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1414400554413 = 337211639715193
BaseRepresentation
bin10100100101010000110…
…101111011010110101101
312000012211000011202102000
4110211100311323112231
5141133143020220123
63001433332322513
7204121110226500
oct24452065732655
95005730152360
101414400554413
114a593126aa30
121aa153a73439
13a34ba1bc7a2
144c658d8d137
1526bd2515b43
hex14950d7b5ad

1414400554413 has 96 divisors (see below), whose sum is σ = 2659698760320. Its totient is φ = 734590321920.

The previous prime is 1414400554403. The next prime is 1414400554507. The reversal of 1414400554413 is 3144550044141.

1414400554413 is a `hidden beast` number, since 14 + 14 + 40 + 0 + 554 + 41 + 3 = 666.

It is not a de Polignac number, because 1414400554413 - 25 = 1414400554381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414400554403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93087945 + ... + 93103137.

It is an arithmetic number, because the mean of its divisors is an integer number (27705195420).

Almost surely, 21414400554413 is an apocalyptic number.

It is an amenable number.

1414400554413 is a deficient number, since it is larger than the sum of its proper divisors (1245298205907).

1414400554413 is a wasteful number, since it uses less digits than its factorization.

1414400554413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21624 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1414400554413 its reverse (3144550044141), we get a palindrome (4558950598554).

The spelling of 1414400554413 in words is "one trillion, four hundred fourteen billion, four hundred million, five hundred fifty-four thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 6397 14553 15193 19191 44779 45579 57573 70367 106351 134337 136737 167123 172719 211101 313453 319053 403011 410211 492569 501369 633303 744457 940359 957159 1169861 1209033 1477707 1504107 1899909 2233371 2821077 2871477 3447983 3509583 4433121 4512321 6700113 8189027 8463231 10343949 10528749 13299363 20100339 24567081 31031847 31586247 73701243 93095541 97189621 221103729 291568863 680327347 874706589 1069085831 2040982041 2624119767 3207257493 4762291429 6122946123 7483600817 9621772479 14286874287 18368838369 22450802451 28865317437 42860622861 52385205719 67352407353 128581868583 157155617157 202057222059 471466851471 1414400554413