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1413420000 = 2535423557
BaseRepresentation
bin101010000111111…
…0001001111100000
310122111121011201220
41110033301033200
510343313420000
6352130255040
750011605006
oct12417611740
93574534656
101413420000
11665925403
12335427480
13196a99bc5
14d5a06a76
15841461a0
hex543f13e0

1413420000 has 120 divisors (see below), whose sum is σ = 4636497096. Its totient is φ = 376896000.

The previous prime is 1413419999. The next prime is 1413420023. The reversal of 1413420000 is 243141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48222 + ... + 71778.

Almost surely, 21413420000 is an apocalyptic number.

1413420000 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 1413420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318248548).

1413420000 is an abundant number, since it is smaller than the sum of its proper divisors (3223077096).

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

1413420000 is an equidigital number, since it uses as much as digits as its factorization.

1413420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590 (or 23567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1413420000 is about 37595.4784515372. The cubic root of 1413420000 is about 1122.2520587361.

Adding to 1413420000 its reverse (243141), we get a palindrome (1413663141).

The spelling of 1413420000 in words is "one billion, four hundred thirteen million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 23557 30000 47114 60000 70671 94228 117785 141342 188456 235570 282684 353355 376912 471140 565368 588925 706710 753824 942280 1130736 1177850 1413420 1766775 1884560 2261472 2355700 2826840 2944625 3533550 3769120 4711400 5653680 5889250 7067100 8833875 9422800 11307360 11778500 14134200 14723125 17667750 18845600 23557000 28268400 29446250 35335500 44169375 47114000 56536800 58892500 70671000 88338750 94228000 117785000 141342000 176677500 235570000 282684000 353355000 471140000 706710000 1413420000