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14135420000 = 25541354367
BaseRepresentation
bin11010010101000100…
…10110010001100000
31100111010021201220002
431022202112101200
5212422131420000
610254351035132
71010201042012
oct151242262140
940433251802
1014135420000
115aa4092299
1228a5b0baa8
1314436a4660
149814881b2
1557ae828d5
hex34a896460

14135420000 has 120 divisors (see below), whose sum is σ = 37450961856. Its totient is φ = 5219136000.

The previous prime is 14135419979. The next prime is 14135420009. The reversal of 14135420000 is 2453141.

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 (14135420009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232817 + ... + 287183.

Almost surely, 214135420000 is an apocalyptic number.

14135420000 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 14135420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725480928).

14135420000 is an abundant number, since it is smaller than the sum of its proper divisors (23315541856).

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

14135420000 is an equidigital number, since it uses as much as digits as its factorization.

14135420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54410 (or 54387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14135420000 its reverse (2453141), we get a palindrome (14137873141).

The spelling of 14135420000 in words is "fourteen billion, one hundred thirty-five million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 54367 65000 108734 130000 217468 260000 271835 434936 543670 706771 869872 1087340 1359175 1413542 1739744 2174680 2718350 2827084 3533855 4349360 5436700 5654168 6795875 7067710 8698720 10873400 11308336 13591750 14135420 17669275 21746800 22616672 27183500 28270840 33979375 35338550 43493600 54367000 56541680 67958750 70677100 88346375 108734000 113083360 135917500 141354200 176692750 217468000 271835000 282708400 353385500 441731875 543670000 565416800 706771000 883463750 1087340000 1413542000 1766927500 2827084000 3533855000 7067710000 14135420000