Search a number
-
+
1144141605 = 34510392719
BaseRepresentation
bin100010000110010…
…0011011100100101
32221201220102020000
41010030203130211
54320400012410
6305310531513
740232020545
oct10414433445
92851812200
101144141605
11537924582
1227b206b99
13153067689
14abd4d325
156a6a4dc0
hex44323725

1144141605 has 40 divisors (see below), whose sum is σ = 2053708800. Its totient is φ = 609397344.

The previous prime is 1144141597. The next prime is 1144141619. The reversal of 1144141605 is 5061414411.

1144141605 is a `hidden beast` number, since 1 + 1 + 44 + 14 + 1 + 605 = 666.

It is not a de Polignac number, because 1144141605 - 23 = 1144141597 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419436 + ... + 422154.

It is an arithmetic number, because the mean of its divisors is an integer number (51342720).

Almost surely, 21144141605 is an apocalyptic number.

1144141605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1144141605 is a deficient number, since it is larger than the sum of its proper divisors (909567195).

1144141605 is a wasteful number, since it uses less digits than its factorization.

1144141605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1144141605 is about 33825.1623055973. The cubic root of 1144141605 is about 1045.9074571393.

The spelling of 1144141605 in words is "one billion, one hundred forty-four million, one hundred forty-one thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1039 2719 3117 5195 8157 9351 13595 15585 24471 28053 40785 46755 73413 84159 122355 140265 220239 367065 420795 1101195 2825041 8475123 14125205 25425369 42375615 76276107 127126845 228828321 381380535 1144141605