Search a number
-
+
411442423340 = 2251373197110039
BaseRepresentation
bin1011111110010111110…
…00010010011000101100
31110100000010111200221212
411333023320102120230
523220113230021330
6513003011013552
741503632615554
oct5771370223054
91410003450855
10411442423340
11149545581413
12678a729a2b8
132ca5010bb40
1415cb1b1c164
15aa8122b295
hex5fcbe1262c

411442423340 has 96 divisors (see below), whose sum is σ = 948035975040. Its totient is φ = 149074200576.

The previous prime is 411442423333. The next prime is 411442423349. The reversal of 411442423340 is 43324244114.

It is a super-3 number, since 3×4114424233403 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 411442423297 and 411442423306.

It is not an unprimeable number, because it can be changed into a prime (411442423349) 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, 3684041 + ... + 3794079.

It is an arithmetic number, because the mean of its divisors is an integer number (9875374740).

Almost surely, 2411442423340 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 411442423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474017987520).

411442423340 is an abundant number, since it is smaller than the sum of its proper divisors (536593551700).

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

411442423340 is a wasteful number, since it uses less digits than its factorization.

411442423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110331 (or 110329 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 411442423340 its reverse (43324244114), we get a palindrome (454766667454).

The spelling of 411442423340 in words is "four hundred eleven billion, four hundred forty-two million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 197 260 292 365 394 730 788 949 985 1460 1898 1970 2561 3796 3940 4745 5122 9490 10244 12805 14381 18980 25610 28762 51220 57524 71905 110039 143810 186953 220078 287620 373906 440156 550195 747812 934765 1100390 1430507 1869530 2200780 2861014 3739060 5722028 7152535 8032847 14305070 16065694 21677683 28610140 32131388 40164235 43355366 80328470 86710732 104427011 108388415 160656940 208854022 216776830 281809879 417708044 433553660 522135055 563619758 1044270110 1127239516 1409049395 1582470859 2088540220 2818098790 3164941718 5636197580 6329883436 7912354295 15824708590 20572121167 31649417180 41144242334 82288484668 102860605835 205721211670 411442423340