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1014340114300 = 2252231672640823
BaseRepresentation
bin11101100001010110110…
…00011101011101111100
310120222012002212201011111
432300223120131131330
5113104332032124200
62053551552531404
7133166202466312
oct16605330353574
93528162781144
101014340114300
113611a7607027
12144704550b64
13748621ac086
1437146b760b2
151b5ba67e0ba
hexec2b61d77c

1014340114300 has 72 divisors (see below), whose sum is σ = 2310573113856. Its totient is φ = 385771277760.

The previous prime is 1014340114289. The next prime is 1014340114301. The reversal of 1014340114300 is 34110434101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014340114301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936312 + ... + 1704511.

It is an arithmetic number, because the mean of its divisors is an integer number (32091293248).

Almost surely, 21014340114300 is an apocalyptic number.

1014340114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014340114300 is an abundant number, since it is smaller than the sum of its proper divisors (1296232999556).

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

1014340114300 is a wasteful number, since it uses less digits than its factorization.

1014340114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641027 (or 2641020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1014340114300 its reverse (34110434101), we get a palindrome (1048450548401).

The spelling of 1014340114300 in words is "one trillion, fourteen billion, three hundred forty million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 167 230 334 460 575 668 835 1150 1670 2300 3340 3841 4175 7682 8350 15364 16700 19205 38410 76820 96025 192050 384100 2640823 5281646 10563292 13204115 26408230 52816460 60738929 66020575 121477858 132041150 242955716 264082300 303694645 441017441 607389290 882034882 1214778580 1518473225 1764069764 2205087205 3036946450 4410174410 6073892900 8820348820 10143401143 11025436025 20286802286 22050872050 40573604572 44101744100 50717005715 101434011430 202868022860 253585028575 507170057150 1014340114300