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1406130413415 = 3571329290912211
BaseRepresentation
bin10100011101100011111…
…001110101111101100111
311222102110122110001201120
4110131203321311331213
5141014223341212130
62553544542425023
7203406136210320
oct24354371657547
94872418401646
101406130413415
114a2377a62662
121a8626292173
13a279ca04630
144c0b2885447
152689b458910
hex14763e75f67

1406130413415 has 128 divisors (see below), whose sum is σ = 2865697228800. Its totient is φ = 572651735040.

The previous prime is 1406130413351. The next prime is 1406130413483. The reversal of 1406130413415 is 5143140316041.

It is not a de Polignac number, because 1406130413415 - 26 = 1406130413351 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115146660 + ... + 115158870.

It is an arithmetic number, because the mean of its divisors is an integer number (22388259600).

Almost surely, 21406130413415 is an apocalyptic number.

1406130413415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1406130413415 is an abundant number, since it is smaller than the sum of its proper divisors (1459566815385).

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

1406130413415 is a wasteful number, since it uses less digits than its factorization.

1406130413415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 1406130413415 its reverse (5143140316041), we get a palindrome (6549270729456).

The spelling of 1406130413415 in words is "one trillion, four hundred six billion, one hundred thirty million, four hundred thirteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 13 15 21 29 35 39 65 87 91 105 145 195 203 273 377 435 455 609 1015 1131 1365 1885 2639 2909 3045 5655 7917 8727 12211 13195 14545 20363 36633 37817 39585 43635 61055 61089 84361 85477 101815 113451 158743 183165 189085 253083 256431 264719 305445 354119 421805 427385 476229 567255 590527 793715 794157 1062357 1096693 1111201 1265415 1282155 1323595 1770595 1771581 2381145 2478833 2952635 3290079 3333603 3970785 4603547 5311785 5483465 5556005 7436499 7676851 8857905 12394165 13810641 16450395 16668015 23017735 23030553 32224829 35521799 37182495 38384255 69053205 96674487 106565397 115152765 161124145 177608995 248652593 461783387 483372435 532826985 745957779 1030132171 1243262965 1385350161 2308916935 3090396513 3232483709 3729788895 5150660855 6926750805 7210925197 9697451127 13391718223 15451982565 16162418545 21632775591 36054625985 40175154669 48487255635 66958591115 93742027561 108163877955 200875773345 281226082683 468710137805 1406130413415