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3141213140 = 2251325471699
BaseRepresentation
bin1011101100111011…
…0001101111010100
322002220202011100102
42323032301233110
522413122310030
61235411033232
7140561604542
oct27316615724
98086664312
103141213140
111372150a1a
12737b9b818
133b0a27b00
1421b284d92
15135b89c45
hexbb3b1bd4

3141213140 has 72 divisors (see below), whose sum is σ = 7160277600. Its totient is φ = 1157030784.

The previous prime is 3141213113. The next prime is 3141213143. The reversal of 3141213140 is 413121413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141213143) 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 23 ways as a sum of consecutive naturals, for example, 1848011 + ... + 1849709.

It is an arithmetic number, because the mean of its divisors is an integer number (99448300).

Almost surely, 23141213140 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 3141213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580138800).

3141213140 is an abundant number, since it is smaller than the sum of its proper divisors (4019064460).

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

3141213140 is a wasteful number, since it uses less digits than its factorization.

3141213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3141213140 is about 56046.5265649888. The cubic root of 3141213140 is about 1464.5329095240.

Adding to 3141213140 its reverse (413121413), we get a palindrome (3554334553).

The spelling of 3141213140 in words is "three billion, one hundred forty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 547 676 845 1094 1690 1699 2188 2735 3380 3398 5470 6796 7111 8495 10940 14222 16990 22087 28444 33980 35555 44174 71110 88348 92443 110435 142220 184886 220870 287131 369772 441740 462215 574262 924430 929353 1148524 1435655 1848860 1858706 2871310 3717412 4646765 5742620 9293530 12081589 18587060 24163178 48326356 60407945 120815890 157060657 241631780 314121314 628242628 785303285 1570606570 3141213140