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244199370240 = 2938573167
BaseRepresentation
bin1110001101101101101…
…0101010111000000000
3212100022200012100000000
43203123122222320000
513000110014321430
6304103400000000
723433326253510
oct3433332527000
9770280170000
10244199370240
11946231a6261
123b3b1a60000
131a0493b98a7
14bb6829d840
156543963e60
hex38db6aae00

244199370240 has 1440 divisors, whose sum is σ = 1051513841664. Its totient is φ = 53210234880.

The previous prime is 244199370199. The next prime is 244199370353. The reversal of 244199370240 is 42073991442.

244199370240 is a `hidden beast` number, since 24 + 4 + 19 + 9 + 370 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2441993702402 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3644766687 + ... + 3644766753.

Almost surely, 2244199370240 is an apocalyptic number.

244199370240 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 244199370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525756920832).

244199370240 is an abundant number, since it is smaller than the sum of its proper divisors (807314471424).

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

244199370240 is an frugal number, since it uses more digits than its factorization.

244199370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 244199370240 in words is "two hundred forty-four billion, one hundred ninety-nine million, three hundred seventy thousand, two hundred forty".