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15145142130 = 2335233240743
BaseRepresentation
bin11100001101011100…
…01000011101110010
31110002111020221021000
432012232020131302
5222004124022010
610542500542430
71044211404216
oct160656103562
943074227230
1015145142130
116472046498
122b280b1a16
131574936a81
14a39606946
155d99347c0
hex386b88772

15145142130 has 64 divisors (see below), whose sum is σ = 40560549120. Its totient is φ = 4021354368.

The previous prime is 15145142119. The next prime is 15145142161. The reversal of 15145142130 is 3124154151.

15145142130 is a `hidden beast` number, since 1 + 5 + 14 + 514 + 2 + 130 = 666.

15145142130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15145142094 and 15145142103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57462 + ... + 183281.

It is an arithmetic number, because the mean of its divisors is an integer number (633758580).

Almost surely, 215145142130 is an apocalyptic number.

15145142130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15145142130 is an abundant number, since it is smaller than the sum of its proper divisors (25415406990).

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

15145142130 is a wasteful number, since it uses less digits than its factorization.

15145142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240992 (or 240986 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 15145142130 its reverse (3124154151), we get a palindrome (18269296281).

The spelling of 15145142130 in words is "fifteen billion, one hundred forty-five million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 233 270 466 699 1165 1398 2097 2330 3495 4194 6291 6990 10485 12582 20970 31455 62910 240743 481486 722229 1203715 1444458 2166687 2407430 3611145 4333374 6500061 7222290 10833435 13000122 21666870 32500305 56093119 65000610 112186238 168279357 280465595 336558714 504838071 560931190 841396785 1009676142 1514514213 1682793570 2524190355 3029028426 5048380710 7572571065 15145142130