Search a number
-
+
1040415521334 = 237109227264203
BaseRepresentation
bin11110010001111011001…
…10001111101000110110
310200110111100100122002120
433020331212033220312
5114021232333140314
62113543231220410
7135111316005210
oct17107546175066
93613440318076
101040415521334
113712684902a2
12149781077706
13771594653c7
14384dbc995b0
151c0e497a8a9
hexf23d98fa36

1040415521334 has 32 divisors (see below), whose sum is σ = 2399909994240. Its totient is φ = 294534405792.

The previous prime is 1040415521287. The next prime is 1040415521371. The reversal of 1040415521334 is 4331255140401.

It is a junction number, because it is equal to n+sod(n) for n = 1040415521295 and 1040415521304.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 113627524 + ... + 113636679.

It is an arithmetic number, because the mean of its divisors is an integer number (74997187320).

Almost surely, 21040415521334 is an apocalyptic number.

1040415521334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1040415521334 is an abundant number, since it is smaller than the sum of its proper divisors (1359494472906).

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

1040415521334 is a wasteful number, since it uses less digits than its factorization.

1040415521334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227264324.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1040415521334 in words is "one trillion, forty billion, four hundred fifteen million, five hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4578 227264203 454528406 681792609 1363585218 1590849421 3181698842 4772548263 9545096526 24771798127 49543596254 74315394381 148630788762 173402586889 346805173778 520207760667 1040415521334