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1144110004024 = 2313175312209831
BaseRepresentation
bin10000101001100010010…
…001010011011100111000
311001101010222211010211111
4100221202101103130320
5122221114130112044
62233332532010104
7145442053401241
oct20514221233470
94041128733744
101144110004024
1140123a2a7979
121658a0160934
1383b734b6380
143d537861cc8
151eb631dbb34
hex10a62453738

1144110004024 has 64 divisors (see below), whose sum is σ = 2492270907840. Its totient is φ = 487611770880.

The previous prime is 1144110004001. The next prime is 1144110004027. The reversal of 1144110004024 is 4204000114411.

It is a junction number, because it is equal to n+sod(n) for n = 1144110003986 and 1144110004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144110004027) by changing a digit.

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, 6011212 + ... + 6198619.

It is an arithmetic number, because the mean of its divisors is an integer number (38941732935).

Almost surely, 21144110004024 is an apocalyptic number.

It is an amenable number.

1144110004024 is an abundant number, since it is smaller than the sum of its proper divisors (1348160903816).

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

1144110004024 is a wasteful number, since it uses less digits than its factorization.

1144110004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209920 (or 12209916 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1144110004024 its reverse (4204000114411), we get a palindrome (5348110118435).

The spelling of 1144110004024 in words is "one trillion, one hundred forty-four billion, one hundred ten million, four thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 884 901 1378 1768 1802 2756 3604 5512 7208 11713 23426 46852 93704 12209831 24419662 48839324 97678648 158727803 207567127 317455606 415134254 634911212 647121043 830268508 1269822424 1294242086 1660537016 2588484172 2698372651 5176968344 5396745302 8412573559 10793490604 11001057731 16825147118 21586981208 22002115462 33650294236 44004230924 67300588472 88008461848 143013750503 286027501006 572055002012 1144110004024