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16280144040 = 2335135667867
BaseRepresentation
bin11110010100101111…
…10100100010101000
31120000120222000011210
433022113310202220
5231320204102130
611251243553120
71114302640536
oct171227644250
946016860153
1016280144040
1169a47981a6
1231a422b7a0
1316c5b21334
14b06257156
156543d15b0
hex3ca5f48a8

16280144040 has 32 divisors (see below), whose sum is σ = 48840432480. Its totient is φ = 4341371712.

The previous prime is 16280144029. The next prime is 16280144081. The reversal of 16280144040 is 4044108261.

16280144040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 16280143989 and 16280144007.

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, 67833814 + ... + 67834053.

It is an arithmetic number, because the mean of its divisors is an integer number (1526263515).

Almost surely, 216280144040 is an apocalyptic number.

16280144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16280144040 is an abundant number, since it is smaller than the sum of its proper divisors (32560288440).

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

16280144040 is a wasteful number, since it uses less digits than its factorization.

16280144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135667881 (or 135667877 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 16280144040 in words is "sixteen billion, two hundred eighty million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 135667867 271335734 407003601 542671468 678339335 814007202 1085342936 1356678670 1628014404 2035018005 2713357340 3256028808 4070036010 5426714680 8140072020 16280144040