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4278746414142 = 2322971227508583
BaseRepresentation
bin111110010000111001001…
…010001111110000111110
3120011001012012020200220200
4332100321022033300332
51030100333040223032
613033343505024330
7621062216302344
oct76207112176076
916131165220820
104278746414142
1113aa673893282
125912bb6250a6
1325063a615925
1410b1418bb994
157647782a47c
hex3e43928fc3e

4278746414142 has 96 divisors (see below), whose sum is σ = 9768230484480. Its totient is φ = 1351688896320.

The previous prime is 4278746414099. The next prime is 4278746414143. The reversal of 4278746414142 is 2414146478724.

4278746414142 is a `hidden beast` number, since 4 + 2 + 7 + 87 + 4 + 6 + 414 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278746414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8158783 + ... + 8667365.

It is an arithmetic number, because the mean of its divisors is an integer number (101752400880).

Almost surely, 24278746414142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278746414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884115242240).

4278746414142 is an abundant number, since it is smaller than the sum of its proper divisors (5489484070338).

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

4278746414142 is a wasteful number, since it uses less digits than its factorization.

4278746414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508918 (or 508915 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 4278746414142 in words is "four trillion, two hundred seventy-eight billion, seven hundred forty-six million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 174 213 227 261 426 454 522 639 681 1278 1362 2043 2059 4086 4118 6177 6583 12354 13166 16117 18531 19749 32234 37062 39498 48351 59247 96702 118494 145053 290106 467393 508583 934786 1017166 1402179 1525749 2804358 3051498 4206537 4577247 8413074 9154494 14748907 29497814 36109393 44246721 72218786 88493442 108328179 115448341 132740163 216656358 230896682 265480326 324984537 346345023 649969074 692690046 1039035069 1047172397 2078070138 2094344794 3141517191 3348001889 6283034382 6696003778 8196832211 9424551573 10044005667 16393664422 18849103146 20088011334 24590496633 30132017001 49180993266 60264034002 73771489899 147542979798 237708134119 475416268238 713124402357 1426248804714 2139373207071 4278746414142