Search a number
-
+
1232404431040 = 2657397543887
BaseRepresentation
bin10001111011110001000…
…001110100000011000000
311100211001101100202200001
4101323301001310003000
5130142431013243130
62342054144005344
7155016062551636
oct21736101640300
94324041322601
101232404431040
11435729199812
1217aa21900854
138c2a4b5a563
1443912027356
15220ce9636ca
hex11ef10740c0

1232404431040 has 112 divisors (see below), whose sum is σ = 3005538141312. Its totient is φ = 481195524096.

The previous prime is 1232404430941. The next prime is 1232404431043. The reversal of 1232404431040 is 401344042321.

It is a super-2 number, since 2×12324044310402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1232404431043) 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, 1993977 + ... + 2537863.

It is an arithmetic number, because the mean of its divisors is an integer number (26835161976).

Almost surely, 21232404431040 is an apocalyptic number.

1232404431040 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 1232404431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502769070656).

1232404431040 is an abundant number, since it is smaller than the sum of its proper divisors (1773133710272).

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

1232404431040 is an equidigital number, since it uses as much as digits as its factorization.

1232404431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544074 (or 544064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1232404431040 its reverse (401344042321), we get a palindrome (1633748473361).

The spelling of 1232404431040 in words is "one trillion, two hundred thirty-two billion, four hundred four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 97 146 160 194 292 320 365 388 485 584 730 776 970 1168 1460 1552 1940 2336 2920 3104 3880 4672 5840 6208 7081 7760 11680 14162 15520 23360 28324 31040 35405 56648 70810 113296 141620 226592 283240 453184 543887 566480 1087774 1132960 2175548 2265920 2719435 4351096 5438870 8702192 10877740 17404384 21755480 34808768 39703751 43510960 52757039 79407502 87021920 105514078 158815004 174043840 198518755 211028156 263785195 317630008 397037510 422056312 527570390 635260016 794075020 844112624 1055140780 1270520032 1588150040 1688225248 2110281560 2541040064 3176300080 3376450496 3851263847 4220563120 6352600160 7702527694 8441126240 12705200320 15405055388 16882252480 19256319235 30810110776 38512638470 61620221552 77025276940 123240443104 154050553880 246480886208 308101107760 616202215520 1232404431040