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1414121044110 = 2351759379124001
BaseRepresentation
bin10100100101000000001…
…011101011100010001110
312000012002112020011100120
4110211000023223202032
5141132104441402420
63001345505405410
7204111144355605
oct24450013534216
95005075204316
101414121044110
114a57a8510785
121aa096339866
13a3474316c88
144c62dbd0a3c
1526bb7c02d40
hex149402eb88e

1414121044110 has 128 divisors (see below), whose sum is σ = 3664110297600. Its totient is φ = 347977728000.

The previous prime is 1414121044069. The next prime is 1414121044151. The reversal of 1414121044110 is 114401214141.

It is an interprime number because it is at equal distance from previous prime (1414121044069) and next prime (1414121044151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11342110 + ... + 11466110.

It is an arithmetic number, because the mean of its divisors is an integer number (28625861700).

Almost surely, 21414121044110 is an apocalyptic number.

1414121044110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414121044110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832055148800).

1414121044110 is an abundant number, since it is smaller than the sum of its proper divisors (2249989253490).

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

1414121044110 is a wasteful number, since it uses less digits than its factorization.

1414121044110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124466.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1414121044110 its reverse (114401214141), we get a palindrome (1528522258251).

The spelling of 1414121044110 in words is "one trillion, four hundred fourteen billion, one hundred twenty-one million, forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 170 177 255 295 354 379 510 590 758 885 1003 1137 1770 1895 2006 2274 3009 3790 5015 5685 6018 6443 10030 11370 12886 15045 19329 22361 30090 32215 38658 44722 64430 67083 96645 111805 124001 134166 193290 223610 248002 335415 372003 380137 620005 670830 744006 760274 1140411 1240010 1860015 1900685 2108017 2280822 3720030 3801370 4216034 5702055 6324051 7316059 10540085 11404110 12648102 14632118 21080170 21948177 31620255 36580295 43896354 46996379 63240510 73160590 93992758 109740885 124373003 140989137 219481770 234981895 248746006 281978274 373119009 469963790 621865015 704945685 746238018 798938443 1243730030 1409891370 1597876886 1865595045 2396815329 2772786361 3731190090 3994692215 4793630658 5545572722 7989384430 8318359083 11984076645 13863931805 16636718166 23968153290 27727863610 41591795415 47137368137 83183590830 94274736274 141412104411 235686840685 282824208822 471373681370 707060522055 1414121044110