Search a number
-
+
312131402210440 = 235291270321182303
BaseRepresentation
bin100011011111000011100000…
…1010110100001110010001000
31111221011110201002110121101101
41012332013001112201302020
5311402430102431213230
63023503104151431144
7122513515060040041
oct10676070126416210
91457143632417341
10312131402210440
119050020333195a
122b0111a70854b4
1310521b3233cb37
145711351c098c8
1526143c2772aca
hex11be1c15a1c88

312131402210440 has 64 divisors (see below), whose sum is σ = 726569973043200. Its totient is φ = 120537804801792.

The previous prime is 312131402210413. The next prime is 312131402210489. The reversal of 312131402210440 is 44012204131213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312131402210399 and 312131402210408.

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, 4144329 + ... + 25326631.

It is an arithmetic number, because the mean of its divisors is an integer number (11352655828800).

Almost surely, 2312131402210440 is an apocalyptic number.

It is an amenable number.

312131402210440 is an abundant number, since it is smaller than the sum of its proper divisors (414438570832760).

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

312131402210440 is a wasteful number, since it uses less digits than its factorization.

312131402210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21195046 (or 21195042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312131402210440 its reverse (44012204131213), we get a palindrome (356143606341653).

The spelling of 312131402210440 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred two million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 12703 25406 50812 63515 101624 127030 254060 368387 508120 736774 1473548 1841935 2947096 3683870 7367740 14735480 21182303 42364606 84729212 105911515 169458424 211823030 423646060 614286787 847292120 1228573574 2457147148 3071433935 4914294296 6142867870 12285735740 24571471480 269078795009 538157590018 1076315180036 1345393975045 2152630360072 2690787950090 5381575900180 7803285055261 10763151800360 15606570110522 31213140221044 39016425276305 62426280442088 78032850552610 156065701105220 312131402210440