[go: up one dir, main page]

Search a number
-
+
2142145434 = 23111323731487
BaseRepresentation
bin111111110101110…
…1000101110011010
312112021211021002210
41333223220232122
513341342123214
6552321335550
7104040635652
oct17753505632
95467737083
102142145434
119aa204630
124b94975b6
13281a560a0
141646db362
15c80deb59
hex7fae8b9a

2142145434 has 128 divisors (see below), whose sum is σ = 5327659008. Its totient is φ = 564917760.

The previous prime is 2142145417. The next prime is 2142145441. The reversal of 2142145434 is 4345412412.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439839 + ... + 1441325.

It is an arithmetic number, because the mean of its divisors is an integer number (41622336).

Almost surely, 22142145434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142145434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663829504).

2142145434 is an abundant number, since it is smaller than the sum of its proper divisors (3185513574).

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

2142145434 is a wasteful number, since it uses less digits than its factorization.

2142145434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612.

The product of its digits is 15360, while the sum is 30.

The square root of 2142145434 is about 46283.3170159616. The cubic root of 2142145434 is about 1289.0892423672.

Adding to 2142145434 its reverse (4345412412), we get a palindrome (6487557846).

The spelling of 2142145434 in words is "two billion, one hundred forty-two million, one hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 73 78 138 143 146 219 253 286 299 429 438 506 598 759 803 858 897 949 1487 1518 1606 1679 1794 1898 2409 2847 2974 3289 3358 4461 4818 5037 5694 6578 8922 9867 10074 10439 16357 18469 19331 19734 20878 21827 31317 32714 34201 36938 38662 43654 49071 55407 57993 62634 65481 68402 98142 102603 108551 110814 115986 130962 205206 212641 217102 240097 325653 376211 425282 444613 480194 637923 651306 720291 752422 889226 1128633 1194061 1275846 1333839 1411163 1440582 2257266 2388122 2496673 2667678 2822326 3582183 4233489 4890743 4993346 7164366 7490019 8466978 9781486 14672229 14980038 15522793 27463403 29344458 31045586 32456749 46568379 54926806 64913498 82390209 93136758 97370247 164780418 194740494 357024239 714048478 1071072717 2142145434