 52752175833 60155989985 69977376105 87920293055 97968326547 163280544245 180467969955 228592761943 263760879165 489841632735 685778285829 1142963809715 3428891429145