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340605652460144 = 24194219667939761
BaseRepresentation
bin100110101110001110110111…
…0111011000110001001110000
31122122222120201112211101021112
41031130131232323012021300
5324120440334012211034
63204224024314412452
7131512642405520351
oct11534355673061160
91578876645741245
10340605652460144
1199589056274055
123224b7a7a31128
1311808c8a6c1346
146017589b77d28
152959e047817ce
hex135c76eec6270

340605652460144 has 80 divisors (see below), whose sum is σ = 694942422624000. Its totient is φ = 161273071733760.

The previous prime is 340605652460081. The next prime is 340605652460149. The reversal of 340605652460144 is 441064256506043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340605652460092 and 340605652460101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340605652460149) 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, 8566305224 + ... + 8566344984.

It is an arithmetic number, because the mean of its divisors is an integer number (8686780282800).

Almost surely, 2340605652460144 is an apocalyptic number.

It is an amenable number.

340605652460144 is an abundant number, since it is smaller than the sum of its proper divisors (354336770163856).

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

340605652460144 is a wasteful number, since it uses less digits than its factorization.

340605652460144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50686 (or 50680 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 340605652460144 in words is "three hundred forty trillion, six hundred five billion, six hundred fifty-two million, four hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 4219 6679 8438 13358 16876 26716 33752 39761 53432 67504 79522 80161 106864 126901 159044 160322 253802 318088 320644 507604 636176 641288 755459 1015208 1282576 1510918 2030416 3021836 6043672 12087344 28178701 56357402 112714804 167751659 225429608 265563719 335503318 450859216 531127438 535395319 671006636 1062254876 1070790638 1342013272 2124509752 2141581276 2684026544 3187281521 4249019504 4283162552 5045710661 6374563042 8566325104 10091421322 12749126084 20182842644 25498252168 40365685288 50996504336 80731370576 1120413330461 2240826660922 4481653321844 8963306643688 17926613287376 21287853278759 42575706557518 85151413115036 170302826230072 340605652460144