Search a number
-
+
4002234231424 = 2711131131934987
BaseRepresentation
bin111010001111010111101…
…111111110101010000000
3112011121110120210102021011
4322033113233332222000
51011033033430401144
612302333453210304
7562103044443262
oct72172757765200
915147416712234
104002234231424
111303379981820
125477b0190994
13230541954070
14db9cdd6bb32
156e1921d9a34
hex3a3d7bfea80

4002234231424 has 128 divisors (see below), whose sum is σ = 9450016994880. Its totient is φ = 1664397557760.

The previous prime is 4002234231397. The next prime is 4002234231431. The reversal of 4002234231424 is 4241324322004.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100859 + ... + 3035845.

Almost surely, 24002234231424 is an apocalyptic number.

4002234231424 is a gapful number since it is divisible by the number (44) 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 4002234231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725008497440).

4002234231424 is an abundant number, since it is smaller than the sum of its proper divisors (5447782763456).

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

4002234231424 is a wasteful number, since it uses less digits than its factorization.

4002234231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935138 (or 1935126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4002234231424 its reverse (4241324322004), we get a palindrome (8243558553428).

The spelling of 4002234231424 in words is "four trillion, two billion, two hundred thirty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 113 128 143 176 208 226 286 352 416 452 572 704 832 904 1144 1243 1408 1469 1664 1808 2288 2486 2938 3616 4576 4972 5876 7232 9152 9944 11752 14464 16159 18304 19888 23504 32318 39776 47008 64636 79552 94016 129272 159104 188032 258544 517088 1034176 1934987 2068352 3869974 7739948 15479896 21284857 25154831 30959792 42569714 50309662 61919584 85139428 100619324 123839168 170278856 201238648 218653531 247678336 276703141 340557712 402477296 437307062 553406282 681115424 804954592 874614124 1106812564 1362230848 1609909184 1749228248 2213625128 2405188841 2724461696 2842495903 3219818368 3498456496 4427250256 4810377682 5684991806 6996912992 8854500512 9620755364 11369983612 13993825984 17709001024 19241510728 22739967224 27987651968 31267454933 35418002048 38483021456 45479934448 62534909866 76966042912 90959868896 125069819732 153932085824 181919737792 250139639464 307864171648 363839475584 500279278928 1000558557856 2001117115712 4002234231424