Search a number
-
+
120316503115648 = 27717233759157321
BaseRepresentation
bin11011010110110101011110…
…011011011100011110000000
3120210000010220222020012102001
4123112311132123130132000
5111232231144244200043
61103520345525033344
734225403052241360
oct3326653633343600
9523003828205361
10120316503115648
1135377a40400564
12115b2189555854
135219a4a317a68
14219d4c7caa9a0
15dd9a95a8b74d
hex6d6d5e6dc780

120316503115648 has 512 divisors, whose sum is σ = 316109989324800. Its totient is φ = 44400546938880.

The previous prime is 120316503115637. The next prime is 120316503115709. The reversal of 120316503115648 is 846511305613021.

It is a super-3 number, since 3×1203165031156483 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 120316503115598 and 120316503115607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764704828 + ... + 764862148.

It is an arithmetic number, because the mean of its divisors is an integer number (617402322900).

Almost surely, 2120316503115648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120316503115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054994662400).

120316503115648 is an abundant number, since it is smaller than the sum of its proper divisors (195793486209152).

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

120316503115648 is a wasteful number, since it uses less digits than its factorization.

120316503115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157478 (or 157466 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

Adding to 120316503115648 its reverse (846511305613021), we get a palindrome (966827808728669).

The spelling of 120316503115648 in words is "one hundred twenty trillion, three hundred sixteen billion, five hundred three million, one hundred fifteen thousand, six hundred forty-eight".