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134300244400 = 24527199241027
BaseRepresentation
bin111110100010011101…
…0110001100110110000
3110211122121121021221221
41331010322301212300
54200021330310100
6141410252154424
712463041146020
oct1750472614660
9424577537857
10134300244400
1151a57a94423
1222040a68a14
13c883a7b34a
146700657a80
15376064501a
hex1f44eb19b0

134300244400 has 120 divisors (see below), whose sum is σ = 370604652800. Its totient is φ = 45814222080.

The previous prime is 134300244391. The next prime is 134300244427. The reversal of 134300244400 is 4442003431.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 436687 + ... + 677713.

Almost surely, 2134300244400 is an apocalyptic number.

134300244400 is a gapful number since it is divisible by the number (10) 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 134300244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185302326400).

134300244400 is an abundant number, since it is smaller than the sum of its proper divisors (236304408400).

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

134300244400 is a wasteful number, since it uses less digits than its factorization.

134300244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241251 (or 241240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 134300244400 its reverse (4442003431), we get a palindrome (138742247831).

The spelling of 134300244400 in words is "one hundred thirty-four billion, three hundred million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 199 200 280 350 398 400 560 700 796 995 1393 1400 1592 1990 2786 2800 3184 3980 4975 5572 6965 7960 9950 11144 13930 15920 19900 22288 27860 34825 39800 55720 69650 79600 111440 139300 241027 278600 482054 557200 964108 1205135 1687189 1928216 2410270 3374378 3856432 4820540 6025675 6748756 8435945 9641080 12051350 13497512 16871890 19282160 24102700 26995024 33743780 42179725 47964373 48205400 67487560 84359450 95928746 96410800 134975120 168718900 191857492 239821865 335750611 337437800 383714984 479643730 671501222 674875600 767429968 959287460 1199109325 1343002444 1678753055 1918574920 2398218650 2686004888 3357506110 3837149840 4796437300 5372009776 6715012220 8393765275 9592874600 13430024440 16787530550 19185749200 26860048880 33575061100 67150122200 134300244400