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4413144242331 = 35111978380751
BaseRepresentation
bin100000000111000001111…
…1001010001100010011011
3120121220002121110202200000
41000032003321101202123
51034301104411223311
613215212004544043
7633560554061256
oct100160371214233
916556077422600
104413144242331
111451670968860
125b33690b2023
1326020866ca56
1411385109809d
1579be17e9056
hex40383e5189b

4413144242331 has 48 divisors (see below), whose sum is σ = 7248210697728. Its totient is φ = 2661055740000.

The previous prime is 4413144242281. The next prime is 4413144242399. The reversal of 4413144242331 is 1332424413144.

4413144242331 is a `hidden beast` number, since 4 + 4 + 1 + 314 + 4 + 2 + 4 + 2 + 331 = 666.

It is not a de Polignac number, because 4413144242331 - 27 = 4413144242203 is a prime.

It is a super-2 number, since 2×44131442423312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4413144242531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3663795 + ... + 4716956.

It is an arithmetic number, because the mean of its divisors is an integer number (151004389536).

Almost surely, 24413144242331 is an apocalyptic number.

4413144242331 is a deficient number, since it is larger than the sum of its proper divisors (2835066455397).

4413144242331 is a wasteful number, since it uses less digits than its factorization.

4413144242331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380974 (or 8380962 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4413144242331 its reverse (1332424413144), we get a palindrome (5745568655475).

The spelling of 4413144242331 in words is "four trillion, four hundred thirteen billion, one hundred forty-four million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 197 243 297 591 891 1773 2167 2673 5319 6501 15957 19503 47871 58509 175527 526581 8380751 25142253 75426759 92188261 226280277 276564783 678840831 829694349 1651007947 2036522493 2489083047 4953023841 7467249141 14859071523 18161087417 22401747423 44577214569 54483262251 133731643707 163449786753 401194931121 490349360259 1471048080777 4413144242331