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3140401000 = 235311714021
BaseRepresentation
bin1011101100101110…
…1011011101101000
322002212012220022011
42323023223131220
522412420313000
61235341405304
7140551653022
oct27313533550
98085186264
103140401000
111371746830
12737869834
133b0802259
1421b113012
15135a792ba
hexbb2eb768

3140401000 has 128 divisors (see below), whose sum is σ = 8131518720. Its totient is φ = 1125600000.

The previous prime is 3140400971. The next prime is 3140401001. The reversal of 3140401000 is 1040413.

It is not an unprimeable number, because it can be changed into a prime (3140401001) 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 31 ways as a sum of consecutive naturals, for example, 778990 + ... + 783010.

It is an arithmetic number, because the mean of its divisors is an integer number (63527490).

Almost surely, 23140401000 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 3140401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065759360).

3140401000 is an abundant number, since it is smaller than the sum of its proper divisors (4991117720).

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

3140401000 is a wasteful number, since it uses less digits than its factorization.

3140401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3140401000 is about 56039.2808661924. The cubic root of 3140401000 is about 1464.4066835275.

Adding to 3140401000 its reverse (1040413), we get a palindrome (3141441413).

The spelling of 3140401000 in words is "three billion, one hundred forty million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 125 142 200 220 250 275 284 355 440 500 550 568 710 781 1000 1100 1375 1420 1562 1775 2200 2750 2840 3124 3550 3905 4021 5500 6248 7100 7810 8042 8875 11000 14200 15620 16084 17750 19525 20105 31240 32168 35500 39050 40210 44231 71000 78100 80420 88462 97625 100525 156200 160840 176924 195250 201050 221155 285491 353848 390500 402100 442310 502625 570982 781000 804200 884620 1005250 1105775 1141964 1427455 1769240 2010500 2211550 2283928 2854910 3140401 4021000 4423100 5528875 5709820 6280802 7137275 8846200 11057750 11419640 12561604 14274550 15702005 22115500 25123208 28549100 31404010 35686375 44231000 57098200 62808020 71372750 78510025 125616040 142745500 157020050 285491000 314040100 392550125 628080200 785100250 1570200500 3140401000