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4113240142144 = 26723339404891
BaseRepresentation
bin111011110110110000001…
…101111011000101000000
3112120012222202222221201211
4323312300031323011000
51014342403434022034
612425332455135504
7603112632223120
oct73666015730500
915505882887654
104113240142144
111346462912501
1256520b974594
1323ab5267a5c3
1410312099ac80
1571edc77ed64
hex3bdb037b140

4113240142144 has 56 divisors (see below), whose sum is σ = 9368276643648. Its totient is φ = 1755251420160.

The previous prime is 4113240142133. The next prime is 4113240142153. The reversal of 4113240142144 is 4412410423114.

4113240142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19598062 + ... + 19806829.

Almost surely, 24113240142144 is an apocalyptic number.

It is an amenable number.

4113240142144 is an abundant number, since it is smaller than the sum of its proper divisors (5255036501504).

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

4113240142144 is a wasteful number, since it uses less digits than its factorization.

4113240142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39405143 (or 39405133 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 4113240142144 its reverse (4412410423114), we get a palindrome (8525650565258).

The spelling of 4113240142144 in words is "four trillion, one hundred thirteen billion, two hundred forty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 233 448 466 932 1631 1864 3262 3728 6524 7456 13048 14912 26096 52192 104384 39404891 78809782 157619564 275834237 315239128 551668474 630478256 1103336948 1260956512 2206673896 2521913024 4413347792 8826695584 9181339603 17653391168 18362679206 36725358412 64269377221 73450716824 128538754442 146901433648 257077508884 293802867296 514155017768 587605734592 1028310035536 2056620071072 4113240142144