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123245023440 = 243572112321801
BaseRepresentation
bin111001011000111111…
…0011101000011010000
3102210010011020212210210
41302301332131003100
54004401211222230
6132341252324120
711622061262100
oct1626176350320
9383104225723
10123245023440
11482a466a280
121ba76613640
13b81158b096
145d722d1200
153314ce8eb0
hex1cb1f9d0d0

123245023440 has 720 divisors, whose sum is σ = 507117917376. Its totient is φ = 24482304000.

The previous prime is 123245023411. The next prime is 123245023469. The reversal of 123245023440 is 44320542321.

It is an interprime number because it is at equal distance from previous prime (123245023411) and next prime (123245023469).

It is a super-2 number, since 2×1232450234402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123245023398 and 123245023407.

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 143 ways as a sum of consecutive naturals, for example, 68430540 + ... + 68432340.

Almost surely, 2123245023440 is an apocalyptic number.

123245023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123245023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253558958688).

123245023440 is an abundant number, since it is smaller than the sum of its proper divisors (383872893936).

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

123245023440 is a wasteful number, since it uses less digits than its factorization.

123245023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 123245023440 its reverse (44320542321), we get a palindrome (167565565761).

The spelling of 123245023440 in words is "one hundred twenty-three billion, two hundred forty-five million, twenty-three thousand, four hundred forty".