Search a number
-
+
4141042401144 = 2331123367320887
BaseRepresentation
bin111100010000101001010…
…111000111111101111000
3112122212202100212001020010
4330100221113013331320
51020321323323314034
612450211342101520
7605115614431605
oct74205127077570
915585670761203
104141042401144
11135722a52a160
1256a68a87a8a0
1324066362232c
141045db1956ac
1572ab84863e9
hex3c4295c7f78

4141042401144 has 64 divisors (see below), whose sum is σ = 11342223210240. Its totient is φ = 1249475644160.

The previous prime is 4141042401137. The next prime is 4141042401151. The reversal of 4141042401144 is 4411042401414.

It is an interprime number because it is at equal distance from previous prime (4141042401137) and next prime (4141042401151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33598932 + ... + 33721955.

It is an arithmetic number, because the mean of its divisors is an integer number (177222237660).

Almost surely, 24141042401144 is an apocalyptic number.

4141042401144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4141042401144 is an abundant number, since it is smaller than the sum of its proper divisors (7201180809096).

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

4141042401144 is a wasteful number, since it uses less digits than its factorization.

4141042401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67321140 (or 67321136 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 4141042401144 its reverse (4411042401414), we get a palindrome (8552084802558).

The spelling of 4141042401144 in words is "four trillion, one hundred forty-one billion, forty-two million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1398 1864 2563 2796 5126 5592 7689 10252 15378 20504 30756 61512 67320887 134641774 201962661 269283548 403925322 538567096 740529757 807850644 1481059514 1615701288 2221589271 2962119028 4443178542 5924238056 8886357084 15685766671 17772714168 31371533342 47057300013 62743066684 94114600026 125486133368 172543433381 188229200052 345086866762 376458400104 517630300143 690173733524 1035260600286 1380347467048 2070521200572 4141042401144