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297423270144 = 28347211132389
BaseRepresentation
bin1000101001111111100…
…11101111000100000000
31001102200221100120220000
410110333303233010000
514333110324121034
6344345004520000
730326266040400
oct4247763570400
91042627316800
10297423270144
11105155755aa0
1249786550000
132207c0456a0
1410576c3a800
157b0b378599
hex453fcef100

297423270144 has 2160 divisors, whose sum is σ = 1278922296960. Its totient is φ = 67443425280.

The previous prime is 297423270107. The next prime is 297423270149. The reversal of 297423270144 is 441072324792.

It is a self number, because there is not a number n which added to its sum of digits gives 297423270144.

It is not an unprimeable number, because it can be changed into a prime (297423270149) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 3341834452 + ... + 3341834540.

It is an arithmetic number, because the mean of its divisors is an integer number (592093656).

Almost surely, 2297423270144 is an apocalyptic number.

297423270144 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 297423270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639461148480).

297423270144 is an abundant number, since it is smaller than the sum of its proper divisors (981499026816).

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

297423270144 is a wasteful number, since it uses less digits than its factorization.

297423270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 297423270144 in words is "two hundred ninety-seven billion, four hundred twenty-three million, two hundred seventy thousand, one hundred forty-four".