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1041400041 = 31141799743
BaseRepresentation
bin111110000100101…
…000000011101001
32200120120121021220
4332010220003221
54113044300131
6251200452253
734543516503
oct7604500351
92616517256
101041400041
114949302a0
1225091a089
131379a4056
149c446d73
156165ce96
hex3e1280e9

1041400041 has 32 divisors (see below), whose sum is σ = 1571512320. Its totient is φ = 607900800.

The previous prime is 1041400037. The next prime is 1041400043. The reversal of 1041400041 is 1400041401.

It is not a de Polignac number, because 1041400041 - 22 = 1041400037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1041400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102016 + ... + 111758.

It is an arithmetic number, because the mean of its divisors is an integer number (49109760).

Almost surely, 21041400041 is an apocalyptic number.

1041400041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1041400041 is a deficient number, since it is larger than the sum of its proper divisors (530112279).

1041400041 is a wasteful number, since it uses less digits than its factorization.

1041400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1041400041 is about 32270.7304069803. The cubic root of 1041400041 is about 1013.6138360866.

Adding to 1041400041 its reverse (1400041401), we get a palindrome (2441441442).

The spelling of 1041400041 in words is "one billion, forty-one million, four hundred thousand, forty-one".

Divisors: 1 3 11 33 41 79 123 237 451 869 1353 2607 3239 9717 9743 29229 35629 106887 107173 321519 399463 769697 1198389 2309091 4394093 8466667 13182279 25400001 31557577 94672731 347133347 1041400041