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1141410530120 = 235731233564373
BaseRepresentation
bin10000100111000001010…
…111101000001101001000
311001010011212021122210112
4100213001113220031020
5122200102043430440
62232205020533452
7145315134266030
oct20470127501510
94033155248715
101141410530120
11400084540203
121652680b1288
1383833155233
143d35d1288c0
151ea5620c965
hex109c15e8348

1141410530120 has 128 divisors (see below), whose sum is σ = 3042743408640. Its totient is φ = 377090795520.

The previous prime is 1141410530081. The next prime is 1141410530129. The reversal of 1141410530120 is 210350141411.

It is not an unprimeable number, because it can be changed into a prime (1141410530129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740254 + ... + 2304626.

It is an arithmetic number, because the mean of its divisors is an integer number (23771432880).

Almost surely, 21141410530120 is an apocalyptic number.

1141410530120 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 1141410530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521371704320).

1141410530120 is an abundant number, since it is smaller than the sum of its proper divisors (1901332878520).

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

1141410530120 is a wasteful number, since it uses less digits than its factorization.

1141410530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564655 (or 564651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 1141410530120 its reverse (210350141411), we get a palindrome (1351760671531).

The spelling of 1141410530120 in words is "one trillion, one hundred forty-one billion, four hundred ten million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 233 248 280 310 434 466 620 868 932 1085 1165 1240 1631 1736 1864 2170 2330 3262 4340 4660 6524 7223 8155 8680 9320 13048 14446 16310 28892 32620 36115 50561 57784 65240 72230 101122 144460 202244 252805 288920 404488 505610 564373 1011220 1128746 2022440 2257492 2821865 3950611 4514984 5643730 7901222 11287460 15802444 17495563 19753055 22574920 31604888 34991126 39506110 69982252 79012220 87477815 122468941 131498909 139964504 158024440 174955630 244937882 262997818 349911260 489875764 525995636 612344705 657494545 699822520 920492363 979751528 1051991272 1224689410 1314989090 1840984726 2449378820 2629978180 3681969452 4076466179 4602461815 4898757640 5259956360 7363938904 8152932358 9204923630 16305864716 18409847260 20382330895 28535263253 32611729432 36819694520 40764661790 57070526506 81529323580 114141053012 142676316265 163058647160 228282106024 285352632530 570705265060 1141410530120