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4144153013 = 7111389181257
BaseRepresentation
bin1111011100000010…
…1100000110110101
3101200210221210012122
43313000230012311
531441400344023
61523115325325
7204460501520
oct36700540665
911623853178
104144153013
1118372a2550
12977a50845
13510754160
142b4559bb7
15193c4c2c8
hexf702c1b5

4144153013 has 64 divisors (see below), whose sum is σ = 5679797760. Its totient is φ = 2919628800.

The previous prime is 4144153009. The next prime is 4144153033. The reversal of 4144153013 is 3103514414.

It is a happy number.

4144153013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144153013 - 22 = 4144153009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144153033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16124981 + ... + 16125237.

It is an arithmetic number, because the mean of its divisors is an integer number (88746840).

Almost surely, 24144153013 is an apocalyptic number.

It is an amenable number.

4144153013 is a deficient number, since it is larger than the sum of its proper divisors (1535644747).

4144153013 is a wasteful number, since it uses less digits than its factorization.

4144153013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4144153013 is about 64375.0962174038. The cubic root of 4144153013 is about 1606.2455128279.

Adding to 4144153013 its reverse (3103514414), we get a palindrome (7247667427).

The spelling of 4144153013 in words is "four billion, one hundred forty-four million, one hundred fifty-three thousand, thirteen".

Divisors: 1 7 11 13 77 89 91 143 181 257 623 979 1001 1157 1267 1799 1991 2353 2827 3341 6853 8099 12727 13937 16109 16471 19789 22873 23387 25883 36751 46517 89089 112763 160111 177199 181181 209417 251603 257257 297349 325619 511687 604721 1240393 1465919 1761221 2081443 2303587 3270839 3581809 4140013 4233047 6651931 16125109 22895873 28980091 45540143 46563517 53820169 318781001 376741183 592021859 4144153013