Search a number
-
+
154100003333344 = 25172312316176737
BaseRepresentation
bin100011000010011100110011…
…111101010110010011100000
3202012121211001012002012002121
4203002130303331112103200
5130144233301323131334
61303424321512354024
744313233511110305
oct4302346375262340
9665554035065077
10154100003333344
1145112498559362
12153497433a5914
1367ca74ca70373
142a0a6a10070ac
1512c3764a81db4
hex8c2733f564e0

154100003333344 has 48 divisors (see below), whose sum is σ = 335197066101408. Its totient is φ = 69364707377152.

The previous prime is 154100003333273. The next prime is 154100003333411. The reversal of 154100003333344 is 443333300001451.

154100003333344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1541000033333442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6158075857 + ... + 6158100880.

It is an arithmetic number, because the mean of its divisors is an integer number (6983272210446).

Almost surely, 2154100003333344 is an apocalyptic number.

It is an amenable number.

154100003333344 is an abundant number, since it is smaller than the sum of its proper divisors (181097062768064).

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

154100003333344 is a wasteful number, since it uses less digits than its factorization.

154100003333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316176787 (or 12316176779 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 154100003333344 its reverse (443333300001451), we get a palindrome (597433303334795).

The spelling of 154100003333344 in words is "one hundred fifty-four trillion, one hundred billion, three million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 12512 12316176737 24632353474 49264706948 98529413896 197058827792 209375004529 283272064951 394117655584 418750009058 566544129902 837500018116 1133088259804 1675000036232 2266176519608 3350000072464 4532353039216 4815625104167 6700000144928 9064706078432 9631250208334 19262500416668 38525000833336 77050001666672 154100003333344