Search a number
-
+
342143211330 = 23352959972949
BaseRepresentation
bin1001111101010010101…
…00110001011101000010
31012201010112210222111000
410332221110301131002
521101202130230310
6421102312232430
733501425211564
oct4765124613502
91181115728430
10342143211330
11122113a17778
125638709b716
1326357c1b44b
14127ba207334
158d773e64c0
hex4fa9531742

342143211330 has 128 divisors (see below), whose sum is σ = 945432000000. Its totient is φ = 87943774464.

The previous prime is 342143211259. The next prime is 342143211343. The reversal of 342143211330 is 33112341243.

It is a happy number.

342143211330 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 321 + 1 + 330 = 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 = 342143211294 and 342143211303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4653696 + ... + 4726644.

It is an arithmetic number, because the mean of its divisors is an integer number (7386187500).

Almost surely, 2342143211330 is an apocalyptic number.

342143211330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342143211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472716000000).

342143211330 is an abundant number, since it is smaller than the sum of its proper divisors (603288788670).

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

342143211330 is a wasteful number, since it uses less digits than its factorization.

342143211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73593 (or 73587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 342143211330 its reverse (33112341243), we get a palindrome (375255552573).

The spelling of 342143211330 in words is "three hundred forty-two billion, one hundred forty-three million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 599 783 870 1198 1305 1566 1797 2610 2995 3594 3915 5391 5990 7830 8985 10782 16173 17371 17970 26955 32346 34742 52113 53910 72949 80865 86855 104226 145898 156339 161730 173710 218847 260565 312678 364745 437694 469017 521130 656541 729490 781695 938034 1094235 1313082 1563390 1969623 2115521 2188470 2345085 3282705 3939246 4231042 4690170 6346563 6565410 9848115 10577605 12693126 19039689 19696230 21155210 31732815 38079378 43696451 57119067 63465630 87392902 95198445 114238134 131089353 190396890 218482255 262178706 285595335 393268059 436964510 571190670 655446765 786536118 1179804177 1267197079 1310893530 1966340295 2359608354 2534394158 3801591237 3932680590 5899020885 6335985395 7603182474 11404773711 11798041770 12671970790 19007956185 22809547422 34214321133 38015912370 57023868555 68428642266 114047737110 171071605665 342143211330