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298724250240 = 2733513171923179
BaseRepresentation
bin1000101100011010101…
…10100101001010000000
31001120001121101020002000
410112031112211022000
514343241402001430
6345122041224000
730403444142313
oct4261526451200
91046047336060
10298724250240
11105763062659
1249a8a192000
13222287347b0
141065b93497a
157b856ade60
hex458d5a5280

298724250240 has 2048 divisors, whose sum is σ = 1332495360000. Its totient is φ = 62363271168.

The previous prime is 298724250211. The next prime is 298724250269. The reversal of 298724250240 is 42052427892.

298724250240 is a `hidden beast` number, since 2 + 9 + 87 + 24 + 2 + 502 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (298724250211) and next prime (298724250269).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1668850471 + ... + 1668850649.

It is an arithmetic number, because the mean of its divisors is an integer number (650632500).

Almost surely, 2298724250240 is an apocalyptic number.

298724250240 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 298724250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680000).

298724250240 is an abundant number, since it is smaller than the sum of its proper divisors (1033771109760).

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

298724250240 is a wasteful number, since it uses less digits than its factorization.

298724250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 298724250240 in words is "two hundred ninety-eight billion, seven hundred twenty-four million, two hundred fifty thousand, two hundred forty".