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147414414741 = 3119901451177
BaseRepresentation
bin1000100101001010010…
…1010111010110010101
3112002111120020011200120
42021102211113112111
54403401042232431
6151415442302153
713436031564546
oct2112245272625
9462446204616
10147414414741
1157577659730
12246a0957959
1310b939b5659
1471c62224cd
153c7baea196
hex2252957595

147414414741 has 16 divisors (see below), whose sum is σ = 214443098688. Its totient is φ = 89332848000.

The previous prime is 147414414739. The next prime is 147414414757.

147414414741 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 147414414741 - 21 = 147414414739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 147414414693 and 147414414702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147414414341) 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, 101145 + ... + 552321.

It is an arithmetic number, because the mean of its divisors is an integer number (13402693668).

Almost surely, 2147414414741 is an apocalyptic number.

147414414741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

147414414741 is a deficient number, since it is larger than the sum of its proper divisors (67028683947).

147414414741 is a wasteful number, since it uses less digits than its factorization.

147414414741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461092.

The product of its digits is 200704, while the sum is 42.

The spelling of 147414414741 in words is "one hundred forty-seven billion, four hundred fourteen million, four hundred fourteen thousand, seven hundred forty-one".

Divisors: 1 3 11 33 9901 29703 108911 326733 451177 1353531 4962947 14888841 4467103477 13401310431 49138138247 147414414741