Search a number
-
+
1242040233120 = 253510325122173
BaseRepresentation
bin10010000100101111010…
…111011110110010100000
311101201220220211020011120
4102010233113132302200
5130322144244424440
62350330240412240
7155506625534241
oct22045727366240
94351826736146
101242040233120
11439823371505
12180870917080
139017c2602ab
1444187a64cc8
1522495880dd0
hex1212f5deca0

1242040233120 has 96 divisors (see below), whose sum is σ = 3950411617152. Its totient is φ = 327995077632.

The previous prime is 1242040233103. The next prime is 1242040233121. The reversal of 1242040233120 is 213320402421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1242040233121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12511647 + ... + 12610526.

It is an arithmetic number, because the mean of its divisors is an integer number (41150121012).

Almost surely, 21242040233120 is an apocalyptic number.

1242040233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242040233120 is an abundant number, since it is smaller than the sum of its proper divisors (2708371384032).

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

1242040233120 is a wasteful number, since it uses less digits than its factorization.

1242040233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25122294 (or 25122286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1242040233120 its reverse (213320402421), we get a palindrome (1455360635541).

The spelling of 1242040233120 in words is "one trillion, two hundred forty-two billion, forty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 25122173 50244346 75366519 100488692 125610865 150733038 200977384 251221730 301466076 376832595 401954768 502443460 602932152 753665190 803909536 1004886920 1205864304 1507330380 2009773840 2411728608 2587583819 3014660760 4019547680 5175167638 6029321520 7762751457 10350335276 12058643040 12937919095 15525502914 20700670552 25875838190 31051005828 38813757285 41401341104 51751676380 62102011656 77627514570 82802682208 103503352760 124204023312 155255029140 207006705520 248408046624 310510058280 414013411040 621020116560 1242040233120