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3114241400 = 2352233121839
BaseRepresentation
bin1011100110011111…
…1000110101111000
322001000222212002002
42321213320311320
522334221211100
61233005000132
7140113420664
oct27147706570
98030885062
103114241400
1113589a9726
1272ab53048
133a82732ba
142178638a4
1513360d2d5
hexb99f8d78

3114241400 has 96 divisors (see below), whose sum is σ = 7799500800. Its totient is φ = 1153046400.

The previous prime is 3114241399. The next prime is 3114241433. The reversal of 3114241400 is 41424113.

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

It is a congruent number.

It is an unprimeable number.

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, 131681 + ... + 153519.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 23114241400 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 3114241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

3114241400 is an abundant number, since it is smaller than the sum of its proper divisors (4685259400).

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

3114241400 is a wasteful number, since it uses less digits than its factorization.

3114241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3114241400 is about 55805.3886286979. The cubic root of 3114241400 is about 1460.3291620382.

Adding to 3114241400 its reverse (41424113), we get a palindrome (3155665513).

The spelling of 3114241400 in words is "three billion, one hundred fourteen million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 310 460 575 620 713 775 920 1150 1240 1426 1550 2300 2852 3100 3565 4600 5704 6200 7130 14260 17825 21839 28520 35650 43678 71300 87356 109195 142600 174712 218390 436780 502297 545975 677009 873560 1004594 1091950 1354018 2009188 2183900 2511485 2708036 3385045 4018376 4367800 5022970 5416072 6770090 10045940 12557425 13540180 15571207 16925225 20091880 25114850 27080360 31142414 33850450 50229700 62284828 67700900 77856035 100459400 124569656 135401800 155712070 311424140 389280175 622848280 778560350 1557120700 3114241400