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200034405144 = 23337132297887
BaseRepresentation
bin1011101001001011111…
…0101100101100011000
3201010022202000122111000
42322102332230230120
511234132301431034
6231521115305000
720311016250360
oct2722276545430
9633282018430
10200034405144
117791a230302
123292714b160
1315b2b4a7252
1499788b99a0
15530b4bd599
hex2e92facb18

200034405144 has 64 divisors (see below), whose sum is σ = 635029862400. Its totient is φ = 57152686752.

The previous prime is 200034405143. The next prime is 200034405149. The reversal of 200034405144 is 441504430002.

It is a happy number.

200034405144 is a `hidden beast` number, since 200 + 0 + 3 + 440 + 5 + 14 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200034405143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66147432 + ... + 66150455.

It is an arithmetic number, because the mean of its divisors is an integer number (9922341600).

Almost surely, 2200034405144 is an apocalyptic number.

200034405144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200034405144 is an abundant number, since it is smaller than the sum of its proper divisors (434995457256).

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

200034405144 is a wasteful number, since it uses less digits than its factorization.

200034405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132297909 (or 132297899 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 200034405144 its reverse (441504430002), we get a palindrome (641538835146).

The spelling of 200034405144 in words is "two hundred billion, thirty-four million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 132297887 264595774 396893661 529191548 793787322 926085209 1058383096 1190680983 1587574644 1852170418 2381361966 2778255627 3175149288 3572042949 3704340836 4762723932 5556511254 7144085898 7408681672 8334766881 9525447864 11113022508 14288171796 16669533762 22226045016 25004300643 28576343592 33339067524 50008601286 66678135048 100017202572 200034405144