Search a number
-
+
142240021434 = 23372383197117
BaseRepresentation
bin1000010001111000101…
…0100111101110111010
3111121010221200202111000
42010132022213232322
54312301421141214
6145202201145430
713163561143020
oct2043612475672
9447127622430
10142240021434
1155361869425
1223697a8b276
131054a996b74
146c54d26710
153a776e6809
hex211e2a7bba

142240021434 has 128 divisors (see below), whose sum is σ = 381494292480. Its totient is φ = 38404504512.

The previous prime is 142240021349. The next prime is 142240021477. The reversal of 142240021434 is 434120042241.

142240021434 is a `hidden beast` number, since 1 + 4 + 224 + 0 + 0 + 2 + 1 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142240021398 and 142240021407.

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, 623044 + ... + 820160.

It is an arithmetic number, because the mean of its divisors is an integer number (2980424160).

Almost surely, 2142240021434 is an apocalyptic number.

142240021434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142240021434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190747146240).

142240021434 is an abundant number, since it is smaller than the sum of its proper divisors (239254271046).

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

142240021434 is a wasteful number, since it uses less digits than its factorization.

142240021434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197241 (or 197235 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142240021434 its reverse (434120042241), we get a palindrome (576360063675).

The spelling of 142240021434 in words is "one hundred forty-two billion, two hundred forty million, twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 83 126 138 161 166 189 207 249 322 378 414 483 498 581 621 747 966 1162 1242 1449 1494 1743 1909 2241 2898 3486 3818 4347 4482 5229 5727 8694 10458 11454 13363 15687 17181 26726 31374 34362 40089 51543 80178 103086 120267 197117 240534 360801 394234 591351 721602 1182702 1379819 1774053 2759638 3548106 4139457 4533691 5322159 8278914 9067382 10644318 12418371 13601073 16360711 24836742 27202146 31735837 32721422 37255113 40803219 49082133 63471674 74510226 81606438 95207511 98164266 114524977 122409657 147246399 190415022 229049954 244819314 285622533 294492798 343574931 376296353 441739197 571245066 687149862 752592706 856867599 883478394 1030724793 1128889059 1713735198 2061449586 2257778118 2634074471 3092174379 3386667177 5268148942 6184348758 6773334354 7902223413 10160001531 15804446826 20320003062 23706670239 47413340478 71120010717 142240021434