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1434222031311 = 3719371317121
BaseRepresentation
bin10100110111101110010…
…010110111000111001111
312002002222101210010000000
4110313232102313013033
5141444241320000221
63014512243335343
7205422234056046
oct24675622670717
95062871703000
101434222031311
11503282a459a3
121b1b66081553
13a53288bc844
144d5b968355d
152749276ae26
hex14dee4b71cf

1434222031311 has 128 divisors (see below), whose sum is σ = 2343491251200. Its totient is φ = 874492070400.

The previous prime is 1434222031301. The next prime is 1434222031339. The reversal of 1434222031311 is 1131302224341.

1434222031311 is a `hidden beast` number, since 1 + 4 + 3 + 422 + 203 + 1 + 31 + 1 = 666.

It is not a de Polignac number, because 1434222031311 - 29 = 1434222030799 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434222031301) 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, 201403831 + ... + 201410951.

It is an arithmetic number, because the mean of its divisors is an integer number (18308525400).

Almost surely, 21434222031311 is an apocalyptic number.

1434222031311 is a deficient number, since it is larger than the sum of its proper divisors (909269219889).

1434222031311 is an equidigital number, since it uses as much as digits as its factorization.

1434222031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1434222031311 its reverse (1131302224341), we get a palindrome (2565524255652).

The spelling of 1434222031311 in words is "one trillion, four hundred thirty-four billion, two hundred twenty-two million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 19 27 37 57 81 111 131 171 243 333 393 513 703 729 999 1179 1539 2109 2187 2489 2997 3537 4617 4847 6327 7121 7467 8991 10611 13851 14541 18981 21363 22401 26973 31833 41553 43623 56943 64089 67203 80919 92093 95499 130869 135299 170829 192267 201609 263477 276279 286497 392607 405897 512487 576801 604827 790431 828837 932851 1177821 1217691 1537461 1730403 1814481 2371293 2486511 2798553 3533463 3653073 5006063 5191209 5443443 7113879 7459533 8395659 10600389 10959219 15018189 15573627 17724169 21341637 22378599 25186977 32877657 34515487 45054567 53172507 64024911 67135797 75560931 98632971 103546461 135163701 159517521 192074733 201407391 226682793 295898913 310639383 405491103 478552563 576224199 655794253 680048379 931918149 1216473309 1435657689 1967382759 2040145137 2795754447 3649419927 4306973067 5902148277 8387263341 10948259781 12920919201 17706444831 25161790023 38762757603 53119334493 75485370069 159358003479 478074010437 1434222031311