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1414245613144 = 2371313071486339
BaseRepresentation
bin10100100101000111100…
…110110111111001011000
312000012102012121220221111
4110211013212313321120
5141132333334110034
63001410115350104
7204114216236620
oct24450746677130
95005365556844
101414245613144
114a58618632a1
121aa10bbb2334
13a3494080770
144c642579880
1526bc3b0c364
hex149479b7e58

1414245613144 has 64 divisors (see below), whose sum is σ = 3266142969600. Its totient is φ = 559053339264.

The previous prime is 1414245613097. The next prime is 1414245613153. The reversal of 1414245613144 is 4413165424141.

It is a junction number, because it is equal to n+sod(n) for n = 1414245613097 and 1414245613106.

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, 208327 + ... + 1694665.

It is an arithmetic number, because the mean of its divisors is an integer number (51033483900).

Almost surely, 21414245613144 is an apocalyptic number.

1414245613144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414245613144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633071484800).

1414245613144 is an abundant number, since it is smaller than the sum of its proper divisors (1851897356456).

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

1414245613144 is a wasteful number, since it uses less digits than its factorization.

1414245613144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487672 (or 1487668 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The spelling of 1414245613144 in words is "one trillion, four hundred fourteen billion, two hundred forty-five million, six hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1307 2614 5228 9149 10456 16991 18298 33982 36596 67964 73192 118937 135928 237874 475748 951496 1486339 2972678 5945356 10404373 11890712 19322407 20808746 38644814 41617492 77289628 83234984 135256849 154579256 270513698 541027396 1082054792 1942645073 3885290146 7770580292 13598515511 15541160584 25254385949 27197031022 50508771898 54394062044 101017543796 108788124088 176780701643 202035087592 353561403286 707122806572 1414245613144