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4041400121 = 112611932837
BaseRepresentation
bin1111000011100010…
…1101111100111001
3101102122121101201222
43300320231330321
531234044300441
61505005121425
7202102222433
oct36070557471
911378541658
104041400121
1117942a0800
12949559275
134c5388625
142a4a4d653
15189c01d4b
hexf0e2df39

4041400121 has 24 divisors (see below), whose sum is σ = 4540016712. Its totient is φ = 3593779200.

The previous prime is 4041400093. The next prime is 4041400171. The reversal of 4041400121 is 1210041404.

It can be written as a sum of positive squares in 4 ways, for example, as 460574521 + 3580825600 = 21461^2 + 59840^2 .

It is not a de Polignac number, because 4041400121 - 210 = 4041399097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4041400121.

It is not an unprimeable number, because it can be changed into a prime (4041400171) 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 23 ways as a sum of consecutive naturals, for example, 1423115 + ... + 1425951.

It is an arithmetic number, because the mean of its divisors is an integer number (189167363).

Almost surely, 24041400121 is an apocalyptic number.

It is an amenable number.

4041400121 is a deficient number, since it is larger than the sum of its proper divisors (498616591).

4041400121 is a wasteful number, since it uses less digits than its factorization.

4041400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4041400121 is about 63572.0073695963. The cubic root of 4041400121 is about 1592.8588153500.

Adding to 4041400121 its reverse (1210041404), we get a palindrome (5251441525).

The spelling of 4041400121 in words is "four billion, forty-one million, four hundred thousand, one hundred twenty-one".

Divisors: 1 11 61 121 193 671 2123 2837 7381 11773 23353 31207 129503 173057 343277 547541 1424533 1903627 6022951 20939897 33400001 66252461 367400011 4041400121