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4042134114004 = 227893251498937
BaseRepresentation
bin111010110100100001111…
…101111100111011010100
3112022102110021110110111001
4322310201331330323110
51012211242313122004
612332533014153044
7565014565032460
oct72644175747324
915272407413431
104042134114004
111319294369098
12553486652784
1323423005153c
14dd8d71174a0
1570229ee71a4
hex3ad21f7ced4

4042134114004 has 48 divisors (see below), whose sum is σ = 8177633735040. Its totient is φ = 1712348352000.

The previous prime is 4042134113987. The next prime is 4042134114019. The reversal of 4042134114004 is 4004114312404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7852024 + ... + 8350960.

It is an arithmetic number, because the mean of its divisors is an integer number (170367369480).

Almost surely, 24042134114004 is an apocalyptic number.

It is an amenable number.

4042134114004 is an abundant number, since it is smaller than the sum of its proper divisors (4135499621036).

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

4042134114004 is a wasteful number, since it uses less digits than its factorization.

4042134114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502288 (or 502286 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4042134114004 its reverse (4004114312404), we get a palindrome (8046248426408).

The spelling of 4042134114004 in words is "four trillion, forty-two billion, one hundred thirty-four million, one hundred fourteen thousand, four".

Divisors: 1 2 4 7 14 28 89 178 356 623 1246 2492 3251 6502 13004 22757 45514 91028 289339 498937 578678 997874 1157356 1995748 2025373 3492559 4050746 6985118 8101492 13970236 44405393 88810786 177621572 310837751 621675502 1243351004 1622044187 3244088374 6488176748 11354309309 22708618618 45417237236 144361932643 288723865286 577447730572 1010533528501 2021067057002 4042134114004