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15242033144 = 23136712891697
BaseRepresentation
bin11100011000111111…
…01111011111111000
31110100020120111202002
432030133233133320
5222203430030034
611000241400132
71046466100262
oct161437573770
943306514662
1015242033144
116511804108
122b54639048
13158ba2c430
14a48428b32
155e31c2e7e
hex38c7ef7f8

15242033144 has 64 divisors (see below), whose sum is σ = 31279197600. Its totient is φ = 6920331264.

The previous prime is 15242033087. The next prime is 15242033153. The reversal of 15242033144 is 44133024251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8980904 + ... + 8982600.

Almost surely, 215242033144 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 15242033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639598800).

15242033144 is an abundant number, since it is smaller than the sum of its proper divisors (16037164456).

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

15242033144 is a wasteful number, since it uses less digits than its factorization.

15242033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 15242033144 its reverse (44133024251), we get a palindrome (59375057395).

The spelling of 15242033144 in words is "fifteen billion, two hundred forty-two million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 67 104 134 268 536 871 1289 1697 1742 2578 3394 3484 5156 6788 6968 10312 13576 16757 22061 33514 44122 67028 86363 88244 113699 134056 172726 176488 227398 345452 454796 690904 909592 1122719 1478087 2187433 2245438 2956174 4374866 4490876 5912348 8749732 8981752 11824696 17499464 28436629 56873258 113746516 146558011 227493032 293116022 586232044 1172464088 1905254143 3810508286 7621016572 15242033144