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2344242131231 = 71121310113116091
BaseRepresentation
bin100010000111001111101…
…110000011000100011111
322022002220021011000021012
4202013033232003010133
5301402001441144411
64552532512325435
7331236335224640
oct42071756030437
98262807130235
102344242131231
11824207629100
1231a3b5b4387b
131400a4282b50
14816677416c7
1540ea47c618b
hex221cfb8311f

2344242131231 has 96 divisors (see below), whose sum is σ = 3227407400448. Its totient is φ = 1656626400000.

The previous prime is 2344242131221. The next prime is 2344242131233. The reversal of 2344242131231 is 1321312424432.

It is a happy number.

2344242131231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2344242131231 is a prime.

It is a super-2 number, since 2×23442421312312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344242131233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145678496 + ... + 145694586.

It is an arithmetic number, because the mean of its divisors is an integer number (33618827088).

Almost surely, 22344242131231 is an apocalyptic number.

2344242131231 is a deficient number, since it is larger than the sum of its proper divisors (883165269217).

2344242131231 is a wasteful number, since it uses less digits than its factorization.

2344242131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16365 (or 16354 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 2344242131231 its reverse (1321312424432), we get a palindrome (3665554555663).

The spelling of 2344242131231 in words is "two trillion, three hundred forty-four billion, two hundred forty-two million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 101 121 131 143 707 847 917 1001 1111 1313 1441 1573 1703 7777 9191 10087 11011 11921 12221 13231 14443 15851 16091 18733 85547 92617 101101 110957 112637 131131 145541 158873 172003 177001 206063 209183 1018787 1112111 1204021 1239007 1442441 1464281 1600951 1625191 1892033 1947011 2107921 2301013 11206657 11376337 13244231 13629077 14755447 16107091 17877101 20812363 21127483 23187131 25311143 27402973 125139707 145686541 147892381 162309917 177178001 191820811 196648111 212900021 232402313 255058441 301432703 1376536777 1490300147 1626816191 1785409087 2110028921 2341900231 2556425443 2767700273 3315759733 16393301617 17894978101 19373901911 23210318131 25760902541 30444703003 180326317787 213112921021 334891733033 2344242131231