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4001402131041 = 372930721402107
BaseRepresentation
bin111010001110100110001…
…001110001001001100001
3112011112022121001100010110
4322032212021301021201
51011024332421143131
612302115130321533
7562043321632530
oct72164611611141
915145277040113
104001402131041
111302a92206457
125475b95892a9
1323043b442183
14db951648317
156e144121646
hex3a3a6271261

4001402131041 has 32 divisors (see below), whose sum is σ = 6328175293440. Its totient is φ = 2200478930496.

The previous prime is 4001402131033. The next prime is 4001402131141. The reversal of 4001402131041 is 1401312041004.

It is not a de Polignac number, because 4001402131041 - 23 = 4001402131033 is a prime.

It is a super-2 number, since 2×40014021310412 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4001402130999 and 4001402131017.

It is not an unprimeable number, because it can be changed into a prime (4001402131141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10514091 + ... + 10888016.

It is an arithmetic number, because the mean of its divisors is an integer number (197755477920).

Almost surely, 24001402131041 is an apocalyptic number.

It is an amenable number.

4001402131041 is a deficient number, since it is larger than the sum of its proper divisors (2326773162399).

4001402131041 is a wasteful number, since it uses less digits than its factorization.

4001402131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402453.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4001402131041 its reverse (1401312041004), we get a palindrome (5402714172045).

The spelling of 4001402131041 in words is "four trillion, one billion, four hundred two million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 21 29 87 203 307 609 921 2149 6447 8903 26709 62321 186963 21402107 64206321 149814749 449444247 620661103 1861983309 4344627721 6570446849 13033883163 19711340547 45993127943 137979383829 190542958621 571628875863 1333800710347 4001402131041