Search a number
-
+
44234122134420 = 22325245745122969
BaseRepresentation
bin10100000111011000011110…
…01000110000001110010100
312210121202000000201102111100
422003230033020300032110
521244212440231300140
6234024513012110100
712213544532260251
oct1203541710601624
9183552000642440
1044234122134420
1113104649844529
124b64a52005330
131b8b34ba8c43a
14accd2b5ac428
1551a96eac3530
hex283b0f230394

44234122134420 has 36 divisors (see below), whose sum is σ = 134176837141620. Its totient is φ = 11795765902464.

The previous prime is 44234122134361. The next prime is 44234122134421. The reversal of 44234122134420 is 2443122143244.

44234122134420 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 4 + 1 + 221 + 3 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21495129328656 + 22738992805764 = 4636284^2 + 4768542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×442341221344202 (a number of 28 digits) contains 22 as substring.

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 (44234122134421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122872561305 + ... + 122872561664.

It is an arithmetic number, because the mean of its divisors is an integer number (3727134365045).

Almost surely, 244234122134420 is an apocalyptic number.

It is an amenable number.

44234122134420 is an abundant number, since it is smaller than the sum of its proper divisors (89942715007200).

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

44234122134420 is a wasteful number, since it uses less digits than its factorization.

44234122134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245745122984 (or 245745122979 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44234122134420 its reverse (2443122143244), we get a palindrome (46677244277664).

The spelling of 44234122134420 in words is "forty-four trillion, two hundred thirty-four billion, one hundred twenty-two million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 245745122969 491490245938 737235368907 982980491876 1228725614845 1474470737814 2211706106721 2457451229690 2948941475628 3686176844535 4423412213442 4914902459380 7372353689070 8846824426884 11058530533605 14744707378140 22117061067210 44234122134420