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5140644111210 = 2353719332395867
BaseRepresentation
bin100101011001110011001…
…0001000010001101101010
3200012102220022211020122010
41022303212101002031222
51133211014343024320
614533325043540350
71040253644660526
oct112634621021552
920172808736563
105140644111210
111702153647a13
126b035b38a6b6
132b39b7227a4a
1413ab46760d86
158dabec75ae0
hex4ace644236a

5140644111210 has 64 divisors (see below), whose sum is σ = 12677553436032. Its totient is φ = 1333098176256.

The previous prime is 5140644111203. The next prime is 5140644111217. The reversal of 5140644111210 is 121114460415.

It is an interprime number because it is at equal distance from previous prime (5140644111203) and next prime (5140644111217).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5140644111217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947697 + ... + 3343563.

It is an arithmetic number, because the mean of its divisors is an integer number (198086772438).

Almost surely, 25140644111210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140644111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338776718016).

5140644111210 is an abundant number, since it is smaller than the sum of its proper divisors (7536909324822).

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

5140644111210 is a wasteful number, since it uses less digits than its factorization.

5140644111210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397847.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 5140644111210 its reverse (121114460415), we get a palindrome (5261758571625).

The spelling of 5140644111210 in words is "five trillion, one hundred forty billion, six hundred forty-four million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1933 3866 5799 9665 11598 19330 28995 57990 71521 143042 214563 357605 429126 715210 1072815 2145630 2395867 4791734 7187601 11979335 14375202 23958670 35938005 71876010 88647079 177294158 265941237 443235395 531882474 886470790 1329706185 2659412370 4631210911 9262421822 13893632733 23156054555 27787265466 46312109110 69468163665 138936327330 171354803707 342709607414 514064411121 856774018535 1028128822242 1713548037070 2570322055605 5140644111210