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3141443430 = 23251710212011
BaseRepresentation
bin1011101100111110…
…1001111101100110
322002221011212020200
42323033221331212
522413202142210
61235420011330
7140563554126
oct27317517546
98087155220
103141443430
111372298a44
12738090b46
133b0aa8888
1421b304c86
15135bd30c0
hexbb3e9f66

3141443430 has 96 divisors (see below), whose sum is σ = 8660983968. Its totient is φ = 787276800.

The previous prime is 3141443429. The next prime is 3141443441. The reversal of 3141443430 is 343441413.

3141443430 is a `hidden beast` number, since 314 + 1 + 4 + 4 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3141443394 and 3141443403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561125 + ... + 1563135.

It is an arithmetic number, because the mean of its divisors is an integer number (90218583).

Almost surely, 23141443430 is an apocalyptic number.

3141443430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141443430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330491984).

3141443430 is an abundant number, since it is smaller than the sum of its proper divisors (5519540538).

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

3141443430 is a wasteful number, since it uses less digits than its factorization.

3141443430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3141443430 is about 56048.5809811453. The cubic root of 3141443430 is about 1464.5686981431.

Adding to 3141443430 its reverse (343441413), we get a palindrome (3484884843).

The spelling of 3141443430 in words is "three billion, one hundred forty-one million, four hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1021 1530 2011 2042 3063 4022 5105 6033 6126 9189 10055 10210 12066 15315 17357 18099 18378 20110 30165 30630 34187 34714 36198 45945 52071 60330 68374 86785 90495 91890 102561 104142 156213 170935 173570 180990 205122 260355 307683 312426 341870 512805 520710 615366 781065 1025610 1538415 1562130 2053231 3076830 4106462 6159693 10266155 12319386 18479079 20532310 30798465 34904927 36958158 61596930 69809854 92395395 104714781 174524635 184790790 209429562 314144343 349049270 523573905 628288686 1047147810 1570721715 3141443430