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3141445340 = 2251123226993
BaseRepresentation
bin1011101100111110…
…1010011011011100
322002221011221212102
42323033222123130
522413202222330
61235420024232
7140563562525
oct27317523334
98087157772
103141445340
11137229a420
12738092078
133b0aa96c7
1421b30584c
15135bd3945
hexbb3ea6dc

3141445340 has 72 divisors (see below), whose sum is σ = 7523551728. Its totient is φ = 1092636160.

The previous prime is 3141445327. The next prime is 3141445343. The reversal of 3141445340 is 435441413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141445343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102884 + ... + 129876.

It is an arithmetic number, because the mean of its divisors is an integer number (104493774).

Almost surely, 23141445340 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 3141445340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761775864).

3141445340 is an abundant number, since it is smaller than the sum of its proper divisors (4382106388).

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

3141445340 is a wasteful number, since it uses less digits than its factorization.

3141445340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27059 (or 27034 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 3141445340 is about 56048.5980199327. The cubic root of 3141445340 is about 1464.5689949627.

Adding to 3141445340 its reverse (435441413), we get a palindrome (3576886753).

The spelling of 3141445340 in words is "three billion, one hundred forty-one million, four hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 529 1012 1058 1265 2116 2530 2645 5060 5290 5819 10580 11638 23276 26993 29095 53986 58190 107972 116380 134965 269930 296923 539860 593846 620839 1187692 1241678 1484615 2483356 2969230 3104195 5938460 6208390 6829229 12416780 13658458 14279297 27316916 28558594 34146145 57117188 68292290 71396485 136584580 142792970 157072267 285585940 314144534 628289068 785361335 1570722670 3141445340