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1434400300312 = 237192143629081
BaseRepresentation
bin10100110111111000111…
…010111001110100011000
312002010102211020010002121
4110313320322321310120
5142000122434102222
63014542052311024
7205426530244540
oct24677072716430
95063384203077
101434400300312
11503364636051
121b1bb5912474
13a5356808865
144d5d520a320
15274a32315c7
hex14df8eb9d18

1434400300312 has 64 divisors (see below), whose sum is σ = 3237004339200. Its totient is φ = 582115403520.

The previous prime is 1434400300259. The next prime is 1434400300349. The reversal of 1434400300312 is 2130030044341.

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, 1965612 + ... + 2594692.

It is an arithmetic number, because the mean of its divisors is an integer number (50578192800).

Almost surely, 21434400300312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434400300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618502169600).

1434400300312 is an abundant number, since it is smaller than the sum of its proper divisors (1802604038888).

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

1434400300312 is a wasteful number, since it uses less digits than its factorization.

1434400300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631256 (or 631252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1434400300312 its reverse (2130030044341), we get a palindrome (3564430344653).

The spelling of 1434400300312 in words is "one trillion, four hundred thirty-four billion, four hundred million, three hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2143 4286 8572 15001 17144 30002 40717 60004 81434 120008 162868 285019 325736 570038 629081 1140076 1258162 2280152 2516324 4403567 5032648 8807134 11952539 17614268 23905078 35228536 47810156 83667773 95620312 167335546 334671092 669342184 1348120583 2696241166 5392482332 9436844081 10784964664 18873688162 25614291077 37747376324 51228582154 75494752648 102457164308 179300037539 204914328616 358600075078 717200150156 1434400300312