Search a number
-
+
31341412128 = 2531336716841
BaseRepresentation
bin11101001100000101…
…111111111100100000
32222220020101200212210
4131030011333330200
51003141400142003
622221551122120
72156445415245
oct351405777440
988806350783
1031341412128
11123234568a4
1260a8213340
132c5626c5a0
1417346695cc
15c36799503
hex74c17ff20

31341412128 has 96 divisors (see below), whose sum is σ = 88636851072. Its totient is φ = 9639475200.

The previous prime is 31341412099. The next prime is 31341412129. The reversal of 31341412128 is 82121414313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×313414121282 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31341412095 and 31341412104.

It is not an unprimeable number, because it can be changed into a prime (31341412129) 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 15 ways as a sum of consecutive naturals, for example, 4577988 + ... + 4584828.

It is an arithmetic number, because the mean of its divisors is an integer number (923300532).

Almost surely, 231341412128 is an apocalyptic number.

It is an amenable number.

31341412128 is an abundant number, since it is smaller than the sum of its proper divisors (57295438944).

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

31341412128 is a wasteful number, since it uses less digits than its factorization.

31341412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10530 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The spelling of 31341412128 in words is "thirty-one billion, three hundred forty-one million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3671 6841 7342 11013 13682 14684 20523 22026 27364 29368 41046 44052 47723 54728 58736 82092 88104 88933 95446 109456 117472 143169 164184 176208 177866 190892 218912 266799 286338 328368 352416 355732 381784 533598 572676 656736 711464 763568 1067196 1145352 1422928 1527136 2134392 2290704 2845856 4268784 4581408 8537568 25113311 50226622 75339933 100453244 150679866 200906488 301359732 326473043 401812976 602719464 652946086 803625952 979419129 1205438928 1305892172 1958838258 2410877856 2611784344 3917676516 5223568688 7835353032 10447137376 15670706064 31341412128