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15041005144 = 23114127115383
BaseRepresentation
bin11100000001000001…
…11000011001011000
31102211020022020011121
432000200320121120
5221300444131034
610524300535024
71041505301644
oct160040703130
942736266147
1015041005144
116419289870
122ab9251474
1315591a5259
14a29859c24
155d07141b4
hex380838658

15041005144 has 64 divisors (see below), whose sum is σ = 31634426880. Its totient is φ = 6645024000.

The previous prime is 15041005129. The next prime is 15041005151. The reversal of 15041005144 is 44150014051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970077 + ... + 985459.

It is an arithmetic number, because the mean of its divisors is an integer number (494287920).

Almost surely, 215041005144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15041005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15817213440).

15041005144 is an abundant number, since it is smaller than the sum of its proper divisors (16593421736).

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

15041005144 is a wasteful number, since it uses less digits than its factorization.

15041005144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15712 (or 15708 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 15041005144 its reverse (44150014051), we get a palindrome (59191019195).

The spelling of 15041005144 in words is "fifteen billion, forty-one million, five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 15383 22222 23848 30766 44444 61532 88888 122221 123064 169213 244442 338426 488884 630703 676852 977768 1261406 1353704 2522812 4168793 5045624 6937733 8337586 13875466 16675172 27750932 33350344 45856723 55501864 91713446 170920513 183426892 341841026 366853784 683682052 1367364104 1880125643 3760251286 7520502572 15041005144