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4014420243344 = 247731660329573
BaseRepresentation
bin111010011010101110000…
…101111011001110010000
3112012202220211220221222222
4322122232011323032100
51011233013040241334
612312111005520212
7563014035024650
oct72325605731620
915182824827888
104014420243344
111308562631955
1254a031273068
132317344b5cc4
14dc42856a360
156e656e4ed2e
hex3a6ae17b390

4014420243344 has 80 divisors (see below), whose sum is σ = 9011688964992. Its totient is φ = 1696738212864.

The previous prime is 4014420243331. The next prime is 4014420243439. The reversal of 4014420243344 is 4433420244104.

It is a super-2 number, since 2×40144202433442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135731342 + ... + 135760914.

Almost surely, 24014420243344 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 4014420243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505844482496).

4014420243344 is an abundant number, since it is smaller than the sum of its proper divisors (4997268721648).

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

4014420243344 is a wasteful number, since it uses less digits than its factorization.

4014420243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46264 (or 46258 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 4014420243344 its reverse (4433420244104), we get a palindrome (8447840487448).

The spelling of 4014420243344 in words is "four trillion, fourteen billion, four hundred twenty million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 16603 29573 33206 59146 66412 116221 118292 132824 207011 232442 236584 265648 414022 464884 473168 828044 929768 1212019 1656088 1859536 2158829 2424038 3312176 4317658 4848076 8484133 8635316 9696152 15111803 16968266 17270632 19392304 30223606 33936532 34541264 60447212 67873064 120894424 135746128 241788848 491000519 982001038 1964002076 3437003633 3928004152 6874007266 7856008304 13748014532 27496029064 35843037887 54992058128 71686075774 143372151548 250901265209 286744303096 501802530418 573488606192 1003605060836 2007210121672 4014420243344