Search a number
-
+
240420123432 = 233653777817
BaseRepresentation
bin1101111111101000100…
…1111111001100101000
3211222120021212201000000
43133322021333030220
512414340022422212
6302240353343000
723240556221316
oct3377211771450
9758507781000
10240420123432
1192a6398a195
123a718267a60
131989643a688
14b8ca3b10b6
1563c1c971dc
hex37fa27f328

240420123432 has 112 divisors (see below), whose sum is σ = 688625609940. Its totient is φ = 78627863808.

The previous prime is 240420123413. The next prime is 240420123497. The reversal of 240420123432 is 234321024042.

240420123432 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 201 + 23 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224738572356 + 15681551076 = 474066^2 + 125226^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240420123396 and 240420123405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79813 + ... + 698004.

Almost surely, 2240420123432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240420123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344312804970).

240420123432 is an abundant number, since it is smaller than the sum of its proper divisors (448205486508).

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

240420123432 is an equidigital number, since it uses as much as digits as its factorization.

240420123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777894 (or 777875 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240420123432 its reverse (234321024042), we get a palindrome (474741147474).

The spelling of 240420123432 in words is "two hundred forty billion, four hundred twenty million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2862 2916 3816 4293 5724 5832 8586 11448 12879 17172 25758 34344 38637 51516 77274 103032 154548 309096 777817 1555634 2333451 3111268 4666902 6222536 7000353 9333804 14000706 18667608 21001059 28001412 41224301 42002118 56002824 63003177 82448602 84004236 123672903 126006354 164897204 168008472 189009531 247345806 252012708 329794408 371018709 378019062 494691612 504025416 567028593 742037418 756038124 989383224 1113056127 1134057186 1484074836 1512076248 2226112254 2268114372 2968149672 3339168381 4452224508 4536228744 6678336762 8904449016 10017505143 13356673524 20035010286 26713347048 30052515429 40070020572 60105030858 80140041144 120210061716 240420123432