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1434300312200 = 235271760264719
BaseRepresentation
bin10100110111110010111…
…101011110101010001000
312002010011212002012012012
4110313302331132222020
5141444421334442300
63014524121235052
7205424204332160
oct24676275365210
95063155065165
101434300312200
11503313152548
121b1b88332a88
13a533bb9a5b2
144d5c5c1d5a0
1527499580435
hex14df2f5ea88

1434300312200 has 96 divisors (see below), whose sum is σ = 4035325651200. Its totient is φ = 462833034240.

The previous prime is 1434300312191. The next prime is 1434300312209. The reversal of 1434300312200 is 22130034341.

It is an interprime number because it is at equal distance from previous prime (1434300312191) and next prime (1434300312209).

It is not an unprimeable number, because it can be changed into a prime (1434300312209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30108560 + ... + 30156159.

It is an arithmetic number, because the mean of its divisors is an integer number (42034642200).

Almost surely, 21434300312200 is an apocalyptic number.

1434300312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434300312200 is an abundant number, since it is smaller than the sum of its proper divisors (2601025339000).

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

1434300312200 is a wasteful number, since it uses less digits than its factorization.

1434300312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60264759 (or 60264750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1434300312200 its reverse (22130034341), we get a palindrome (1456430346541).

The spelling of 1434300312200 in words is "one trillion, four hundred thirty-four billion, three hundred million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 60264719 120529438 241058876 301323595 421853033 482117752 602647190 843706066 1024500223 1205294380 1506617975 1687412132 2049000446 2109265165 2410588760 3013235950 3374824264 4098000892 4218530330 5122501115 6026471900 7171501561 8196001784 8437060660 10245002230 10546325825 12052943800 14343003122 16874121320 20490004460 21092651650 25612505575 28686006244 35857507805 40980008920 42185303300 51225011150 57372012488 71715015610 84370606600 102450022300 143430031220 179287539025 204900044600 286860062440 358575078050 717150156100 1434300312200