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1413240000 = 2635411777
BaseRepresentation
bin101010000111100…
…0101010011000000
310122111021000211020
41110033011103000
510343242140000
6352122345440
750010225144
oct12417052300
93574230736
101413240000
11665812147
1233535b280
13196a35cb3
14d599b224
158410cba0
hex543c54c0

1413240000 has 140 divisors (see below), whose sum is σ = 4672897944. Its totient is φ = 376832000.

The previous prime is 1413239999. The next prime is 1413240011. The reversal of 1413240000 is 423141.

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

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, 114112 + ... + 125888.

Almost surely, 21413240000 is an apocalyptic number.

1413240000 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 1413240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336448972).

1413240000 is an abundant number, since it is smaller than the sum of its proper divisors (3259657944).

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

1413240000 is an equidigital number, since it uses as much as digits as its factorization.

1413240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11787 counting only the distinct ones).

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

The square root of 1413240000 is about 37593.0844704182. The cubic root of 1413240000 is about 1122.2044168589.

Adding to 1413240000 its reverse (423141), we get a palindrome (1413663141).

The spelling of 1413240000 in words is "one billion, four hundred thirteen million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 11777 12000 15000 20000 23554 24000 30000 35331 40000 47108 58885 60000 70662 94216 117770 120000 141324 176655 188432 235540 282648 294425 353310 376864 471080 565296 588850 706620 753728 883275 942160 1130592 1177700 1413240 1472125 1766550 1884320 2261184 2355400 2826480 2944250 3533100 3768640 4416375 4710800 5652960 5888500 7066200 7360625 8832750 9421600 11305920 11777000 14132400 14721250 17665500 18843200 22081875 23554000 28264800 29442500 35331000 44163750 47108000 56529600 58885000 70662000 88327500 94216000 117770000 141324000 176655000 235540000 282648000 353310000 471080000 706620000 1413240000