Search a number
-
+
1144272492 = 22321119152083
BaseRepresentation
bin100010000110100…
…0011011001101100
32221202011001202200
41010031003121230
54320413204432
6305313421500
740233104256
oct10415033154
92852131680
101144272492
11537a03950
1227b26a890
131530b211c
14abd84cd6
156a6cda7c
hex4434366c

1144272492 has 72 divisors (see below), whose sum is σ = 3321514560. Its totient is φ = 328497120.

The previous prime is 1144272463. The next prime is 1144272497. The reversal of 1144272492 is 2942724411.

It is a happy number.

1144272492 is a `hidden beast` number, since 1 + 144 + 27 + 2 + 492 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1144272497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68518 + ... + 83565.

Almost surely, 21144272492 is an apocalyptic number.

1144272492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144272492 is an abundant number, since it is smaller than the sum of its proper divisors (2177242068).

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

1144272492 is a wasteful number, since it uses less digits than its factorization.

1144272492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152123 (or 152118 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1144272492 is about 33827.0970081679. The cubic root of 1144272492 is about 1045.9473387032.

The spelling of 1144272492 in words is "one billion, one hundred forty-four million, two hundred seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 152083 304166 456249 608332 912498 1368747 1672913 1824996 2737494 2889577 3345826 5018739 5474988 5779154 6691652 8668731 10037478 11558308 15056217 17337462 20074956 26006193 30112434 31785347 34674924 52012386 60224868 63570694 95356041 104024772 127141388 190712082 286068123 381424164 572136246 1144272492