Search a number
-
+
6844112631400 = 23521110130801587
BaseRepresentation
bin110001110011000010011…
…1001101111011001101000
3220020021211222101011001211
41203212010321233121220
51344113220313201100
622320050354122504
71304320330332052
oct143460471573150
926207758334054
106844112631400
1121a9632178010
12926527580434
133a8521427415
141993849d48d2
15bd06ed341ba
hex63984e6f668

6844112631400 has 96 divisors (see below), whose sum is σ = 17531031826080. Its totient is φ = 2464126880000.

The previous prime is 6844112631353. The next prime is 6844112631427. The reversal of 6844112631400 is 41362114486.

It is a super-2 number, since 2×68441126314002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15178594 + ... + 15622993.

It is an arithmetic number, because the mean of its divisors is an integer number (182614914855).

Almost surely, 26844112631400 is an apocalyptic number.

It is an amenable number.

6844112631400 is an abundant number, since it is smaller than the sum of its proper divisors (10686919194680).

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

6844112631400 is a wasteful number, since it uses less digits than its factorization.

6844112631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30801715 (or 30801706 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

Adding to 6844112631400 its reverse (41362114486), we get a palindrome (6885474745886).

The spelling of 6844112631400 in words is "six trillion, eight hundred forty-four billion, one hundred twelve million, six hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 30801587 61603174 123206348 154007935 246412696 308015870 338817457 616031740 677634914 770039675 1232063480 1355269828 1540079350 1694087285 2710539656 3080158700 3110960287 3388174570 6160317400 6221920574 6776349140 8470436425 12443841148 13552698280 15554801435 16940872850 24887682296 31109602870 33881745700 34220563157 62219205740 67763491400 68441126314 77774007175 124438411480 136882252628 155548014350 171102815785 273764505256 311096028700 342205631570 622192057400 684411263140 855514078925 1368822526280 1711028157850 3422056315700 6844112631400