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3141440336 = 241741436551
BaseRepresentation
bin1011101100111110…
…1001001101010000
322002221011201000002
42323033221031100
522413202042321
61235415545132
7140563542116
oct27317511520
98087151002
103141440336
111372296691
1273808b1a8
133b0aa7348
1421b303ab6
15135bd220b
hexbb3e9350

3141440336 has 80 divisors (see below), whose sum is σ = 6756317568. Its totient is φ = 1408512000.

The previous prime is 3141440333. The next prime is 3141440371. The reversal of 3141440336 is 6330441413.

It is a junction number, because it is equal to n+sod(n) for n = 3141440299 and 3141440308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141440333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476261 + ... + 482811.

Almost surely, 23141440336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378158784).

3141440336 is an abundant number, since it is smaller than the sum of its proper divisors (3614877232).

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

3141440336 is a wasteful number, since it uses less digits than its factorization.

3141440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3141440336 is about 56048.5533800829. The cubic root of 3141440336 is about 1464.5682173262.

Adding to 3141440336 its reverse (6330441413), we get a palindrome (9471881749).

The spelling of 3141440336 in words is "three billion, one hundred forty-one million, four hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 41 43 68 82 86 136 164 172 272 328 344 656 688 697 731 1394 1462 1763 2788 2924 3526 5576 5848 6551 7052 11152 11696 13102 14104 26204 28208 29971 52408 59942 104816 111367 119884 222734 239768 268591 281693 445468 479536 537182 563386 890936 1074364 1126772 1781872 2148728 2253544 4297456 4507088 4566047 4788781 9132094 9577562 11549413 18264188 19155124 23098826 36528376 38310248 46197652 73056752 76620496 92395304 184790608 196340021 392680042 785360084 1570720168 3141440336