Search a number
-
+
350444042004400 = 2452876110105011
BaseRepresentation
bin100111110101110100001110…
…0101000110010011110110000
31200221211010022211110212010221
41033223220130220302132300
5331413133344223120100
63241155434222502424
7133546514024033341
oct11753503450623660
91627733284425127
10350444042004400
11a1731535721753
123337a4a0734a14
1312070967a56056
14627782153a0c8
152a7acc167001a
hex13eba1ca327b0

350444042004400 has 30 divisors (see below), whose sum is σ = 841941810916532. Its totient is φ = 140177616801600.

The previous prime is 350444042004361. The next prime is 350444042004491. The reversal of 350444042004400 is 4400240444053.

It is a super-2 number, since 2×3504440420044002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438055052106 + ... + 438055052905.

Almost surely, 2350444042004400 is an apocalyptic number.

It is an amenable number.

350444042004400 is an abundant number, since it is smaller than the sum of its proper divisors (491497768912132).

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

350444042004400 is a wasteful number, since it uses less digits than its factorization.

350444042004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876110105029 (or 876110105018 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 350444042004400 its reverse (4400240444053), we get a palindrome (354844282448453).

The spelling of 350444042004400 in words is "three hundred fifty trillion, four hundred forty-four billion, forty-two million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 876110105011 1752220210022 3504440420044 4380550525055 7008880840088 8761101050110 14017761680176 17522202100220 21902752625275 35044404200440 43805505250550 70088808400880 87611010501100 175222021002200 350444042004400