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342114010000 = 245474887343
BaseRepresentation
bin1001111101001111001…
…01011000001110010000
31012201001111212101210021
410332213211120032100
521101122141310000
6421055350313224
733500622050530
oct4764745301620
91181044771707
10342114010000
111220a9492344
1256379358814
1326351b65b59
14127b63a54c0
158d74a7911a
hex4fa7958390

342114010000 has 100 divisors (see below), whose sum is σ = 946619884672. Its totient is φ = 117296208000.

The previous prime is 342114009997. The next prime is 342114010001. The reversal of 342114010000 is 10411243.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (342114010001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2373672 + ... + 2513671.

Almost surely, 2342114010000 is an apocalyptic number.

It is an amenable number.

342114010000 is an abundant number, since it is smaller than the sum of its proper divisors (604505874672).

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

342114010000 is an equidigital number, since it uses as much as digits as its factorization.

342114010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887378 (or 4887357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 342114010000 its reverse (10411243), we get a palindrome (342124421243).

The spelling of 342114010000 in words is "three hundred forty-two billion, one hundred fourteen million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 4887343 9774686 19549372 24436715 34211401 39098744 48873430 68422802 78197488 97746860 122183575 136845604 171057005 195493720 244367150 273691208 342114010 390987440 488734300 547382416 610917875 684228020 855285025 977468600 1221835750 1368456040 1710570050 1954937200 2443671500 2736912080 3054589375 3421140100 4276425125 4887343000 6109178750 6842280200 8552850250 9774686000 12218357500 13684560400 17105700500 21382125625 24436715000 34211401000 42764251250 48873430000 68422802000 85528502500 171057005000 342114010000