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244504046116 = 2211217291024693
BaseRepresentation
bin1110001110110110010…
…0111010101000100100
3212101002220111110201201
43203231210322220210
513001221013433431
6304153522132244
723444016046411
oct3435544725044
9771086443651
10244504046116
119476a183800
123b477ab1084
131a097563a85
14bb9692d108
156560598461
hex38ed93aa24

244504046116 has 72 divisors (see below), whose sum is σ = 515154661560. Its totient is φ = 100993643520.

The previous prime is 244504046113. The next prime is 244504046147. The reversal of 244504046116 is 611640405442.

It is a happy number.

244504046116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81707935716 + 162796110400 = 285846^2 + 403480^2 .

It is not an unprimeable number, because it can be changed into a prime (244504046113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 273735 + ... + 750958.

It is an arithmetic number, because the mean of its divisors is an integer number (7154925855).

Almost surely, 2244504046116 is an apocalyptic number.

It is an amenable number.

244504046116 is an abundant number, since it is smaller than the sum of its proper divisors (270650615444).

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

244504046116 is a wasteful number, since it uses less digits than its factorization.

244504046116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024765 (or 1024752 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 244504046116 in words is "two hundred forty-four billion, five hundred four million, forty-six thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 29 34 44 58 68 116 121 187 242 319 374 484 493 638 748 986 1276 1972 2057 3509 4114 5423 7018 8228 10846 14036 21692 59653 119306 238612 1024693 2049386 4098772 11271623 17419781 22543246 29716097 34839562 45086492 59432194 69679124 118864388 123987853 191617591 247975706 326877067 383235182 495951412 505173649 653754134 766470364 1010347298 1307508268 2020694596 2107793501 3595647737 4215587002 5556910139 7191295474 8431174004 11113820278 14382590948 22227640556 61126011529 122252023058 244504046116