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141414221304140 = 22517536140320887
BaseRepresentation
bin100000001001110110010000…
…011011010101000101001100
3200112201001211020010102212012
4200021312100123111011030
5122013412311123213030
61220432444005400352
741533561143032201
oct4011662033250514
9615631736112765
10141414221304140
11410714862a0854
1213a3b0347090b8
1360ba3c472c625
1426cc6b0539ca8
151153795de6095
hex809d906d514c

141414221304140 has 24 divisors (see below), whose sum is σ = 296971565581152. Its totient is φ = 56565364551680.

The previous prime is 141414221304089. The next prime is 141414221304173. The reversal of 141414221304140 is 41403122414141.

It is a super-2 number, since 2×1414142213041402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141414221304097 and 141414221304106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16653224 + ... + 23667663.

It is an arithmetic number, because the mean of its divisors is an integer number (12373815232548).

Almost surely, 2141414221304140 is an apocalyptic number.

141414221304140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141414221304140 is an abundant number, since it is smaller than the sum of its proper divisors (155557344277012).

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

141414221304140 is a wasteful number, since it uses less digits than its factorization.

141414221304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40496257 (or 40496255 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 141414221304140 its reverse (41403122414141), we get a palindrome (182817343718281).

The spelling of 141414221304140 in words is "one hundred forty-one trillion, four hundred fourteen billion, two hundred twenty-one million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 175361 350722 701444 876805 1753610 3507220 40320887 80641774 161283548 201604435 403208870 806417740 7070711065207 14141422130414 28282844260828 35353555326035 70707110652070 141414221304140