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244262271312 = 243228141914407
BaseRepresentation
bin1110001101111100101…
…0100111100101010000
3212100111001120001001100
43203133022213211100
513000222120140222
6304113524104400
723435022022533
oct3433712474520
9770431501040
10244262271312
1194655758814
123b40ab35100
131a059441167
14bb72794a1a
15654923b4ac
hex38df2a7950

244262271312 has 120 divisors (see below), whose sum is σ = 687712858560. Its totient is φ = 80931755520.

The previous prime is 244262271311. The next prime is 244262271313. The reversal of 244262271312 is 213172262442.

244262271312 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 622 + 7 + 13 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (244262271311) and next prime (244262271313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244262271311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16947213 + ... + 16961619.

It is an arithmetic number, because the mean of its divisors is an integer number (5730940488).

Almost surely, 2244262271312 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 244262271312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343856429280).

244262271312 is an abundant number, since it is smaller than the sum of its proper divisors (443450587248).

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

244262271312 is a wasteful number, since it uses less digits than its factorization.

244262271312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121 (or 15112 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 244262271312 in words is "two hundred forty-four billion, two hundred sixty-two million, two hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 419 562 838 843 1124 1257 1676 1686 2248 2514 2529 3352 3372 3771 4496 5028 5058 6704 6744 7542 10056 10116 13488 14407 15084 20112 20232 28814 30168 40464 43221 57628 60336 86442 115256 117739 129663 172884 230512 235478 259326 345768 353217 470956 518652 691536 706434 941912 1037304 1059651 1412868 1883824 2074608 2119302 2825736 4048367 4238604 5651472 6036533 8096734 8477208 12073066 12145101 16193468 16954416 18109599 24146132 24290202 32386936 36219198 36435303 48292264 48580404 54328797 64773872 72438396 72870606 96584528 97160808 108657594 144876792 145741212 194321616 217315188 289753584 291482424 434630376 582964848 869260752 1696265773 3392531546 5088797319 6785063092 10177594638 13570126184 15266391957 20355189276 27140252368 30532783914 40710378552 61065567828 81420757104 122131135656 244262271312