Search a number
-
+
3448122456690 = 232538312471741
BaseRepresentation
bin110010001011010100000…
…111010011101001110010
3110012122012120201201211200
4302023110013103221302
5422443223322103230
611200013502552030
7504055455201462
oct62132407235162
913178176651750
103448122456690
11110a38226403a
12478329298616
131c0205c3aa92
14bcc662c9ba2
155ea60c5d160
hex322d41d3a72

3448122456690 has 24 divisors (see below), whose sum is σ = 8965118387628. Its totient is φ = 919499321760.

The previous prime is 3448122456659. The next prime is 3448122456703. The reversal of 3448122456690 is 966542218443.

3448122456690 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 122 + 456 + 69 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3307229579241 + 140892877449 = 1818579^2 + 375357^2 .

It is a super-2 number, since 2×34481224566902 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19156235781 + ... + 19156235960.

Almost surely, 23448122456690 is an apocalyptic number.

3448122456690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3448122456690 is an abundant number, since it is smaller than the sum of its proper divisors (5516995930938).

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

3448122456690 is a wasteful number, since it uses less digits than its factorization.

3448122456690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38312471754 (or 38312471751 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3448122456690 in words is "three trillion, four hundred forty-eight billion, one hundred twenty-two million, four hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 38312471741 76624943482 114937415223 191562358705 229874830446 344812245669 383124717410 574687076115 689624491338 1149374152230 1724061228345 3448122456690