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4133021132142 = 233717643171667
BaseRepresentation
bin111100001001001011010…
…000011010010101101110
3112122010001100102100202000
4330021023100122111232
51020203411402212032
612442403402313130
7604413054655650
oct74111320322556
915563040370660
104133021132142
111353893755021
125690104b87a6
1323c985873306
14104079b526d0
1572799188e7c
hex3c24b41a56e

4133021132142 has 64 divisors (see below), whose sum is σ = 11114006423040. Its totient is φ = 1111400638848.

The previous prime is 4133021132099. The next prime is 4133021132161. The reversal of 4133021132142 is 2412311203314.

4133021132142 is a `hidden beast` number, since 4 + 1 + 330 + 2 + 1 + 1 + 321 + 4 + 2 = 666.

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

It is a congruent number.

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, 321579408 + ... + 321592259.

It is an arithmetic number, because the mean of its divisors is an integer number (173656350360).

Almost surely, 24133021132142 is an apocalyptic number.

4133021132142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4133021132142 is an abundant number, since it is smaller than the sum of its proper divisors (6980985290898).

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

4133021132142 is a wasteful number, since it uses less digits than its factorization.

4133021132142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643171702 (or 643171696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4133021132142 its reverse (2412311203314), we get a palindrome (6545332335456).

The spelling of 4133021132142 in words is "four trillion, one hundred thirty-three billion, twenty-one million, one hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 643171667 1286343334 1929515001 3859030002 4502201669 5788545003 9004403338 10933918339 11577090006 13506605007 17365635009 21867836678 27013210014 32801755017 34731270018 40519815021 65603510034 76537428373 81039630042 98405265051 121559445063 153074856746 196810530102 229612285119 243118890126 295215795153 459224570238 590431590306 688836855357 1377673710714 2066510566071 4133021132142