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4344343433540 = 2251124143784957
BaseRepresentation
bin111111001101111111000…
…011000001000101000100
3120101022111202121112212122
4333031333003001011010
51032134203404333130
613123432552505112
7625603610621015
oct77157703010504
916338452545778
104344343433540
11142547567a900
125a1b679ab198
132568927c56c6
141103a584100c
15780166142e5
hex3f37f0c1144

4344343433540 has 72 divisors (see below), whose sum is σ = 10272476566296. Its totient is φ = 1541230451200.

The previous prime is 4344343433527. The next prime is 4344343433557. The reversal of 4344343433540 is 453343434434.

4344343433540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 239481039424 + 4104862394116 = 489368^2 + 2026046^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4344343433491 and 4344343433500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21793259 + ... + 21991698.

It is an arithmetic number, because the mean of its divisors is an integer number (142673285643).

Almost surely, 24344343433540 is an apocalyptic number.

It is an amenable number.

4344343433540 is an abundant number, since it is smaller than the sum of its proper divisors (5928133132756).

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

4344343433540 is a wasteful number, since it uses less digits than its factorization.

4344343433540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43785029 (or 43785016 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 44.

Adding to 4344343433540 its reverse (453343434434), we get a palindrome (4797686867974).

The spelling of 4344343433540 in words is "four trillion, three hundred forty-four billion, three hundred forty-three million, four hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 43784957 87569914 175139828 218924785 437849570 481634527 875699140 963269054 1795183237 1926538108 2408172635 3590366474 4816345270 5297979797 7180732948 8975916185 9632690540 10595959594 17951832370 19747015607 21191919188 26489898985 35903664740 39494031214 52979797970 78988062428 98735078035 105959595940 197470156070 217217171677 394940312140 434434343354 868868686708 1086085858385 2172171716770 4344343433540