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4141013331120 = 243517254222213
BaseRepresentation
bin111100010000100111101…
…000001110110010110000
3112122212200100011010122120
4330100213220032302300
51020321243403043440
612450204423034240
7605115112355421
oct74204750166260
915585610133576
104141013331120
111357215084446
1256a680b9b980
1324065a5b4733
141045d7389648
1572ab5b42dd0
hex3c427a0ecb0

4141013331120 has 40 divisors (see below), whose sum is σ = 12837141327216. Its totient is φ = 1104270221568.

The previous prime is 4141013331001. The next prime is 4141013331127. The reversal of 4141013331120 is 211333101414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4141013331127) 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 7 ways as a sum of consecutive naturals, for example, 8627110867 + ... + 8627111346.

Almost surely, 24141013331120 is an apocalyptic number.

4141013331120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141013331120 is an abundant number, since it is smaller than the sum of its proper divisors (8696127996096).

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

4141013331120 is a wasteful number, since it uses less digits than its factorization.

4141013331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17254222229 (or 17254222223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 4141013331120 its reverse (211333101414), we get a palindrome (4352346432534).

The spelling of 4141013331120 in words is "four trillion, one hundred forty-one billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17254222213 34508444426 51762666639 69016888852 86271111065 103525333278 138033777704 172542222130 207050666556 258813333195 276067555408 345084444260 414101333112 517626666390 690168888520 828202666224 1035253332780 1380337777040 2070506665560 4141013331120