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1142120144 = 2411371271381
BaseRepresentation
bin100010000010011…
…0101111011010000
32221121002201022002
41010010311323100
54314340321034
6305155333132
740205601224
oct10404657320
92847081262
101142120144
11536773850
1227a5b11a8
1315280a549
14ab984784
156a405e7e
hex44135ed0

1142120144 has 80 divisors (see below), whose sum is σ = 2500601856. Its totient is φ = 500774400.

The previous prime is 1142120117. The next prime is 1142120173. The reversal of 1142120144 is 4410212411.

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 15 ways as a sum of consecutive naturals, for example, 826334 + ... + 827714.

Almost surely, 21142120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250300928).

1142120144 is an abundant number, since it is smaller than the sum of its proper divisors (1358481712).

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

1142120144 is a wasteful number, since it uses less digits than its factorization.

1142120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1142120144 is about 33795.2680711368. The cubic root of 1142120144 is about 1045.2911268115.

Adding to 1142120144 its reverse (4410212411), we get a palindrome (5552332555).

The spelling of 1142120144 in words is "one billion, one hundred forty-two million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 127 148 176 254 296 407 508 592 814 1016 1381 1397 1628 2032 2762 2794 3256 4699 5524 5588 6512 9398 11048 11176 15191 18796 22096 22352 30382 37592 51097 51689 60764 75184 102194 103378 121528 175387 204388 206756 243056 350774 408776 413512 562067 701548 817552 827024 1124134 1403096 1929257 2248268 2806192 3858514 4496536 6489319 7717028 8993072 12978638 15434056 25957276 30868112 51914552 71382509 103829104 142765018 285530036 571060072 1142120144