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2014321341132 = 2233145112853979
BaseRepresentation
bin11101010011111110111…
…010000111001011001100
321010120022111222100201000
4131103332322013023030
5231000312230404012
64141211053020300
7265346521616142
oct35237672071314
97116274870630
102014321341132
117072a597a401
12286480184690
13117c46603a19
146d6ca8d3592
15375e5437ddc
hex1d4fee872cc

2014321341132 has 48 divisors (see below), whose sum is σ = 5225914108800. Its totient is φ = 670977651600.

The previous prime is 2014321341127. The next prime is 2014321341161. The reversal of 2014321341132 is 2311431234102.

2014321341132 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 213 + 411 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2014321341096 and 2014321341105.

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, 6270282 + ... + 6583697.

It is an arithmetic number, because the mean of its divisors is an integer number (108873210600).

Almost surely, 22014321341132 is an apocalyptic number.

It is an amenable number.

2014321341132 is an abundant number, since it is smaller than the sum of its proper divisors (3211592767668).

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

2014321341132 is a wasteful number, since it uses less digits than its factorization.

2014321341132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855443 (or 12855435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2014321341132 its reverse (2311431234102), we get a palindrome (4325752575234).

It can be divided in two parts, 201432 and 1341132, that added together give a square (1542564 = 12422).

The spelling of 2014321341132 in words is "two trillion, fourteen billion, three hundred twenty-one million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1451 2902 4353 5804 8706 13059 17412 26118 39177 52236 78354 156708 12853979 25707958 38561937 51415916 77123874 115685811 154247748 231371622 347057433 462743244 694114866 1388229732 18651123529 37302247058 55953370587 74604494116 111906741174 167860111761 223813482348 335720223522 503580335283 671440447044 1007160670566 2014321341132