Search a number
-
+
3413217474056 = 231345771814877
BaseRepresentation
bin110001101010110011100…
…111010111011000001000
3110002022002222211220020002
4301222303213113120020
5421410232133132211
611132002132022132
7501411465555635
oct61526347273010
913068088756202
103413217474056
1110a65a0310a55
12471607761948
131b9b326049c0
14bb2b467518c
155dbbb6eb03b
hex31ab39d7608

3413217474056 has 32 divisors (see below), whose sum is σ = 6907154966040. Its totient is φ = 1571884005888.

The previous prime is 3413217474019. The next prime is 3413217474101. The reversal of 3413217474056 is 6504747123143.

3413217474056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2013657493156 + 1399559980900 = 1419034^2 + 1183030^2 .

It is a super-2 number, since 2×34132174740562 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3413217474056.

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, 35859911 + ... + 35954966.

Almost surely, 23413217474056 is an apocalyptic number.

It is an amenable number.

3413217474056 is an abundant number, since it is smaller than the sum of its proper divisors (3493937491984).

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

3413217474056 is a wasteful number, since it uses less digits than its factorization.

3413217474056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71815353 (or 71815349 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 3413217474056 in words is "three trillion, four hundred thirteen billion, two hundred seventeen million, four hundred seventy-four thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 104 457 914 1828 3656 5941 11882 23764 47528 71814877 143629754 287259508 574519016 933593401 1867186802 3734373604 7468747208 32819398789 65638797578 131277595156 262555190312 426652184257 853304368514 1706608737028 3413217474056