Search a number
-
+
4103402433444 = 22321729231203653
BaseRepresentation
bin111011101101100101110…
…110000010101110100100
3112112021121011121120102100
4323231211312002232210
51014212232010332234
612421024351012100
7602314065122466
oct73554566025644
915467534546370
104103402433444
111342274775336
1256332520a030
13239c454a37b2
1410286a202136
1571b13c7d399
hex3bb65d82ba4

4103402433444 has 72 divisors (see below), whose sum is σ = 11361347557560. Its totient is φ = 1242950833152.

The previous prime is 4103402433437. The next prime is 4103402433479. The reversal of 4103402433444 is 4443342043014.

4103402433444 is a `hidden beast` number, since 4 + 1 + 0 + 340 + 243 + 34 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272183410944 + 3831219022500 = 521712^2 + 1957350^2 .

It is a super-2 number, since 2×41034024334442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4103402433399 and 4103402433408.

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 23 ways as a sum of consecutive naturals, for example, 115584079 + ... + 115619574.

It is an arithmetic number, because the mean of its divisors is an integer number (157796493855).

Almost surely, 24103402433444 is an apocalyptic number.

It is an amenable number.

4103402433444 is an abundant number, since it is smaller than the sum of its proper divisors (7257945124116).

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

4103402433444 is a wasteful number, since it uses less digits than its factorization.

4103402433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231203709 (or 231203704 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4103402433444 its reverse (4443342043014), we get a palindrome (8546744476458).

The spelling of 4103402433444 in words is "four trillion, one hundred three billion, four hundred two million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 231203653 462407306 693610959 924814612 1387221918 2080832877 2774443836 3930462101 4161665754 6704905937 7860924202 8323331508 11791386303 13409811874 15721848404 20114717811 23582772606 26819623748 35374158909 40229435622 47165545212 60344153433 70748317818 80458871244 113983400929 120688306866 141496635636 227966801858 241376613732 341950202787 455933603716 683900405574 1025850608361 1367800811148 2051701216722 4103402433444