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147243342741 = 311232332812963
BaseRepresentation
bin1000100100100001100…
…0110001101110010101
3112002001122022211000120
42021020120301232111
54403023243431431
6151350451502153
713431553522425
oct2111030615625
9462048284016
10147243342741
115749a034810
12246535b7959
1310b67419411
1471ab610485
153c6baa7196
hex2248631b95

147243342741 has 64 divisors (see below), whose sum is σ = 225317873664. Its totient is φ = 84661068800.

The previous prime is 147243342737. The next prime is 147243342803.

It is a happy number.

147243342741 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 147243342741 - 22 = 147243342737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 147243342693 and 147243342702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147243342731) 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, 49692526 + ... + 49695488.

It is an arithmetic number, because the mean of its divisors is an integer number (3520591776).

Almost surely, 2147243342741 is an apocalyptic number.

147243342741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

147243342741 is a deficient number, since it is larger than the sum of its proper divisors (78074530923).

147243342741 is a wasteful number, since it uses less digits than its factorization.

147243342741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514.

The product of its digits is 451584, while the sum is 42.

It can be divided in two parts, 147243 and 342741, that added together give a palindrome (489984).

The spelling of 147243342741 in words is "one hundred forty-seven billion, two hundred forty-three million, three hundred forty-two thousand, seven hundred forty-one".

Divisors: 1 3 11 23 33 69 233 253 281 699 759 843 2563 2963 3091 5359 6463 7689 8889 9273 16077 19389 32593 58949 65473 68149 71093 97779 176847 196419 204447 213279 690379 720203 749639 832603 1505879 2071137 2160609 2248917 2497809 4517637 7594169 9158633 15878717 16564669 19149869 22782507 27475899 47636151 49694007 57449607 174665887 193996499 210648559 523997661 581989497 631945677 2133961489 4461919477 6401884467 13385758431 49081114247 147243342741