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44221422412244 = 227117731303142547
BaseRepresentation
bin10100000111000000110100…
…01011001010000111010100
312210120112012221221200202202
422003200122023022013110
521244010433114142434
6234015012505024032
712212615033360210
oct1203403213120724
9183515187850682
1044221422412244
11130aa222113270
124b624a8a85018
131b8a0a6984b2c
14acc484a89940
1551a479bd7a7e
hex28381a2ca1d4

44221422412244 has 96 divisors (see below), whose sum is σ = 96682740811776. Its totient is φ = 17193510794880.

The previous prime is 44221422412199. The next prime is 44221422412291.

44221422412244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442214224122442 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44221422412198 and 44221422412207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310152179 + ... + 310294725.

It is an arithmetic number, because the mean of its divisors is an integer number (1007111883456).

Almost surely, 244221422412244 is an apocalyptic number.

44221422412244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44221422412244 is an abundant number, since it is smaller than the sum of its proper divisors (52461318399532).

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

44221422412244 is a wasteful number, since it uses less digits than its factorization.

44221422412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144645 (or 144643 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 4422142 and 2412244, that added together give a palindrome (6834386).

The spelling of 44221422412244 in words is "forty-four trillion, two hundred twenty-one billion, four hundred twenty-two million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 773 1303 1546 2606 3092 5212 5411 8503 9121 10822 14333 17006 18242 21644 28666 34012 36484 57332 59521 100331 119042 142547 200662 238084 285094 401324 570188 997829 1007219 1568017 1995658 2014438 3136034 3991316 4028876 6272068 7050533 10976119 11079409 14101066 21952238 22158818 28202132 43904476 44317636 77555863 110188831 155111726 185738741 220377662 310223452 371477482 440755324 742954964 771321817 1212077141 1300171187 1542643634 2043126151 2424154282 2600342374 3085287268 4086252302 4848308564 5200684748 8172504604 8484539987 14301883057 16969079974 28603766114 33938159948 57207532228 143576046793 287152093586 574304187172 1005032327551 1579336514723 2010064655102 3158673029446 4020129310204 6317346058892 11055355603061 22110711206122 44221422412244