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4434224121 = 331783239487
BaseRepresentation
bin1000010000100110…
…01110001111111001
3102110000202220222000
410020103032033321
533040130132441
62012000451213
7214612166055
oct41023161771
912400686860
104434224121
111976005238
12a39019b09
13558886872
14300ca6c65
151ae4492b6
hex1084ce3f9

4434224121 has 64 divisors (see below), whose sum is σ = 7083417600. Its totient is φ = 2731615488.

The previous prime is 4434224089. The next prime is 4434224153. The reversal of 4434224121 is 1214224344.

4434224121 is a `hidden beast` number, since 4 + 434 + 224 + 1 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4434224089) and next prime (4434224153).

It is not a de Polignac number, because 4434224121 - 25 = 4434224089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4434224191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9104940 + ... + 9105426.

It is an arithmetic number, because the mean of its divisors is an integer number (110678400).

Almost surely, 24434224121 is an apocalyptic number.

It is an amenable number.

4434224121 is a deficient number, since it is larger than the sum of its proper divisors (2649193479).

4434224121 is a wasteful number, since it uses less digits than its factorization.

4434224121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4434224121 is about 66589.9701231349. The cubic root of 4434224121 is about 1642.8801413660.

Adding to 4434224121 its reverse (1214224344), we get a palindrome (5648448465).

The spelling of 4434224121 in words is "four billion, four hundred thirty-four million, two hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 83 153 239 249 459 487 717 747 1411 1461 2151 2241 4063 4233 4383 6453 8279 12189 12699 13149 19837 24837 36567 38097 40421 59511 74511 109701 116393 121263 178533 223533 337229 349179 363789 535599 687157 1011687 1047537 1091367 1978681 2061471 3035061 3142611 5936043 6184413 9105183 9660619 17808129 18553239 28981857 53424387 86945571 164230523 260836713 492691569 1478074707 4434224121