Search a number
-
+
14001224132004 = 22313713076516113
BaseRepresentation
bin1100101110111110100111…
…1111011010010110100100
31211120111121101100022011220
43023233221333122112210
53313344001334211004
645440023520300340
72643361246324404
oct313575177322644
954514541308156
1014001224132004
11450898201412a
1216a16457716b0
137a7404747505
1436593cc80804
1519430d603dd9
hexcbbe9fda5a4

14001224132004 has 48 divisors (see below), whose sum is σ = 32933169960768. Its totient is φ = 4629462995968.

The previous prime is 14001224132003. The next prime is 14001224132023. The reversal of 14001224132004 is 40023142210041.

It is a super-2 number, since 2×140012241320042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14001224132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109349 + ... + 5406764.

It is an arithmetic number, because the mean of its divisors is an integer number (686107707516).

Almost surely, 214001224132004 is an apocalyptic number.

It is an amenable number.

14001224132004 is an abundant number, since it is smaller than the sum of its proper divisors (18931945828764).

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

14001224132004 is a wasteful number, since it uses less digits than its factorization.

14001224132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517564 (or 6517562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14001224132004 its reverse (40023142210041), we get a palindrome (54024366342045).

The spelling of 14001224132004 in words is "fourteen trillion, one billion, two hundred twenty-four million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1307 1644 2614 3921 5228 7842 15684 179059 358118 537177 716236 1074354 2148708 6516113 13032226 19548339 26064452 39096678 78193356 892707481 1785414962 2678122443 3570829924 5356244886 8516559691 10712489772 17033119382 25549679073 34066238764 51099358146 102198716292 1166768677667 2333537355334 3500306033001 4667074710668 7000612066002 14001224132004