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1023314441004 = 223318795042647
BaseRepresentation
bin11101110010000100100…
…10110011001100101100
310121211100112122202001000
432321002102303030230
5113231221444103004
62102034255520300
7133634454142152
oct16710222631454
93554315582030
101023314441004
11364a92362559
121463a9b29090
137566254086b
14377589c73d2
151b943488c39
hexee424b332c

1023314441004 has 48 divisors (see below), whose sum is σ = 2654449907200. Its totient is φ = 340923210768.

The previous prime is 1023314441003. The next prime is 1023314441011. The reversal of 1023314441004 is 4001444133201.

1023314441004 is a `hidden beast` number, since 1 + 0 + 233 + 14 + 4 + 410 + 0 + 4 = 666.

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 (1023314441003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2318392 + ... + 2724255.

Almost surely, 21023314441004 is an apocalyptic number.

It is an amenable number.

1023314441004 is an abundant number, since it is smaller than the sum of its proper divisors (1631135466196).

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

1023314441004 is a wasteful number, since it uses less digits than its factorization.

1023314441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044539 (or 5044531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1023314441004 its reverse (4001444133201), we get a palindrome (5024758574205).

The spelling of 1023314441004 in words is "one trillion, twenty-three billion, three hundred fourteen million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1879 3758 5637 7516 11274 16911 22548 33822 50733 67644 101466 202932 5042647 10085294 15127941 20170588 30255882 45383823 60511764 90767646 136151469 181535292 272302938 544605876 9475133713 18950267426 28425401139 37900534852 56850802278 85276203417 113701604556 170552406834 255828610251 341104813668 511657220502 1023314441004