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1404112412043 = 331123619773449
BaseRepresentation
bin10100011011101011100…
…111110001110110001011
311222020021000012222021000
4110123223213301312023
5141001110234141133
62553012413550043
7203305133402355
oct24335347616613
94866230188230
101404112412043
114a1531940330
121a81624a5323
13a253a8c6793
144bd608620d5
15267ce1dc413
hex146eb9f1d8b

1404112412043 has 128 divisors (see below), whose sum is σ = 2409917184000. Its totient is φ = 799582924800.

The previous prime is 1404112412009. The next prime is 1404112412063. The reversal of 1404112412043 is 3402142114041.

1404112412043 is a `hidden beast` number, since 1 + 4 + 0 + 411 + 2 + 41 + 204 + 3 = 666.

It is not a de Polignac number, because 1404112412043 - 26 = 1404112411979 is a prime.

It is a super-2 number, since 2×14041124120432 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1404112411998 and 1404112412016.

It is not an unprimeable number, because it can be changed into a prime (1404112412063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407105383 + ... + 407108831.

It is an arithmetic number, because the mean of its divisors is an integer number (18827478000).

Almost surely, 21404112412043 is an apocalyptic number.

1404112412043 is a deficient number, since it is larger than the sum of its proper divisors (1005804771957).

1404112412043 is a wasteful number, since it uses less digits than its factorization.

1404112412043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1404112412043 its reverse (3402142114041), we get a palindrome (4806254526084).

The spelling of 1404112412043 in words is "one trillion, four hundred four billion, one hundred twelve million, four hundred twelve thousand, forty-three".

Divisors: 1 3 9 11 23 27 33 61 69 99 183 207 253 297 549 621 671 759 977 1403 1647 2013 2277 2931 3449 4209 6039 6831 8793 10347 10747 12627 15433 18117 22471 26379 31041 32241 37881 37939 46299 59597 67413 79327 93123 96723 113817 138897 178791 202239 210389 237981 247181 290169 341451 416691 536373 606717 631167 655567 713943 741543 872597 1024353 1370731 1609119 1893501 1966701 2141829 2224629 2314279 2617791 3369673 4112193 4838947 5680503 5900103 6673887 6942837 7853373 10109019 12336579 14516841 15078041 17700309 20828511 23560119 30327057 37009737 37066403 43550523 45234123 53228417 62485533 77502479 90981171 111199209 130651569 135702369 159685251 205550053 232507437 333597627 407107107 479055753 616650159 697522311 852527269 1000792881 1437167259 1849950477 2092566933 2261050583 2557581807 4727651219 5549851431 6783151749 7672745421 14182953657 20349455247 23018236263 42548860971 52004163409 61048365741 127646582913 156012490227 468037470681 1404112412043