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244228832640 = 273351317312063
BaseRepresentation
bin1110001101110100101…
…1000011110110000000
3212100101201122011211000
43203131023003312000
513000140040121030
6304110331252000
723434134552642
oct3433513036600
9770351564730
10244228832640
1194638899851
123b3bb8aa000
131a052533c70
14bb6c16c892
156546333860
hex38dd2c3d80

244228832640 has 1024 divisors, whose sum is σ = 1018618675200. Its totient is φ = 54729768960.

The previous prime is 244228832591. The next prime is 244228832641. The reversal of 244228832640 is 46238822442.

244228832640 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 288 + 326 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244228832641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118384249 + ... + 118386311.

It is an arithmetic number, because the mean of its divisors is an integer number (994744800).

Almost surely, 2244228832640 is an apocalyptic number.

244228832640 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 244228832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509309337600).

244228832640 is an abundant number, since it is smaller than the sum of its proper divisors (774389842560).

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

244228832640 is a wasteful number, since it uses less digits than its factorization.

244228832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 244228832640 in words is "two hundred forty-four billion, two hundred twenty-eight million, eight hundred thirty-two thousand, six hundred forty".