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1134314300000 = 255571620449
BaseRepresentation
bin10000100000011010011…
…001101010001001100000
311000102212022110211002202
4100200122121222021200
5122041033430100000
62225032524032332
7144644236315340
oct20403231521140
94012768424082
101134314300000
113a807293a512
12163a076926a8
1382c71c286bb
143cc888bcd20
151e78d235dd5
hex1081a66a260

1134314300000 has 144 divisors (see below), whose sum is σ = 3190056760800. Its totient is φ = 388907520000.

The previous prime is 1134314299961. The next prime is 1134314300039. The reversal of 1134314300000 is 34134311.

It is an interprime number because it is at equal distance from previous prime (1134314299961) and next prime (1134314300039).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110225 + ... + 1510224.

It is an arithmetic number, because the mean of its divisors is an integer number (22153171950).

Almost surely, 21134314300000 is an apocalyptic number.

1134314300000 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 1134314300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595028380400).

1134314300000 is an abundant number, since it is smaller than the sum of its proper divisors (2055742460800).

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

1134314300000 is an frugal number, since it uses more digits than its factorization.

1134314300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620491 (or 1620463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1134314300000 its reverse (34134311), we get a palindrome (1134348434311).

The spelling of 1134314300000 in words is "one trillion, one hundred thirty-four billion, three hundred fourteen million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 350000 700000 1620449 3240898 6481796 8102245 11343143 12963592 16204490 22686286 25927184 32408980 40511225 45372572 51854368 56715715 64817960 81022450 90745144 113431430 129635920 162044900 181490288 202556125 226862860 259271840 283578575 324089800 362980576 405112250 453725720 567157150 648179600 810224500 907451440 1012780625 1134314300 1296359200 1417892875 1620449000 1814902880 2025561250 2268628600 2835785750 3240898000 4051122500 4537257200 5063903125 5671571500 6481796000 7089464375 8102245000 9074514400 10127806250 11343143000 14178928750 16204490000 20255612500 22686286000 28357857500 32408980000 35447321875 40511225000 45372572000 56715715000 70894643750 81022450000 113431430000 141789287500 162044900000 226862860000 283578575000 567157150000 1134314300000