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5201541501444 = 2232144487263929
BaseRepresentation
bin100101110110001010000…
…0010001001001000000100
3200102021002101000012100200
41023230110002021020010
51140210224111021234
615021315530210500
71044541022154351
oct113542402111004
920367071005320
105201541501444
111725a636345a2
12700115883a30
132b9670876772
1413da82491628
159048618bd99
hex4bb14089204

5201541501444 has 18 divisors (see below), whose sum is σ = 13148341017630. Its totient is φ = 1733847167136.

The previous prime is 5201541501391. The next prime is 5201541501463. The reversal of 5201541501444 is 4441051451025.

5201541501444 is a `hidden beast` number, since 5 + 20 + 1 + 541 + 50 + 1 + 4 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4132153872900 + 1069387628544 = 2032770^2 + 1034112^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 144487263929 = 5201541501444 / (5 + 2 + 0 + 1 + 5 + 4 + 1 + 5 + 0 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 5201541501399 and 5201541501408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72243631929 + ... + 72243632000.

Almost surely, 25201541501444 is an apocalyptic number.

It is an amenable number.

5201541501444 is an abundant number, since it is smaller than the sum of its proper divisors (7946799516186).

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

5201541501444 is a wasteful number, since it uses less digits than its factorization.

5201541501444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144487263939 (or 144487263934 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 5201541501444 its reverse (4441051451025), we get a palindrome (9642592952469).

The spelling of 5201541501444 in words is "five trillion, two hundred one billion, five hundred forty-one million, five hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 144487263929 288974527858 433461791787 577949055716 866923583574 1300385375361 1733847167148 2600770750722 5201541501444