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14130434000 = 245317676203
BaseRepresentation
bin11010010100011110…
…10100111111010000
31100110202220102101102
431022033110333100
5212414342342000
610254052123532
71010110464404
oct151217247720
940422812342
1014130434000
115aa1297231
1228a43065a8
13144264a067
1498094b104
1557a7ea3d5
hex34a3d4fd0

14130434000 has 160 divisors (see below), whose sum is σ = 36723113856. Its totient is φ = 5239449600.

The previous prime is 14130433991. The next prime is 14130434009. The reversal of 14130434000 is 43403141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14130433991) and next prime (14130434009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130434009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274899 + ... + 2281101.

Almost surely, 214130434000 is an apocalyptic number.

14130434000 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 14130434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361556928).

14130434000 is an abundant number, since it is smaller than the sum of its proper divisors (22592679856).

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

14130434000 is a wasteful number, since it uses less digits than its factorization.

14130434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14130434000 its reverse (43403141), we get a palindrome (14173837141).

The spelling of 14130434000 in words is "fourteen billion, one hundred thirty million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 67 68 80 85 100 125 134 136 170 200 250 268 272 335 340 400 425 500 536 670 680 850 1000 1072 1139 1340 1360 1675 1700 2000 2125 2278 2680 3350 3400 4250 4556 5360 5695 6203 6700 6800 8375 8500 9112 11390 12406 13400 16750 17000 18224 22780 24812 26800 28475 31015 33500 34000 45560 49624 56950 62030 67000 91120 99248 105451 113900 124060 134000 142375 155075 210902 227800 248120 284750 310150 415601 421804 455600 496240 527255 569500 620300 775375 831202 843608 1054510 1139000 1240600 1550750 1662404 1687216 2078005 2109020 2278000 2481200 2636275 3101500 3324808 4156010 4218040 5272550 6203000 6649616 7065217 8312020 8436080 10390025 10545100 12406000 13181375 14130434 16624040 20780050 21090200 26362750 28260868 33248080 35326085 41560100 42180400 51950125 52725500 56521736 70652170 83120200 103900250 105451000 113043472 141304340 166240400 176630425 207800500 210902000 282608680 353260850 415601000 565217360 706521700 831202000 883152125 1413043400 1766304250 2826086800 3532608500 7065217000 14130434000