Search a number
-
+
1142341344 = 253241891087
BaseRepresentation
bin100010000010110…
…1011111011100000
32221121111221201200
41010011223323200
54314414410334
6305204201200
740210512144
oct10405537340
92847457650
101142341344
11536904a61
1227a699200
13152887131
14aba01224
156a44b799
hex4416bee0

1142341344 has 144 divisors (see below), whose sum is σ = 3368252160. Its totient is φ = 366981120.

The previous prime is 1142341297. The next prime is 1142341373. The reversal of 1142341344 is 4431432411.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1050369 + ... + 1051455.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 21142341344 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 1142341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

1142341344 is an abundant number, since it is smaller than the sum of its proper divisors (2225910816).

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

1142341344 is a wasteful number, since it uses less digits than its factorization.

1142341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1142341344 is about 33798.5405602076. The cubic root of 1142341344 is about 1045.3586046722.

Adding to 1142341344 its reverse (4431432411), we get a palindrome (5573773755).

The spelling of 1142341344 in words is "one billion, one hundred forty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 89 96 123 144 164 178 246 267 288 328 356 369 492 534 656 712 738 801 984 1068 1087 1312 1424 1476 1602 1968 2136 2174 2848 2952 3204 3261 3649 3936 4272 4348 5904 6408 6522 7298 8544 8696 9783 10947 11808 12816 13044 14596 17392 19566 21894 25632 26088 29192 32841 34784 39132 43788 44567 52176 58384 65682 78264 87576 89134 96743 104352 116768 131364 133701 156528 175152 178268 193486 262728 267402 290229 313056 350304 356536 386972 401103 525456 534804 580458 713072 773944 802206 870687 1050912 1069608 1160916 1426144 1547888 1604412 1741374 2139216 2321832 3095776 3208824 3482748 3966463 4278432 4643664 6417648 6965496 7932926 9287328 11899389 12835296 13930992 15865852 23798778 27861984 31731704 35698167 47597556 63463408 71396334 95195112 126926816 142792668 190390224 285585336 380780448 571170672 1142341344