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1014041431134 = 23450211246667
BaseRepresentation
bin11101100000110011001…
…01000100110001011110
310120221102021212000220000
432300121211010301132
5113103224101244014
62053502203035130
7133155614643024
oct16603145046136
93527367760800
101014041431134
11361063a51a36
1214464050baa6
1374815352784
1437119226714
151b59e330509
hexec19944c5e

1014041431134 has 40 divisors (see below), whose sum is σ = 2272658310648. Its totient is φ = 337946219280.

The previous prime is 1014041431121. The next prime is 1014041431259. The reversal of 1014041431134 is 4311341404101.

1014041431134 is a `hidden beast` number, since 1 + 0 + 1 + 404 + 143 + 113 + 4 = 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 = 1014041431098 and 1014041431107.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 190069 + ... + 1436735.

Almost surely, 21014041431134 is an apocalyptic number.

1014041431134 is an abundant number, since it is smaller than the sum of its proper divisors (1258616879514).

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

1014041431134 is a wasteful number, since it uses less digits than its factorization.

1014041431134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251702 (or 1251693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1014041431134 its reverse (4311341404101), we get a palindrome (5325382835235).

The spelling of 1014041431134 in words is "one trillion, fourteen billion, forty-one million, four hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 5021 10042 15063 30126 45189 90378 135567 271134 406701 813402 1246667 2493334 3740001 7480002 11220003 22440006 33660009 67320018 100980027 201960054 6259515007 12519030014 18778545021 37557090042 56335635063 112671270126 169006905189 338013810378 507020715567 1014041431134