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245399454144 = 26331323127107
BaseRepresentation
bin1110010010001011110…
…0101000000111000000
3212110102022100220122000
43210202330220013000
513010034230013034
6304422425544000
723505140641425
oct3444274500700
9773368326560
10245399454144
119508965a039
123b687945000
131a1aac10300
14bc3d811d4c
1565b3eb9599
hex3922f281c0

245399454144 has 336 divisors, whose sum is σ = 806421795840. Its totient is φ = 73069102080.

The previous prime is 245399454143. The next prime is 245399454191. The reversal of 245399454144 is 441454993542.

245399454144 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 9 + 94 + 541 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245399454143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9039439 + ... + 9066545.

Almost surely, 2245399454144 is an apocalyptic number.

245399454144 is a gapful number since it is divisible by the number (24) 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 245399454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403210897920).

245399454144 is an abundant number, since it is smaller than the sum of its proper divisors (561022341696).

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

245399454144 is a wasteful number, since it uses less digits than its factorization.

245399454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27185 (or 27156 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 245399454144 in words is "two hundred forty-five billion, three hundred ninety-nine million, four hundred fifty-four thousand, one hundred forty-four".