Search a number
-
+
1205104050040 = 2351123911459719
BaseRepresentation
bin10001100010010101110…
…011000111111101111000
311021012120202212201100211
4101202111303013331320
5124221023114100130
62321341150040504
7153031413261262
oct21422563077570
94235522781324
101205104050040
11425099901470
12175682aa9134
1389843b77667
1442482352b32
1521532d46a2a
hex11895cc7f78

1205104050040 has 64 divisors (see below), whose sum is σ = 2970359424000. Its totient is φ = 436386061440.

The previous prime is 1205104049887. The next prime is 1205104050067. The reversal of 1205104050040 is 400504015021.

It is a super-3 number, since 3×12051040500403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1205104049993 and 1205104050020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5624700 + ... + 5835019.

It is an arithmetic number, because the mean of its divisors is an integer number (46411866000).

Almost surely, 21205104050040 is an apocalyptic number.

1205104050040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205104050040 is an abundant number, since it is smaller than the sum of its proper divisors (1765255373960).

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

1205104050040 is a wasteful number, since it uses less digits than its factorization.

1205104050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459980 (or 11459976 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 1205104050040 its reverse (400504015021), we get a palindrome (1605608065061).

The spelling of 1205104050040 in words is "one trillion, two hundred five billion, one hundred four million, fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 11459719 22919438 45838876 57298595 91677752 114597190 126056909 229194380 252113818 458388760 504227636 630284545 1008455272 1260569090 2521138180 2738872841 5042276360 5477745682 10955491364 13694364205 21910982728 27388728410 30127601251 54777456820 60255202502 109554913640 120510405004 150638006255 241020810008 301276012510 602552025020 1205104050040