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4141123414141 = 74117939804337
BaseRepresentation
bin111100010000101110001…
…100001010100001111101
3112122212222000021221011111
4330100232030022201331
51020322010043223031
612450223354322021
7605120620144240
oct74205614124175
915585860257144
104141123414141
11135727123244a
1256a6b1a29311
1324067734880c
14104607c43257
1572ac063a1b1
hex3c42e30a87d

4141123414141 has 16 divisors (see below), whose sum is σ = 4848420769920. Its totient is φ = 3462763000320.

The previous prime is 4141123414069. The next prime is 4141123414147. The reversal of 4141123414141 is 1414143211414.

It is a cyclic number.

It is not a de Polignac number, because 4141123414141 - 29 = 4141123413629 is a prime.

It is a super-2 number, since 2×41411234141412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141123414147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4746325 + ... + 5550661.

It is an arithmetic number, because the mean of its divisors is an integer number (303026298120).

Almost surely, 24141123414141 is an apocalyptic number.

4141123414141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4141123414141 is a deficient number, since it is larger than the sum of its proper divisors (707297355779).

4141123414141 is a wasteful number, since it uses less digits than its factorization.

4141123414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822324.

The product of its digits is 6144, while the sum is 31.

Adding to 4141123414141 its reverse (1414143211414), we get a palindrome (5555266625555).

The spelling of 4141123414141 in words is "four trillion, one hundred forty-one billion, one hundred twenty-three million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 7 41 287 17939 125573 735499 804337 5148493 5630359 32977817 230844719 14429001443 101003010101 591589059163 4141123414141