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3140301400 = 23521672563
BaseRepresentation
bin1011101100101101…
…0011001001011000
322002212000211200021
42323023103021120
522412404121100
61235335320224
7140551056445
oct27313231130
98085024607
103140301400
111371688a15
12737820074
133b0798b12
1421b0c89cc
15135a59a1a
hexbb2d3258

3140301400 has 72 divisors (see below), whose sum is σ = 7358228820. Its totient is φ = 1246381120.

The previous prime is 3140301379. The next prime is 3140301413. The reversal of 3140301400 is 41030413.

3140301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31403014002 = 19722985765683920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5577519 + ... + 5578081.

Almost surely, 23140301400 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 3140301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679114410).

3140301400 is an abundant number, since it is smaller than the sum of its proper divisors (4217927420).

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

3140301400 is a wasteful number, since it uses less digits than its factorization.

3140301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3140301400 is about 56038.3921967788. The cubic root of 3140301400 is about 1464.3912018053.

Adding to 3140301400 its reverse (41030413), we get a palindrome (3181331813).

The spelling of 3140301400 in words is "three billion, one hundred forty million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 563 668 835 1126 1336 1670 2252 2815 3340 4175 4504 5630 6680 8350 11260 14075 16700 22520 27889 28150 33400 55778 56300 94021 111556 112600 139445 188042 223112 278890 376084 470105 557780 697225 752168 940210 1115560 1394450 1880420 2350525 2788900 3760840 4701050 5577800 9402100 15701507 18804200 31403014 62806028 78507535 125612056 157015070 314030140 392537675 628060280 785075350 1570150700 3140301400