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1414420000 = 2554710103
BaseRepresentation
bin101010001001110…
…0101011000100000
310122120110222110221
41110103211120200
510344042420000
6352203532424
750023241320
oct12423453040
93576428427
101414420000
11666448754
1233582a114
1319705a116
14d5bc7280
158429261a
hex544e5620

1414420000 has 120 divisors (see below), whose sum is σ = 3977176896. Its totient is φ = 484896000.

The previous prime is 1414419997. The next prime is 1414420003. The reversal of 1414420000 is 244141.

It is an interprime number because it is at equal distance from previous prime (1414419997) and next prime (1414420003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1414420003) 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, 134949 + ... + 145051.

Almost surely, 21414420000 is an apocalyptic number.

1414420000 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 1414420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988588448).

1414420000 is an abundant number, since it is smaller than the sum of its proper divisors (2562756896).

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

1414420000 is an equidigital number, since it uses as much as digits as its factorization.

1414420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1414420000 is about 37608.7755716668. The cubic root of 1414420000 is about 1122.5166622031.

Adding to 1414420000 its reverse (244141), we get a palindrome (1414664141).

The spelling of 1414420000 in words is "one billion, four hundred fourteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 10103 14000 17500 20000 20206 28000 35000 40412 50515 70000 70721 80824 101030 140000 141442 161648 202060 252575 282884 323296 353605 404120 505150 565768 707210 808240 1010300 1131536 1262875 1414420 1616480 1768025 2020600 2263072 2525750 2828840 3536050 4041200 5051500 5657680 6314375 7072100 8082400 8840125 10103000 11315360 12628750 14144200 17680250 20206000 25257500 28288400 35360500 40412000 44200625 50515000 56576800 70721000 88401250 101030000 141442000 176802500 202060000 282884000 353605000 707210000 1414420000