Search a number
-
+
31004400331410 = 2351193952728277
BaseRepresentation
bin1110000110010110001100…
…10001001010101010010010
311001202222202222010011212120
413003023012101022222102
513030434002441101120
6145535120324035110
76346664641343622
oct703130621125222
9131688688104776
1031004400331410
11997398a782080
123588a3ab32a96
13143b91925588c
14792899d96882
1538b7679e2140
hex1c32c644aa92

31004400331410 has 32 divisors (see below), whose sum is σ = 81175157232192. Its totient is φ = 7516218262080.

The previous prime is 31004400331391. The next prime is 31004400331469. The reversal of 31004400331410 is 1413300440013.

It is a super-2 number, since 2×310044003314102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46976363809 + ... + 46976364468.

It is an arithmetic number, because the mean of its divisors is an integer number (2536723663506).

Almost surely, 231004400331410 is an apocalyptic number.

31004400331410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31004400331410 is an abundant number, since it is smaller than the sum of its proper divisors (50170756900782).

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

31004400331410 is a wasteful number, since it uses less digits than its factorization.

31004400331410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93952728298.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31004400331410 its reverse (1413300440013), we get a palindrome (32417700771423).

The spelling of 31004400331410 in words is "thirty-one trillion, four billion, four hundred million, three hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 93952728277 187905456554 281858184831 469763641385 563716369662 939527282770 1033480011047 1409290924155 2066960022094 2818581848310 3100440033141 5167400055235 6200880066282 10334800110470 15502200165705 31004400331410