Search a number
-
+
1242312144 = 24350095167
BaseRepresentation
bin100101000001100…
…0010110111010000
310012120121222212220
41022003002313100
510021012442034
6323135021040
742533323203
oct11203026720
93176558786
101242312144
11588286557
122a806a780
1316a4ba558
14badc593a
15740e7749
hex4a0c2dd0

1242312144 has 40 divisors (see below), whose sum is σ = 3210568320. Its totient is φ = 413941248.

The previous prime is 1242312109. The next prime is 1242312157. The reversal of 1242312144 is 4412132421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237849 + ... + 243015.

It is an arithmetic number, because the mean of its divisors is an integer number (80264208).

Almost surely, 21242312144 is an apocalyptic number.

It is an amenable number.

1242312144 is an abundant number, since it is smaller than the sum of its proper divisors (1968256176).

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

1242312144 is a wasteful number, since it uses less digits than its factorization.

1242312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10181 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1242312144 is about 35246.4486721712. The cubic root of 1242312144 is about 1075.0044042365.

Adding to 1242312144 its reverse (4412132421), we get a palindrome (5654444565).

The spelling of 1242312144 in words is "one billion, two hundred forty-two million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 5009 5167 10018 10334 15027 15501 20036 20668 30054 31002 40072 41336 60108 62004 80144 82672 120216 124008 240432 248016 25881503 51763006 77644509 103526012 155289018 207052024 310578036 414104048 621156072 1242312144