Search a number
-
+
1142422440 = 2335171035437
BaseRepresentation
bin100010000010111…
…1111101110101000
32221121200001222020
41010011333232220
54314430004230
6305210024440
740211300445
oct10405775650
92847601866
101142422440
1153695a985
1227a718120
131528b5013
14aba229cc
156a465810
hex4417fba8

1142422440 has 128 divisors (see below), whose sum is σ = 3664776960. Its totient is φ = 283889664.

The previous prime is 1142422439. The next prime is 1142422441. The reversal of 1142422440 is 442242411.

1142422440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1142422439) and next prime (1142422441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1142422440.

It is not an unprimeable number, because it can be changed into a prime (1142422441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207402 + ... + 212838.

It is an arithmetic number, because the mean of its divisors is an integer number (28631070).

Almost surely, 21142422440 is an apocalyptic number.

1142422440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832388480).

1142422440 is an abundant number, since it is smaller than the sum of its proper divisors (2522354520).

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

1142422440 is a wasteful number, since it uses less digits than its factorization.

1142422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1142422440 is about 33799.7402356882. The cubic root of 1142422440 is about 1045.3833411183.

Adding to 1142422440 its reverse (442242411), we get a palindrome (1584664851).

The spelling of 1142422440 in words is "one billion, one hundred forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 103 120 136 170 204 206 255 309 340 408 412 510 515 618 680 824 1020 1030 1236 1545 1751 2040 2060 2472 3090 3502 4120 5253 5437 6180 7004 8755 10506 10874 12360 14008 16311 17510 21012 21748 26265 27185 32622 35020 42024 43496 52530 54370 65244 70040 81555 92429 105060 108740 130488 163110 184858 210120 217480 277287 326220 369716 462145 554574 560011 652440 739432 924290 1109148 1120022 1386435 1680033 1848580 2218296 2240044 2772870 2800055 3360066 3697160 4480088 5545740 5600110 6720132 8400165 9520187 11091480 11200220 13440264 16800330 19040374 22400440 28560561 33600660 38080748 47600935 57121122 67201320 76161496 95201870 114242244 142802805 190403740 228484488 285605610 380807480 571211220 1142422440