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4411242421144 = 231347518927761
BaseRepresentation
bin100000000110001001010…
…0010011001101110011000
3120121201012001212020110021
41000030102202121232120
51034233211024434034
613214255150200224
7633462461625136
oct100142242315630
916551161766407
104411242421144
111450885389409
125b2b181b3074
1325cc9464c280
14113710678756
1579b2e87b6b4
hex40312899b98

4411242421144 has 32 divisors (see below), whose sum is σ = 8909192255040. Its totient is φ = 2035529280000.

The previous prime is 4411242421141. The next prime is 4411242421249.

4411242421144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411242421141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3969777 + ... + 4957984.

It is an arithmetic number, because the mean of its divisors is an integer number (278412257970).

Almost surely, 24411242421144 is an apocalyptic number.

It is an amenable number.

4411242421144 is an abundant number, since it is smaller than the sum of its proper divisors (4497949833896).

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

4411242421144 is a wasteful number, since it uses less digits than its factorization.

4411242421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932531 (or 8932527 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 4411242421144 in words is "four trillion, four hundred eleven billion, two hundred forty-two million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 4751 9502 19004 38008 61763 123526 247052 494104 8927761 17855522 35711044 71422088 116060893 232121786 464243572 928487144 42415792511 84831585022 169663170044 339326340088 551405302643 1102810605286 2205621210572 4411242421144