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4224211041344 = 267171466937811
BaseRepresentation
bin111101011110000110100…
…110010011110001000000
3112221211102112022201102112
4331132012212103301000
51023202141011310334
612552324210434452
7614121613262360
oct75360646236100
915854375281375
104224211041344
11138952900a548
1258281b892a28
13248459065a78
1410864aab49a0
1574d34c0b4ce
hex3d786993c40

4224211041344 has 112 divisors (see below), whose sum is σ = 10144390907520. Its totient is φ = 1703722229760.

The previous prime is 4224211041319. The next prime is 4224211041353. The reversal of 4224211041344 is 4431401124224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4224211041344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111700199 + ... + 111738009.

Almost surely, 24224211041344 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 4224211041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072195453760).

4224211041344 is an abundant number, since it is smaller than the sum of its proper divisors (5920179866176).

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

4224211041344 is a wasteful number, since it uses less digits than its factorization.

4224211041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52516 (or 52506 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4224211041344 its reverse (4431401124224), we get a palindrome (8655612165568).

The spelling of 4224211041344 in words is "four trillion, two hundred twenty-four billion, two hundred eleven million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 14669 29338 37811 58676 75622 102683 117352 151244 205366 234704 249373 264677 302488 410732 469408 498746 529354 604976 642787 821464 938816 997492 1058708 1209952 1285574 1642928 1745611 1994984 2117416 2419904 2571148 3285856 3491222 3989968 4234832 4499509 5142296 6571712 6982444 7979936 8469664 8999018 10284592 13964888 15959872 16939328 17998036 20569184 27929776 35996072 41138368 55859552 71992144 111719104 143984288 287968576 554649559 1109299118 2218598236 3882546913 4437196472 7765093826 8874392944 9429042503 15530187652 17748785888 18858085006 31060375304 35497571776 37716170012 62120750608 66003297521 75432340024 124241501216 132006595042 150864680048 248483002432 264013190084 301729360096 528026380168 603458720192 1056052760336 2112105520672 4224211041344