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2114044104340 = 2257431911838587
BaseRepresentation
bin11110110000110110110…
…110010000111010010100
321111002201100221121120101
4132300312312100322110
5234114030242314330
64255102313543444
7305506661253130
oct36606666207224
97432640847511
102114044104340
11745619869393
122a1871114b84
1312447985570c
147446abc83c0
1539ed015d4ca
hex1ec36d90e94

2114044104340 has 96 divisors (see below), whose sum is σ = 5218883518464. Its totient is φ = 704251981440.

The previous prime is 2114044104253. The next prime is 2114044104343. The reversal of 2114044104340 is 434014404112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2114044104299 and 2114044104308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114044104343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230527 + ... + 2069113.

It is an arithmetic number, because the mean of its divisors is an integer number (54363369984).

Almost surely, 22114044104340 is an apocalyptic number.

2114044104340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114044104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609441759232).

2114044104340 is an abundant number, since it is smaller than the sum of its proper divisors (3104839414124).

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

2114044104340 is a wasteful number, since it uses less digits than its factorization.

2114044104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838837 (or 1838835 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2114044104340 its reverse (434014404112), we get a palindrome (2548058508452).

The spelling of 2114044104340 in words is "two trillion, one hundred fourteen billion, forty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 191 215 301 382 430 602 764 860 955 1204 1337 1505 1910 2674 3010 3820 5348 6020 6685 8213 13370 16426 26740 32852 41065 57491 82130 114982 164260 229964 287455 574910 1149820 1838587 3677174 7354348 9192935 12870109 18385870 25740218 36771740 51480436 64350545 79059241 128701090 158118482 257402180 316236964 351170117 395296205 553414687 702340234 790592410 1106829374 1404680468 1581184820 1755850585 2213658748 2458190819 2767073435 3511701170 4916381638 5534146870 7023402340 9832763276 11068293740 12290954095 15100315031 24581908190 30200630062 49163816380 60401260124 75501575155 105702205217 151003150310 211404410434 302006300620 422808820868 528511026085 1057022052170 2114044104340