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41315200144 = 2443103583021
BaseRepresentation
bin100110011110100100…
…111110110010010000
310221122022211121220221
4212132210332302100
51134103142401034
630551400042424
72661554256361
oct463644766220
9127568747827
1041315200144
1116581398409
128010463414
133b856accba
141ddd127b68
15111c1cabb4
hex99e93ec90

41315200144 has 40 divisors (see below), whose sum is σ = 82705168832. Its totient is φ = 19981261440.

The previous prime is 41315200139. The next prime is 41315200153. The reversal of 41315200144 is 44100251314.

41315200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220647 + ... + 362374.

Almost surely, 241315200144 is an apocalyptic number.

It is an amenable number.

41315200144 is an abundant number, since it is smaller than the sum of its proper divisors (41389968688).

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

41315200144 is a wasteful number, since it uses less digits than its factorization.

41315200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583175 (or 583169 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 41315200144 its reverse (44100251314), we get a palindrome (85415451458).

The spelling of 41315200144 in words is "forty-one billion, three hundred fifteen million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 43 86 103 172 206 344 412 688 824 1648 4429 8858 17716 35432 70864 583021 1166042 2332084 4664168 9328336 25069903 50139806 60051163 100279612 120102326 200559224 240204652 401118448 480409304 960818608 2582200009 5164400018 10328800036 20657600072 41315200144