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135624301441 = 11313122740361
BaseRepresentation
bin111111001001111010…
…1101001101110000001
3110222001220001100202121
41332103311221232001
54210224310121231
6142145511244241
712540616353436
oct1762365515601
9428056040677
10135624301441
1152577423042
1222350379681
13ca3518a255
1467c843bb8d
1537db9d8311
hex1f93d69b81

135624301441 has 16 divisors (see below), whose sum is σ = 138479761728. Its totient is φ = 132807001600.

The previous prime is 135624301433. The next prime is 135624301493. The reversal of 135624301441 is 144103426531.

It is not a de Polignac number, because 135624301441 - 23 = 135624301433 is a prime.

It is a super-2 number, since 2×1356243014412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135624301397 and 135624301406.

It is not an unprimeable number, because it can be changed into a prime (135624302441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340101 + ... + 3380461.

It is an arithmetic number, because the mean of its divisors is an integer number (8654985108).

Almost surely, 2135624301441 is an apocalyptic number.

It is an amenable number.

135624301441 is a deficient number, since it is larger than the sum of its proper divisors (2855460287).

135624301441 is a wasteful number, since it uses less digits than its factorization.

135624301441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40832.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 135624301441 its reverse (144103426531), we get a palindrome (279727727972).

The spelling of 135624301441 in words is "one hundred thirty-five billion, six hundred twenty-four million, three hundred one thousand, four hundred forty-one".

Divisors: 1 113 131 227 14803 25651 29737 40361 3360281 4560793 5287291 9161947 597463883 1035300011 1200215057 135624301441