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247143341742 = 2311291279100957
BaseRepresentation
bin1110011000101011100…
…1000001111010101110
3212121220211210120200120
43212022321001322232
513022122143413432
6305311443305410
723566304513013
oct3461271017256
9777824716616
10247143341742
11958a3a78660
123ba9397b266
131a3c82b4a6b
14bd6727d70a
15666713bc2c
hex398ae41eae

247143341742 has 64 divisors (see below), whose sum is σ = 558257356800. Its totient is φ = 72252190080.

The previous prime is 247143341737. The next prime is 247143341743.

It is a happy number.

247143341742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2471433417422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247143341694 and 247143341703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247143341743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397528 + ... + 2498484.

It is an arithmetic number, because the mean of its divisors is an integer number (8722771200).

Almost surely, 2247143341742 is an apocalyptic number.

247143341742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 247143341742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279128678400).

247143341742 is an abundant number, since it is smaller than the sum of its proper divisors (311114015058).

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

247143341742 is a wasteful number, since it uses less digits than its factorization.

247143341742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102281.

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

It can be divided in two parts, 247143 and 341742, that added together give a palindrome (588885).

The spelling of 247143341742 in words is "two hundred forty-seven billion, one hundred forty-three million, three hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1279 1914 2558 3837 7674 14069 28138 37091 42207 74182 84414 100957 111273 201914 222546 302871 408001 605742 816002 1110527 1224003 2221054 2448006 2927753 3331581 5855506 6663162 8783259 17566518 32205283 64410566 96615849 129124003 193231698 258248006 387372009 774744018 1420364033 2840728066 3744596087 4261092099 7489192174 8522184198 11233788261 22467576522 41190556957 82381113914 123571670871 247143341742