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1434214224114 = 237533891656301
BaseRepresentation
bin10100110111101101110…
…101000101000011110010
312002002221212002110112120
4110313231311011003302
5141444232320132424
63014511404135110
7205422110521410
oct24675565050362
95062855073476
101434214224114
115032795a3271
121b1b63537496
13a53270b80b9
144d5b86102b0
1527491c27a79
hex14dedd450f2

1434214224114 has 64 divisors (see below), whose sum is σ = 3348645131520. Its totient is φ = 401010105600.

The previous prime is 1434214224067. The next prime is 1434214224127. The reversal of 1434214224114 is 4114224124341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37764 + ... + 1694064.

It is an arithmetic number, because the mean of its divisors is an integer number (52322580180).

Almost surely, 21434214224114 is an apocalyptic number.

1434214224114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434214224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674322565760).

1434214224114 is an abundant number, since it is smaller than the sum of its proper divisors (1914430907406).

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

1434214224114 is a wasteful number, since it uses less digits than its factorization.

1434214224114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656755.

The product of its digits is 24576, while the sum is 33.

Adding to 1434214224114 its reverse (4114224124341), we get a palindrome (5548438348455).

The spelling of 1434214224114 in words is "one trillion, four hundred thirty-four billion, two hundred fourteen million, two hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 389 742 778 1113 1167 2226 2334 2723 5446 8169 16338 20617 41234 61851 123702 144319 288638 432957 865914 1656301 3312602 4968903 9937806 11594107 23188214 34782321 69564642 87783953 175567906 263351859 526703718 614487671 644301089 1228975342 1288602178 1843463013 1932903267 3686926026 3865806534 4510107623 9020215246 13530322869 27060645738 34147957717 68295915434 102443873151 204887746302 239035704019 478071408038 717107112057 1434214224114