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244133325144 = 2332171910497649
BaseRepresentation
bin1110001101011101111…
…0101110100101011000
3212100011001220220011100
43203113132232211120
512444441112401034
6304053040231400
723431565011302
oct3432736564530
9770131826140
10244133325144
1194599996635
123b39390b560
131a038804257
14bb5d5ca972
15653cc6a099
hex38d77ae958

244133325144 has 96 divisors (see below), whose sum is σ = 736935030000. Its totient is φ = 72559742976.

The previous prime is 244133325133. The next prime is 244133325151. The reversal of 244133325144 is 441523331442.

244133325144 is a `hidden beast` number, since 2 + 4 + 4 + 133 + 3 + 2 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244133325099 and 244133325108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5225569 + ... + 5272080.

Almost surely, 2244133325144 is an apocalyptic number.

244133325144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244133325144 is an abundant number, since it is smaller than the sum of its proper divisors (492801704856).

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

244133325144 is a wasteful number, since it uses less digits than its factorization.

244133325144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497697 (or 10497690 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 244133325144 its reverse (441523331442), we get a palindrome (685656656586).

The spelling of 244133325144 in words is "two hundred forty-four billion, one hundred thirty-three million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 10497649 20995298 31492947 41990596 62985894 83981192 94478841 125971788 178460033 188957682 199455331 251943576 356920066 377915364 398910662 535380099 598365993 713840132 755830728 797821324 1070760198 1196731986 1427680264 1595642648 1606140297 1795097979 2141520396 2393463972 3212280594 3390740627 3590195958 4283040792 4786927944 6424561188 6781481254 7180391916 10172221881 12849122376 13562962508 14360783832 20344443762 27125925016 30516665643 40688887524 61033331286 81377775048 122066662572 244133325144