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1004424433224 = 233593312143019
BaseRepresentation
bin11101001110111000101…
…11001000111001001000
310120000121001202220212020
432213130113020321020
5112424030123330344
62045232021244440
7132365400546162
oct16473427107110
93500531686766
101004424433224
11357a79453083
121427b7863720
1373941b04a74
1436885cc1932
151b1d9dc9719
hexe9dc5c8e48

1004424433224 has 64 divisors (see below), whose sum is σ = 2561337504000. Its totient is φ = 328138916160.

The previous prime is 1004424433193. The next prime is 1004424433277. The reversal of 1004424433224 is 4223344244001.

1004424433224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10044244332243 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602814 + ... + 1540205.

It is an arithmetic number, because the mean of its divisors is an integer number (40020898500).

Almost surely, 21004424433224 is an apocalyptic number.

It is an amenable number.

1004424433224 is an abundant number, since it is smaller than the sum of its proper divisors (1556913070776).

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

1004424433224 is a wasteful number, since it uses less digits than its factorization.

1004424433224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143418 (or 2143414 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 1004424433224 its reverse (4223344244001), we get a palindrome (5227768677225).

The spelling of 1004424433224 in words is "one trillion, four billion, four hundred twenty-four million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 331 354 472 662 708 993 1324 1416 1986 2648 3972 7944 19529 39058 58587 78116 117174 156232 234348 468696 2143019 4286038 6429057 8572076 12858114 17144152 25716228 51432456 126438121 252876242 379314363 505752484 709339289 758628726 1011504968 1418678578 1517257452 2128017867 2837357156 3034514904 4256035734 5674714312 8512071468 17024142936 41851018051 83702036102 125553054153 167404072204 251106108306 334808144408 502212216612 1004424433224