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2342134333000 = 235371130417329
BaseRepresentation
bin100010000101010010000…
…101011011111001001000
322021220110100221202200001
4202011102011123321020
5301333142342124000
64551543415052344
7331133162231410
oct42052205337110
98256410852601
102342134333000
118233258540a0
12319b080710b4
1313cb29694667
1481507825640
1540dce71d46a
hex2215215be48

2342134333000 has 128 divisors (see below), whose sum is σ = 6832949011200. Its totient is φ = 730015872000.

The previous prime is 2342134332971. The next prime is 2342134333057. The reversal of 2342134333000 is 3334312432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2342134333000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15131665 + ... + 15285664.

It is an arithmetic number, because the mean of its divisors is an integer number (53382414150).

Almost surely, 22342134333000 is an apocalyptic number.

2342134333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342134333000 is an abundant number, since it is smaller than the sum of its proper divisors (4490814678200).

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

2342134333000 is a wasteful number, since it uses less digits than its factorization.

2342134333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30417368 (or 30417354 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2342134333000 its reverse (3334312432), we get a palindrome (2345468645432).

The spelling of 2342134333000 in words is "two trillion, three hundred forty-two billion, one hundred thirty-four million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 30417329 60834658 121669316 152086645 212921303 243338632 304173290 334590619 425842606 608346580 669181238 760433225 851685212 1064606515 1216693160 1338362476 1520866450 1672953095 1703370424 2129213030 2342134333 2676724952 3041732900 3345906190 3802166125 4258426060 4684268666 5323032575 6083465800 6691812380 7604332250 8364765475 8516852120 9368537332 10646065150 11710671665 13383624760 15208664500 16729530950 18737074664 21292130300 23421343330 26615162875 30417329000 33459061900 41823827375 42584260600 46842686660 53230325750 58553358325 66918123800 83647654750 93685373320 106460651500 117106716650 167295309500 212921303000 234213433300 292766791625 334590619000 468426866600 585533583250 1171067166500 2342134333000