Search a number
-
+
1414146415332 = 223727760776449
BaseRepresentation
bin10100100101000001101…
…100011101101011100100
312000012011021222011010110
4110211001230131223210
5141132132440242312
63001352213253020
7204111603125310
oct24450154355344
95005137864113
101414146415332
114a581086a532
121aa0a2934170
13a347965b131
144c633316b40
1526bba06543c
hex14941b1dae4

1414146415332 has 48 divisors (see below), whose sum is σ = 3784671094400. Its totient is φ = 402583191552.

The previous prime is 1414146415327. The next prime is 1414146415333. The reversal of 1414146415332 is 2335146414141.

It is not an unprimeable number, because it can be changed into a prime (1414146415333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30364957 + ... + 30411492.

Almost surely, 21414146415332 is an apocalyptic number.

1414146415332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414146415332 is an abundant number, since it is smaller than the sum of its proper divisors (2370524679068).

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

1414146415332 is a wasteful number, since it uses less digits than its factorization.

1414146415332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60776740 (or 60776738 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 1414146415332 in words is "one trillion, four hundred fourteen billion, one hundred forty-six million, four hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 5817 7756 11634 23268 60776449 121552898 182329347 243105796 364658694 425435143 729317388 850870286 1276305429 1701740572 2552610858 5105221716 16835076373 33670152746 50505229119 67340305492 101010458238 117845534611 202020916476 235691069222 353536603833 471382138444 707073207666 1414146415332