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342042114000 = 2435379771527
BaseRepresentation
bin1001111101000110100…
…11000111011111010000
31012200212111120201000110
410332203103013133100
521101000240122000
6421044301321320
733466056666306
oct4764323073720
91180774521013
10342042114000
11122071946864
1256359266240
132633ccb2342
14127aaa0c276
158d6d5c6850
hex4fa34c77d0

342042114000 has 160 divisors (see below), whose sum is σ = 1104142830336. Its totient is φ = 91095513600.

The previous prime is 342042113999. The next prime is 342042114023. The reversal of 342042114000 is 411240243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4746237 + ... + 4817763.

Almost surely, 2342042114000 is an apocalyptic number.

342042114000 is a gapful number since it is divisible by the number (30) 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 342042114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552071415168).

342042114000 is an abundant number, since it is smaller than the sum of its proper divisors (762100716336).

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

342042114000 is a wasteful number, since it uses less digits than its factorization.

342042114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72350 (or 72334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 342042114000 its reverse (411240243), we get a palindrome (342453354243).

The spelling of 342042114000 in words is "three hundred forty-two billion, forty-two million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 797 1000 1200 1500 1594 2000 2391 3000 3188 3985 4782 6000 6376 7970 9564 11955 12752 15940 19128 19925 23910 31880 38256 39850 47820 59775 63760 71527 79700 95640 99625 119550 143054 159400 191280 199250 214581 239100 286108 298875 318800 357635 398500 429162 478200 572216 597750 715270 797000 858324 956400 1072905 1144432 1195500 1430540 1594000 1716648 1788175 2145810 2391000 2861080 3433296 3576350 4291620 4782000 5364525 5722160 7152700 8583240 8940875 10729050 14305400 17166480 17881750 21458100 26822625 28610800 35763500 42916200 53645250 57007019 71527000 85832400 107290500 114014038 143054000 171021057 214581000 228028076 285035095 342042114 429162000 456056152 570070190 684084228 855105285 912112304 1140140380 1368168456 1425175475 1710210570 2280280760 2736336912 2850350950 3420421140 4275526425 4560561520 5700701900 6840842280 7125877375 8551052850 11401403800 13681684560 14251754750 17102105700 21377632125 22802807600 28503509500 34204211400 42755264250 57007019000 68408422800 85510528500 114014038000 171021057000 342042114000