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2114041240044 = 2232471279976883
BaseRepresentation
bin11110110000110110101…
…011010101100111101100
321111002201011120002111100
4132300312223111213230
5234114024024140134
64255102132323100
7305506625023326
oct36606653254754
97432634502440
102114041240044
117456181923a8
122a1870173490
13124479091a76
147446a680616
1539ecec94999
hex1ec36ad59ec

2114041240044 has 72 divisors (see below), whose sum is σ = 5461797519360. Its totient is φ = 689147268192.

The previous prime is 2114041240033. The next prime is 2114041240049. The reversal of 2114041240044 is 4400421404112.

It is a happy number.

2114041240044 is a `hidden beast` number, since 2 + 11 + 404 + 1 + 240 + 0 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2114041240049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675627 + ... + 2652509.

It is an arithmetic number, because the mean of its divisors is an integer number (75858298880).

Almost surely, 22114041240044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114041240044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730898759680).

2114041240044 is an abundant number, since it is smaller than the sum of its proper divisors (3347756279316).

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

2114041240044 is a wasteful number, since it uses less digits than its factorization.

2114041240044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978219 (or 978214 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2114041240044 its reverse (4400421404112), we get a palindrome (6514462644156).

The spelling of 2114041240044 in words is "two trillion, one hundred fourteen billion, forty-one million, two hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1279 1692 2558 3837 5116 7674 11511 15348 23022 46044 60113 120226 180339 240452 360678 541017 721356 976883 1082034 1953766 2164068 2930649 3907532 5861298 8791947 11722596 17583894 35167788 45913501 91827002 137740503 183654004 275481006 413221509 550962012 826443018 1249433357 1652886036 2498866714 3748300071 4997733428 7496600142 11244900213 14993200284 22489800426 44979600852 58723367779 117446735558 176170103337 234893471116 352340206674 528510310011 704680413348 1057020620022 2114041240044