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914145040 = 24560119013
BaseRepresentation
bin110110011111001…
…011111100010000
32100201010101020201
4312133023330100
53333010120130
6230413144544
731440050614
oct6637137420
92321111221
10914145040
1142a013776
1221618b154
13117509b33
148959d344
15553c2bca
hex367cbf10

914145040 has 40 divisors (see below), whose sum is σ = 2129035608. Its totient is φ = 365030400.

The previous prime is 914145017. The next prime is 914145073. The reversal of 914145040 is 40541419.

It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 900720144 = 3664^2 + 30012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×9141450404 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 38574 + ... + 57586.

Almost surely, 2914145040 is an apocalyptic number.

It is an amenable number.

914145040 is an abundant number, since it is smaller than the sum of its proper divisors (1214890568).

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

914145040 is a wasteful number, since it uses less digits than its factorization.

914145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 914145040 is about 30234.8315689041. The cubic root of 914145040 is about 970.5212205676.

Adding to 914145040 its reverse (40541419), we get a palindrome (954686459).

The spelling of 914145040 in words is "nine hundred fourteen million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601 1202 2404 3005 4808 6010 9616 12020 19013 24040 38026 48080 76052 95065 152104 190130 304208 380260 760520 1521040 11426813 22853626 45707252 57134065 91414504 114268130 182829008 228536260 457072520 914145040