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1342299128800 = 25527239696273
BaseRepresentation
bin10011100010000111010…
…000110100001111100000
311202022201010121211112011
4103202013100310033200
5133443012034110200
62504351012442304
7165656265224530
oct23420720641740
94668633554464
101342299128800
114782a1956783
12198191319394
13997695a8436
1448d792394c0
1524db26aa5ba
hex138874343e0

1342299128800 has 72 divisors (see below), whose sum is σ = 3745014584976. Its totient is φ = 460216842240.

The previous prime is 1342299128783. The next prime is 1342299128803. The reversal of 1342299128800 is 88219922431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342299128803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 119842537 + ... + 119853736.

It is an arithmetic number, because the mean of its divisors is an integer number (52014091458).

Almost surely, 21342299128800 is an apocalyptic number.

1342299128800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342299128800 is an abundant number, since it is smaller than the sum of its proper divisors (2402715456176).

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

1342299128800 is a wasteful number, since it uses less digits than its factorization.

1342299128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239696300 (or 239696287 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 1342299128800 in words is "one trillion, three hundred forty-two billion, two hundred ninety-nine million, one hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 239696273 479392546 958785092 1198481365 1677873911 1917570184 2396962730 3355747822 3835140368 4793925460 5992406825 6711495644 7670280736 8389369555 9587850920 11984813650 13422991288 16778739110 19175701840 23969627300 26845982576 33557478220 38351403680 41946847775 47939254600 53691965152 67114956440 83893695550 95878509200 134229912880 167787391100 191757018400 268459825760 335574782200 671149564400 1342299128800