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1323014406444 = 223317876855139
BaseRepresentation
bin10011010000001001110…
…011011100000100101100
311200110221011000102202000
4103100021303130010230
5133134013142001234
62451441234132300
7164404346622303
oct23201163340454
94613834012660
101323014406444
114700a6161405
121944aaa21090
13979b515ba13
1448069d4743a
152463462d899
hex13409cdc12c

1323014406444 has 48 divisors (see below), whose sum is σ = 3431957289600. Its totient is φ = 440757952848.

The previous prime is 1323014406407. The next prime is 1323014406473. The reversal of 1323014406444 is 4446044103231.

1323014406444 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 1 + 4 + 4 + 0 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1323014406399 and 1323014406408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3234574 + ... + 3620565.

It is an arithmetic number, because the mean of its divisors is an integer number (71499110200).

Almost surely, 21323014406444 is an apocalyptic number.

It is an amenable number.

1323014406444 is an abundant number, since it is smaller than the sum of its proper divisors (2108942883156).

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

1323014406444 is a wasteful number, since it uses less digits than its factorization.

1323014406444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856939 (or 6856931 counting only the distinct ones).

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

Adding to 1323014406444 its reverse (4446044103231), we get a palindrome (5769058509675).

The spelling of 1323014406444 in words is "one trillion, three hundred twenty-three billion, fourteen million, four hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1787 3574 5361 7148 10722 16083 21444 32166 48249 64332 96498 192996 6855139 13710278 20565417 27420556 41130834 61696251 82261668 123392502 185088753 246785004 370177506 740355012 12250133393 24500266786 36750400179 49000533572 73500800358 110251200537 147001600716 220502401074 330753601611 441004802148 661507203222 1323014406444