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241380499360 = 255721121323237
BaseRepresentation
bin1110000011001101100…
…1100001111110100000
3212002001012222212002211
43200303121201332200
512423321401434420
6302515541451504
723303430251200
oct3406331417640
9762035885084
10241380499360
1193406aa9900
123a945a10b94
13199ba3b3160
14b97bb66400
15642b24ce5a
hex3833661fa0

241380499360 has 1296 divisors, whose sum is σ = 843053353128. Its totient is φ = 64633282560.

The previous prime is 241380499357. The next prime is 241380499363. The reversal of 241380499360 is 63994083142.

It is an interprime number because it is at equal distance from previous prime (241380499357) and next prime (241380499363).

It can be written as a sum of positive squares in 4 ways, for example, as 199176549264 + 42203950096 = 446292^2 + 205436^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241380499363) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6523797262 + ... + 6523797298.

Almost surely, 2241380499360 is an apocalyptic number.

241380499360 is a gapful number since it is divisible by the number (20) 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 241380499360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421526676564).

241380499360 is an abundant number, since it is smaller than the sum of its proper divisors (601672853768).

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

241380499360 is a wasteful number, since it uses less digits than its factorization.

241380499360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 241380499360 in words is "two hundred forty-one billion, three hundred eighty million, four hundred ninety-nine thousand, three hundred sixty".