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4133120403042 = 2331375531101009
BaseRepresentation
bin111100001001010001001…
…011000110011001100010
3112122010022021012211211000
4330021101023012121202
51020204112310344132
612442421310132430
7604415401523331
oct74112113063142
915563267184730
104133120403042
111353934798794
125690397b1116
1323c9a02bcca7
14104088dd3d18
15727a2c4787c
hex3c2512c6662

4133120403042 has 64 divisors (see below), whose sum is σ = 9253518019200. Its totient is φ = 1367389739520.

The previous prime is 4133120403023. The next prime is 4133120403077. The reversal of 4133120403042 is 2403040213314.

4133120403042 is a `hidden beast` number, since 4 + 1 + 3 + 312 + 0 + 40 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4133120402997 and 4133120403015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40867834 + ... + 40968842.

It is an arithmetic number, because the mean of its divisors is an integer number (144586219050).

Almost surely, 24133120403042 is an apocalyptic number.

4133120403042 is an abundant number, since it is smaller than the sum of its proper divisors (5120397616158).

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

4133120403042 is a wasteful number, since it uses less digits than its factorization.

4133120403042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106688 (or 106682 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4133120403042 its reverse (2403040213314), we get a palindrome (6536160616356).

The spelling of 4133120403042 in words is "four trillion, one hundred thirty-three billion, one hundred twenty million, four hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 822 1233 2466 3699 5531 7398 11062 16593 33186 49779 99558 101009 149337 202018 298674 303027 606054 757747 909081 1515494 1818162 2273241 2727243 4546482 5454486 6819723 13639446 13838233 20459169 27676466 40918338 41514699 83029398 124544097 249088194 373632291 558680779 747264582 1117361558 1676042337 3352084674 5028127011 10056254022 15084381033 30168762066 76539266723 153078533446 229617800169 459235600338 688853400507 1377706801014 2066560201521 4133120403042