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2134420153000 = 235331167412289
BaseRepresentation
bin11111000011110101010…
…110101110001010101000
321120001022102002010121021
4133003311112232022220
5234432243024344000
64312312235222224
7310130630644612
oct37036526561250
97501272063537
102134420153000
11753225594323
122a57b8ba7974
13126376106b45
1475440ddbdb2
153a7c3e0b11a
hex1f0f55ae2a8

2134420153000 has 128 divisors (see below), whose sum is σ = 5186542233600. Its totient is φ = 821277696000.

The previous prime is 2134420152989. The next prime is 2134420153013. The reversal of 2134420153000 is 3510244312.

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

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, 4970856 + ... + 5383144.

It is an arithmetic number, because the mean of its divisors is an integer number (40519861200).

Almost surely, 22134420153000 is an apocalyptic number.

2134420153000 is a gapful number since it is divisible by the number (20) 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 2134420153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593271116800).

2134420153000 is an abundant number, since it is smaller than the sum of its proper divisors (3052122080600).

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

2134420153000 is a wasteful number, since it uses less digits than its factorization.

2134420153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412508 (or 412494 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2134420153000 its reverse (3510244312), we get a palindrome (2137930397312).

The spelling of 2134420153000 in words is "two trillion, one hundred thirty-four billion, four hundred twenty million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 167 200 248 250 310 334 500 620 668 775 835 1000 1240 1336 1550 1670 3100 3340 3875 4175 5177 6200 6680 7750 8350 10354 15500 16700 20708 20875 25885 31000 33400 41416 41750 51770 83500 103540 129425 167000 207080 258850 412289 517700 647125 824578 1035400 1294250 1649156 2061445 2588500 3298312 4122890 5177000 8245780 10307225 12780959 16491560 20614450 25561918 41228900 51123836 51536125 63904795 68852263 82457800 102247672 103072250 127809590 137704526 206144500 255619180 275409052 319523975 344261315 412289000 511238360 550818104 639047950 688522630 1278095900 1377045260 1597619875 1721306575 2134420153 2556191800 2754090520 3195239750 3442613150 4268840306 6390479500 6885226300 8537680612 8606532875 10672100765 12780959000 13770452600 17075361224 17213065750 21344201530 34426131500 42688403060 53360503825 68852263000 85376806120 106721007650 213442015300 266802519125 426884030600 533605038250 1067210076500 2134420153000