Search a number
-
+
144321332201312 = 257667019965927
BaseRepresentation
bin100000110100001001101101…
…101111010100011101100000
3200220222222120210011101011112
4200310021231233110131200
5122404030042020420222
61230540145453202452
742253605102656360
oct4064115557243540
9626888523141145
10144321332201312
1141a9237363a752
121422a536190428
13626b59ba13556
14278d2929589a0
1511a41e0822be2
hex83426dbd4760

144321332201312 has 48 divisors (see below), whose sum is σ = 324723820458240. Its totient is φ = 61851842752128.

The previous prime is 144321332201281. The next prime is 144321332201353. The reversal of 144321332201312 is 213102233123441.

It is a super-2 number, since 2×1443213322013122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148929293 + ... + 149895219.

It is an arithmetic number, because the mean of its divisors is an integer number (6765079592880).

Almost surely, 2144321332201312 is an apocalyptic number.

It is an amenable number.

144321332201312 is an abundant number, since it is smaller than the sum of its proper divisors (180402488256928).

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

144321332201312 is an equidigital number, since it uses as much as digits as its factorization.

144321332201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632963 (or 1632955 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 144321332201312 its reverse (213102233123441), we get a palindrome (357423565324753).

The spelling of 144321332201312 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred thirty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 667019 965927 1334038 1931854 2668076 3863708 4669133 5336152 6761489 7727416 9338266 10672304 13522978 15454832 18676532 21344608 27045956 30909664 37353064 54091912 74706128 108183824 149412256 216367648 644291661613 1288583323226 2577166646452 4510041631291 5154333292904 9020083262582 10308666585808 18040166525164 20617333171616 36080333050328 72160666100656 144321332201312