Search a number
-
+
310054013142024 = 23341531173593207
BaseRepresentation
bin100011001111111100001001…
…1010100001000010000001000
31111122210212121021102202020010
41012133320103110020100020
5311114411104331021044
63015232503002231520
7122210443325230554
oct10637702324102010
91448725537382203
10310054013142024
118a87a194366598
122a9366657b55a0
1310400c778734b8
14567c9a126a864
1525ca33a615bb9
hex119fe13508408

310054013142024 has 64 divisors (see below), whose sum is σ = 794043598803840. Its totient is φ = 100830213578240.

The previous prime is 310054013141969. The next prime is 310054013142061. The reversal of 310054013142024 is 420241310450013.

It is a super-2 number, since 2×3100540131420242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310054013141982 and 310054013142000.

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, 522377629 + ... + 522970835.

It is an arithmetic number, because the mean of its divisors is an integer number (12406931231310).

Almost surely, 2310054013142024 is an apocalyptic number.

It is an amenable number.

310054013142024 is an abundant number, since it is smaller than the sum of its proper divisors (483989585661816).

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

310054013142024 is a wasteful number, since it uses less digits than its factorization.

310054013142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124430 (or 1124426 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 310054013142024 its reverse (420241310450013), we get a palindrome (730295323592037).

The spelling of 310054013142024 in words is "three hundred ten trillion, fifty-four billion, thirteen million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 531173 593207 1062346 1186414 1593519 1779621 2124692 2372828 3187038 3559242 4249384 4745656 6374076 7118484 12748152 14236968 21778093 24321487 43556186 48642974 65334279 72964461 87112372 97285948 130668558 145928922 174224744 194571896 261337116 291857844 522674232 583715688 315095541811 630191083622 945286625433 1260382167244 1890573250866 2520764334488 3781146501732 7562293003464 12918917214251 25837834428502 38756751642753 51675668857004 77513503285506 103351337714008 155027006571012 310054013142024