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14132135000 = 23542997463
BaseRepresentation
bin11010010100101011…
…10100010001011000
31100110220002211201102
431022111310101120
5212420311310000
610254152410532
71010131110524
oct151225642130
940426084642
1014132135000
115aa2249215
1228a49a6a48
131442ac4379
14980c70d84
1557aa343d5
hex34a574458

14132135000 has 80 divisors (see below), whose sum is σ = 34253722800. Its totient is φ = 5457872000.

The previous prime is 14132134999. The next prime is 14132135009. The reversal of 14132135000 is 53123141.

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 (14132135009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96269 + ... + 193731.

It is an arithmetic number, because the mean of its divisors is an integer number (428171535).

Almost surely, 214132135000 is an apocalyptic number.

14132135000 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 14132135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126861400).

14132135000 is an abundant number, since it is smaller than the sum of its proper divisors (20121587800).

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

14132135000 is an equidigital number, since it uses as much as digits as its factorization.

14132135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97518 (or 97499 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 14132135000 its reverse (53123141), we get a palindrome (14185258141).

The spelling of 14132135000 in words is "fourteen billion, one hundred thirty-two million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3625 5000 5800 7250 14500 18125 29000 36250 72500 97463 145000 194926 389852 487315 779704 974630 1949260 2436575 2826427 3898520 4873150 5652854 9746300 11305708 12182875 14132135 19492600 22611416 24365750 28264270 48731500 56528540 60914375 70660675 97463000 113057080 121828750 141321350 243657500 282642700 353303375 487315000 565285400 706606750 1413213500 1766516875 2826427000 3533033750 7066067500 14132135000