Search a number
-
+
2434104034245 = 3251327723576373
BaseRepresentation
bin100011011010111011111…
…010000000001111000101
322121200211220011122221100
4203122323322000033011
5304340021113043440
65102113441010313
7340600236625242
oct43327372001705
98550756148840
102434104034245
118593302a7954
123338b4623999
131486c55b3020
1485b501725c9
15434b3975230
hex236bbe803c5

2434104034245 has 96 divisors (see below), whose sum is σ = 4562714493792. Its totient is φ = 1193308194816.

The previous prime is 2434104034177. The next prime is 2434104034283. The reversal of 2434104034245 is 5424304014342.

2434104034245 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 1 + 0 + 403 + 4 + 245 = 666.

2434104034245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1330160862276 + 1103943171969 = 1153326^2 + 1050687^2 .

It is not a de Polignac number, because 2434104034245 - 214 = 2434104017861 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381936879 + ... + 381943251.

It is an arithmetic number, because the mean of its divisors is an integer number (47528275977).

Almost surely, 22434104034245 is an apocalyptic number.

It is an amenable number.

2434104034245 is a deficient number, since it is larger than the sum of its proper divisors (2128610459547).

2434104034245 is a wasteful number, since it uses less digits than its factorization.

2434104034245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 2434104034245 its reverse (5424304014342), we get a palindrome (7858408048587).

The spelling of 2434104034245 in words is "two trillion, four hundred thirty-four billion, one hundred four million, thirty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 277 585 831 1385 2357 2493 3601 4155 6373 7071 10803 11785 12465 18005 19119 21213 30641 31865 32409 35355 54015 57357 82849 91923 95595 106065 153205 162045 248547 275769 286785 414245 459615 652889 745641 1242735 1378845 1765321 1958667 3264445 3728205 5295963 5876001 8487557 8826605 9793335 15021161 15887889 22949173 25462671 26479815 29380005 42437785 45063483 68847519 75105805 76388013 79439445 114745865 127313355 135190449 195275093 206542557 225317415 344237595 381940065 585825279 675952245 976375465 1032712785 1757475837 2929126395 4160861597 8787379185 12482584791 20804307985 37447754373 54091200761 62412923955 162273602283 187238771865 270456003805 486820806849 811368011415 2434104034245