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3013141400 = 23521031071367
BaseRepresentation
bin1011001110011000…
…1110001110011000
321202222202102221122
42303212032032120
522132331011100
61214554024412
7134445164543
oct26346161630
97688672848
103013141400
111306926805
12701118108
13390335c09
1420826785a
151297dc985
hexb398e398

3013141400 has 96 divisors (see below), whose sum is σ = 7144899840. Its totient is φ = 1181535360.

The previous prime is 3013141393. The next prime is 3013141409. The reversal of 3013141400 is 41413103.

3013141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013141409) 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, 2203517 + ... + 2204883.

It is an arithmetic number, because the mean of its divisors is an integer number (74426040).

Almost surely, 23013141400 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 3013141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

3013141400 is an abundant number, since it is smaller than the sum of its proper divisors (4131758440).

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

3013141400 is a wasteful number, since it uses less digits than its factorization.

3013141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3013141400 is about 54892.0886831609. The cubic root of 3013141400 is about 1444.3524115371.

Adding to 3013141400 its reverse (41413103), we get a palindrome (3054554503).

The spelling of 3013141400 in words is "three billion, thirteen million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 107 200 206 214 412 428 515 535 824 856 1030 1070 1367 2060 2140 2575 2675 2734 4120 4280 5150 5350 5468 6835 10300 10700 10936 11021 13670 20600 21400 22042 27340 34175 44084 54680 55105 68350 88168 110210 136700 140801 146269 220420 273400 275525 281602 292538 440840 551050 563204 585076 704005 731345 1102100 1126408 1170152 1408010 1462690 2204200 2816020 2925380 3520025 3656725 5632040 5850760 7040050 7313450 14080100 14626900 15065707 28160200 29253800 30131414 60262828 75328535 120525656 150657070 301314140 376642675 602628280 753285350 1506570700 3013141400