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3424133431030 = 25131731431115963
BaseRepresentation
bin110001110100111110010…
…000011011111011110110
3110010100021202010222002211
4301310332100123323312
5422100111124243110
611141005234524034
7502246134636244
oct61647620337366
913110252128084
103424133431030
111100192066aa4
1247375343661a
131bab81cb4940
14bba2c309794
155e109bd898a
hex31d3e41bef6

3424133431030 has 128 divisors (see below), whose sum is σ = 7271599620096. Its totient is φ = 1148858726400.

The previous prime is 3424133431007. The next prime is 3424133431031. The reversal of 3424133431030 is 301343314243.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 3424133430983 and 3424133431001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424133431031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29469829 + ... + 29585791.

It is an arithmetic number, because the mean of its divisors is an integer number (56809372032).

Almost surely, 23424133431030 is an apocalyptic number.

3424133431030 is an abundant number, since it is smaller than the sum of its proper divisors (3847466189066).

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

3424133431030 is a wasteful number, since it uses less digits than its factorization.

3424133431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116462.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 3424133431030 its reverse (301343314243), we get a palindrome (3725476745273).

The spelling of 3424133431030 in words is "three trillion, four hundred twenty-four billion, one hundred thirty-three million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 5 10 13 17 26 31 34 62 65 85 130 155 170 221 310 403 431 442 527 806 862 1054 1105 2015 2155 2210 2635 4030 4310 5270 5603 6851 7327 11206 13361 13702 14654 26722 28015 34255 36635 56030 66805 68510 73270 95251 115963 133610 173693 190502 227137 231926 347386 454274 476255 579815 868465 952510 1135685 1159630 1507519 1736930 1971371 2271370 2952781 3015038 3594853 3942742 5905562 7189706 7537595 9856855 14763905 15075190 17974265 19713710 25627823 29527810 35948530 46733089 49980053 51255646 61112501 93466178 99960106 122225002 128139115 233665445 249900265 256278230 305562505 467330890 499800530 611125010 649740689 794462513 849660901 1299481378 1549381643 1588925026 1699321802 3098763286 3248703445 3972312565 4248304505 6497406890 7746908215 7944625130 8496609010 11045591713 15493816430 20141961359 22091183426 26339487931 40283922718 52678975862 55227958565 100709806795 110455917130 131697439655 201419613590 263394879310 342413343103 684826686206 1712066715515 3424133431030