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15145946440 = 235401944261
BaseRepresentation
bin11100001101100010…
…01100110101001000
31110002112202210120021
432012301030311020
5222004330241230
610542530110224
71044221264152
oct160661146510
943075683507
1015145946440
116472545809
122b2841b374
131574b58bb1
14a39775ad2
155d9a42c7a
hex386c4cd48

15145946440 has 32 divisors (see below), whose sum is σ = 34163399160. Its totient is φ = 6043264000.

The previous prime is 15145946423. The next prime is 15145946443. The reversal of 15145946440 is 4464954151.

It can be written as a sum of positive squares in 4 ways, for example, as 14743302084 + 402644356 = 121422^2 + 20066^2 .

It is not an unprimeable number, because it can be changed into a prime (15145946443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456091 + ... + 488170.

Almost surely, 215145946440 is an apocalyptic number.

15145946440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15145946440 is an abundant number, since it is smaller than the sum of its proper divisors (19017452720).

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

15145946440 is a wasteful number, since it uses less digits than its factorization.

15145946440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944673 (or 944669 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 15145946440 in words is "fifteen billion, one hundred forty-five million, nine hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1604 2005 3208 4010 8020 16040 944261 1888522 3777044 4721305 7554088 9442610 18885220 37770440 378648661 757297322 1514594644 1893243305 3029189288 3786486610 7572973220 15145946440