Search a number
-
+
1140342101300 = 225247331733009
BaseRepresentation
bin10000100110000001101…
…011111001010100110100
311001000102101211211222202
4100212001223321110310
5122140410034220200
62231511012444032
7145246511634143
oct20460153712464
94030371754882
101140342101300
113aa686429886
1216500a319618
13836c29a972c
143d29b28775a
151e9e25111d5
hex10981af9534

1140342101300 has 72 divisors (see below), whose sum is σ = 2534830677120. Its totient is φ = 445082457600.

The previous prime is 1140342101287. The next prime is 1140342101323. The reversal of 1140342101300 is 31012430411.

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, 1189196 + ... + 1922204.

Almost surely, 21140342101300 is an apocalyptic number.

1140342101300 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 1140342101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267415338560).

1140342101300 is an abundant number, since it is smaller than the sum of its proper divisors (1394488575820).

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

1140342101300 is a wasteful number, since it uses less digits than its factorization.

1140342101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733401 (or 733394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1140342101300 its reverse (31012430411), we get a palindrome (1171354531711).

The spelling of 1140342101300 in words is "one trillion, one hundred forty billion, three hundred forty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 331 470 662 940 1175 1324 1655 2350 3310 4700 6620 8275 15557 16550 31114 33100 62228 77785 155570 311140 388925 733009 777850 1466018 1555700 2932036 3665045 7330090 14660180 18325225 34451423 36650450 68902846 73300900 137805692 172257115 242625979 344514230 485251958 689028460 861285575 970503916 1213129895 1722571150 2426259790 3445142300 4852519580 6065649475 11403421013 12131298950 22806842026 24262597900 45613684052 57017105065 114034210130 228068420260 285085525325 570171050650 1140342101300