Search a number
-
+
142412003202340 = 225411131639429023
BaseRepresentation
bin100000011000010111100000…
…110111001101010100100100
3200200020110021100210121200201
4200120113200313031110210
5122131234240304433330
61222515100542320244
741665633125160144
oct4030274067152444
9620213240717621
10142412003202340
1141416656152a63
1213b80497889084
1361605182c93a1
142724ac6152924
15116e6e2a66eca
hex8185e0dcd524

142412003202340 has 96 divisors (see below), whose sum is σ = 310966797689856. Its totient is φ = 54745656053760.

The previous prime is 142412003202199. The next prime is 142412003202349. The reversal of 142412003202340 is 43202300214241.

It is a super-2 number, since 2×1424120032023402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142412003202299 and 142412003202308.

It is not an unprimeable number, because it can be changed into a prime (142412003202349) 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, 10389069 + ... + 19818091.

It is an arithmetic number, because the mean of its divisors is an integer number (3239237475936).

Almost surely, 2142412003202340 is an apocalyptic number.

142412003202340 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 142412003202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155483398844928).

142412003202340 is an abundant number, since it is smaller than the sum of its proper divisors (168554794487516).

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

142412003202340 is a wasteful number, since it uses less digits than its factorization.

142412003202340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429349 (or 9429347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142412003202340 its reverse (43202300214241), we get a palindrome (185614303416581).

The spelling of 142412003202340 in words is "one hundred forty-two trillion, four hundred twelve billion, three million, two hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 113 163 164 205 226 326 410 452 565 652 815 820 1130 1630 2260 3260 4633 6683 9266 13366 18419 18532 23165 26732 33415 36838 46330 66830 73676 92095 92660 133660 184190 368380 755179 1510358 3020716 3775895 7551790 9429023 15103580 18858046 37716092 47145115 94290230 188580460 386589943 773179886 1065479599 1536930749 1546359772 1932949715 2130959198 3073861498 3865899430 4261918396 5327397995 6147722996 7684653745 7731798860 10654795990 15369307490 21309591980 30738614980 43684663559 63014160709 87369327118 126028321418 173673174637 174738654236 218423317795 252056642836 315070803545 347346349274 436846635590 630141607090 694692698548 868365873185 873693271180 1260283214180 1736731746370 3473463492740 7120600160117 14241200320234 28482400640468 35603000800585 71206001601170 142412003202340