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123142458000 = 24353171963541
BaseRepresentation
bin111001010101111011…
…1001100101010010000
3102202212000021000110210
41302223313030222100
54004143432124000
6132323150124120
711616404423352
oct1625367145220
9382760230423
10123142458000
1148251786351
121ba481b0640
13b7c6259983
145d628330d2
15330acd9350
hex1cabdcca90

123142458000 has 320 divisors, whose sum is σ = 442496321280. Its totient is φ = 29279232000.

The previous prime is 123142457993. The next prime is 123142458011. The reversal of 123142458000 is 854241321.

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

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 63 ways as a sum of consecutive naturals, for example, 1906230 + ... + 1969770.

It is an arithmetic number, because the mean of its divisors is an integer number (1382801004).

Almost surely, 2123142458000 is an apocalyptic number.

123142458000 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 123142458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221248160640).

123142458000 is an abundant number, since it is smaller than the sum of its proper divisors (319353863280).

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

123142458000 is a wasteful number, since it uses less digits than its factorization.

123142458000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63603 (or 63587 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 123142458000 its reverse (854241321), we get a palindrome (123996699321).

The spelling of 123142458000 in words is "one hundred twenty-three billion, one hundred forty-two million, four hundred fifty-eight thousand".