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1321123140414 = 233711378587309
BaseRepresentation
bin10011001110011001000…
…100110101001100111110
311200022001100021011111000
4103032121010311030332
5133121130010443124
62450525433511130
7164306443260210
oct23163104651476
94608040234430
101321123140414
1146a315631230
121940615724a6
13977733956ac
1447d2aab45b0
15245735986c9
hex1339913533e

1321123140414 has 128 divisors (see below), whose sum is σ = 3759180825600. Its totient is φ = 333874535040.

The previous prime is 1321123140413. The next prime is 1321123140457. The reversal of 1321123140414 is 4140413211231.

It is a happy number.

1321123140414 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 231 + 4 + 0 + 414 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321123140413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4139809 + ... + 4447500.

It is an arithmetic number, because the mean of its divisors is an integer number (29368600200).

Almost surely, 21321123140414 is an apocalyptic number.

1321123140414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1321123140414 is an abundant number, since it is smaller than the sum of its proper divisors (2438057685186).

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

1321123140414 is a wasteful number, since it uses less digits than its factorization.

1321123140414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587375 (or 8587369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1321123140414 its reverse (4140413211231), we get a palindrome (5461536351645).

The spelling of 1321123140414 in words is "one trillion, three hundred twenty-one billion, one hundred twenty-three million, one hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 99 111 126 154 189 198 222 231 259 297 333 378 407 462 518 594 666 693 777 814 999 1221 1386 1554 1998 2079 2331 2442 2849 3663 4158 4662 5698 6993 7326 8547 10989 13986 17094 21978 25641 51282 76923 153846 8587309 17174618 25761927 51523854 60111163 77285781 94460399 120222326 154571562 180333489 188920798 231857343 283381197 317730433 360666978 463714686 541000467 566762394 635460866 661222793 850143591 953191299 1082000934 1322445586 1623001401 1700287182 1906382598 1983668379 2224113031 2550430773 2859573897 3246002802 3495034763 3967336758 4448226062 5100861546 5719147794 5951005137 6672339093 6990069526 8578721691 10485104289 11902010274 13344678186 17157443382 17853015411 20017017279 20970208578 24465243341 31455312867 35706030822 40034034558 48930486682 60051051837 62910625734 73395730023 94365938601 120102103674 146791460046 188731877202 220187190069 440374380138 660561570207 1321123140414