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14143215000400 = 245267657780239
BaseRepresentation
bin1100110111001111100101…
…0011100101101101010000
31212002002002222012202221121
43031303321103211231100
53323210301020003100
650025145301332024
72656546023643633
oct315637123455520
955062088182847
1014143215000400
114563116178152
121705072107014
137b7912907335
1436c76ca6bc1a
15197d6ded251a
hexcdcf94e5b50

14143215000400 has 120 divisors (see below), whose sum is σ = 34491897714560. Its totient is φ = 5571932129280.

The previous prime is 14143215000323. The next prime is 14143215000413. The reversal of 14143215000400 is 400051234141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176223481 + ... + 176303719.

Almost surely, 214143215000400 is an apocalyptic number.

14143215000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14143215000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245948857280).

14143215000400 is an abundant number, since it is smaller than the sum of its proper divisors (20348682714160).

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

14143215000400 is a wasteful number, since it uses less digits than its factorization.

14143215000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86901 (or 86890 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14143215000400 its reverse (400051234141), we get a palindrome (14543266234541).

The spelling of 14143215000400 in words is "fourteen trillion, one hundred forty-three billion, two hundred fifteen million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 1072 1340 1675 2680 3350 5360 6577 6700 13154 13400 26308 26800 32885 52616 65770 80239 105232 131540 160478 164425 263080 320956 328850 401195 440659 526160 641912 657700 802390 881318 1283824 1315400 1604780 1762636 2005975 2203295 2630800 3209560 3525272 4011950 4406590 5376013 6419120 7050544 8023900 8813180 10752026 11016475 16047800 17626360 21504052 22032950 26880065 32095600 35252720 43008104 44065900 53760130 86016208 88131800 107520260 134400325 176263600 215040520 268800650 430081040 527731903 537601300 1055463806 1075202600 2110927612 2150405200 2638659515 4221855224 5277319030 8443710448 10554638060 13193297575 21109276120 26386595150 35358037501 42218552240 52773190300 70716075002 105546380600 141432150004 176790187505 211092761200 282864300008 353580375010 565728600016 707160750020 883950937525 1414321500040 1767901875050 2828643000080 3535803750100 7071607500200 14143215000400