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244043420896 = 251123113914627
BaseRepresentation
bin1110001101001000011…
…1110001010011100000
3212022220210202021201101
43203102013301103200
512444300103432041
6304040105244144
723426423564632
oct3432207612340
9768823667641
10244043420896
1194553170200
123b369793654
131a022cb6a82
14bb516a6a52
156534e0bb31
hex38d21f14e0

244043420896 has 144 divisors (see below), whose sum is σ = 549104693760. Its totient is φ = 106570886400.

The previous prime is 244043420879. The next prime is 244043420923. The reversal of 244043420896 is 698024340442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16677135 + ... + 16691761.

It is an arithmetic number, because the mean of its divisors is an integer number (3813227040).

Almost surely, 2244043420896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244043420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274552346880).

244043420896 is an abundant number, since it is smaller than the sum of its proper divisors (305061272864).

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

244043420896 is a wasteful number, since it uses less digits than its factorization.

244043420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 244043420896 in words is "two hundred forty-four billion, forty-three million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 139 176 242 248 278 341 352 484 496 556 682 968 992 1112 1364 1529 1936 2224 2728 3058 3751 3872 4309 4448 5456 6116 7502 8618 10912 12232 14627 15004 16819 17236 24464 29254 30008 33638 34472 47399 48928 58508 60016 67276 68944 94798 117016 120032 134552 137888 160897 189596 234032 269104 321794 379192 453437 468064 521389 538208 643588 758384 906874 1042778 1287176 1516768 1769867 1813748 2033153 2085556 2574352 3539734 3627496 4066306 4171112 4987807 5148704 7079468 7254992 8132612 8342224 9975614 14158936 14509984 16265224 16684448 19951228 22364683 28317872 32530448 39902456 44729366 54865877 56635744 63027743 65060896 79804912 89458732 109731754 126055486 159609824 178917464 219463508 246011513 252110972 357834928 438927016 492023026 504221944 693305173 715669856 877854032 984046052 1008443888 1386610346 1755708064 1968092104 2016887776 2773220692 3936184208 5546441384 7626356903 7872368416 11092882768 15252713806 22185765536 30505427612 61010855224 122021710448 244043420896