Search a number
-
+
123433401040 = 2451542917513
BaseRepresentation
bin111001011110100110…
…1000011101011010000
3102210121021201110021221
41302331031003223100
54010242422313130
6132412102054424
711626536411655
oct1627515035320
9383537643257
10123433401040
1148390a34144
121bb0971a414
13b841606211
145d8d329c2c
15332660987a
hex1cbd343ad0

123433401040 has 20 divisors (see below), whose sum is σ = 286982657604. Its totient is φ = 49373360384.

The previous prime is 123433401001. The next prime is 123433401059. The reversal of 123433401040 is 40104334321.

It can be written as a sum of positive squares in 2 ways, for example, as 92032143424 + 31401257616 = 303368^2 + 177204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1234334010404 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123433400996 and 123433401014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 771458677 + ... + 771458836.

Almost surely, 2123433401040 is an apocalyptic number.

123433401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123433401040 is an abundant number, since it is smaller than the sum of its proper divisors (163549256564).

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

123433401040 is a wasteful number, since it uses less digits than its factorization.

123433401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542917526 (or 1542917520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 123433401040 its reverse (40104334321), we get a palindrome (163537735361).

The spelling of 123433401040 in words is "one hundred twenty-three billion, four hundred thirty-three million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1542917513 3085835026 6171670052 7714587565 12343340104 15429175130 24686680208 30858350260 61716700520 123433401040