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4144442444415 = 3257131019993203
BaseRepresentation
bin111100010011110100000…
…001010000101001111111
3112200012112022122010202200
4330103310001100221333
51020400304231210130
612451533000522543
7605266101346320
oct74236401205177
915605468563680
104144442444415
111358714794a79
1256b279480453
13240a85b61a60
14104840974447
1572c16beb760
hex3c4f4050a7f

4144442444415 has 96 divisors (see below), whose sum is σ = 8850162746880. Its totient is φ = 1747145611008.

The previous prime is 4144442444407. The next prime is 4144442444449. The reversal of 4144442444415 is 5144442444414.

4144442444415 is a `hidden beast` number, since 4 + 144 + 4 + 424 + 44 + 41 + 5 = 666.

4144442444415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144442444415 - 23 = 4144442444407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3676204 + ... + 4669406.

It is an arithmetic number, because the mean of its divisors is an integer number (92189195280).

Almost surely, 24144442444415 is an apocalyptic number.

4144442444415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4144442444415 is an abundant number, since it is smaller than the sum of its proper divisors (4705720302465).

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

4144442444415 is a wasteful number, since it uses less digits than its factorization.

4144442444415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994253 (or 994250 counting only the distinct ones).

The product of its digits is 2621440, while the sum is 45.

Adding to 4144442444415 its reverse (5144442444414), we get a palindrome (9288884888829).

Subtracting 4144442444415 from its reverse (5144442444414), we obtain a palindrome (999999999999).

The spelling of 4144442444415 in words is "four trillion, one hundred forty-four billion, four hundred forty-two million, four hundred forty-four thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1019 1365 3057 4095 5095 7133 9171 13247 15285 21399 35665 39741 45855 64197 66235 92729 106995 119223 198705 278187 320985 463645 596115 834561 993203 1390935 2979609 4172805 4966015 6952421 8938827 12911639 14898045 20857263 34762105 38734917 44694135 62571789 64558195 90381473 104286315 116204751 193674585 271144419 312858945 451907365 581023755 813433257 1012073857 1355722095 3036221571 4067166285 5060369285 7084516999 9108664713 13156960141 15181107855 21253550997 35422584995 39470880423 45543323565 63760652991 65784800705 92098720987 106267754985 118412641269 197354402115 276296162961 318803264955 460493604935 592063206345 828888488883 1381480814805 4144442444415