Search a number
-
+
31324311040 = 295111112369
BaseRepresentation
bin11101001011000100…
…110000111000000000
32222212001012212121011
4131023010300320000
51003123010423130
622220140410304
72156150151661
oct351304607000
988761185534
1031324311040
1112314836570
1260a2546994
132c528627b9
141732297368
15c3501c52a
hex74b130e00

31324311040 has 80 divisors (see below), whose sum is σ = 81932724720. Its totient is φ = 11390648320.

The previous prime is 31324311017. The next prime is 31324311043. The reversal of 31324311040 is 4011342313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31324311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528025 + ... + 584344.

It is an arithmetic number, because the mean of its divisors is an integer number (1024159059).

Almost surely, 231324311040 is an apocalyptic number.

It is an amenable number.

31324311040 is an abundant number, since it is smaller than the sum of its proper divisors (50608413680).

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

31324311040 is a wasteful number, since it uses less digits than its factorization.

31324311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112403 (or 1112387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31324311040 its reverse (4011342313), we get a palindrome (35335653353).

The spelling of 31324311040 in words is "thirty-one billion, three hundred twenty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 1112369 2224738 4449476 5561845 8898952 11123690 12236059 17797904 22247380 24472118 35595808 44494760 48944236 61180295 71191616 88989520 97888472 122360590 142383232 177979040 195776944 244721180 284766464 355958080 391553888 489442360 569532928 711916160 783107776 978884720 1423832320 1566215552 1957769440 2847664640 3132431104 3915538880 6264862208 7831077760 15662155520 31324311040