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1000485344304 = 243331531409579
BaseRepresentation
bin11101000111100011001…
…00101101010000110000
310112122102112200110201000
432203301210231100300
5112342443222004204
62043341105042000
7132165650053005
oct16436144552060
93478375613630
101000485344304
11356337992296
12141a98626300
13734649bbc14
14365d0aa58ac
151b059187039
hexe8f192d430

1000485344304 has 160 divisors (see below), whose sum is σ = 3020335257600. Its totient is φ = 316647601920.

The previous prime is 1000485344281. The next prime is 1000485344363. The reversal of 1000485344304 is 4034435840001.

1000485344304 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 8 + 5 + 344 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987 + ... + 1414565.

It is an arithmetic number, because the mean of its divisors is an integer number (18877095360).

Almost surely, 21000485344304 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 1000485344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510167628800).

1000485344304 is an abundant number, since it is smaller than the sum of its proper divisors (2019849913296).

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

1000485344304 is a wasteful number, since it uses less digits than its factorization.

1000485344304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409680 (or 1409668 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1000485344304 in words is "one trillion, four hundred eighty-five million, three hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 53 54 62 72 93 106 108 124 144 159 186 212 216 248 279 318 372 424 432 477 496 558 636 744 837 848 954 1116 1272 1431 1488 1643 1674 1908 2232 2544 2862 3286 3348 3816 4464 4929 5724 6572 6696 7632 9858 11448 13144 13392 14787 19716 22896 26288 29574 39432 44361 59148 78864 88722 118296 177444 236592 354888 709776 1409579 2819158 4228737 5638316 8457474 11276632 12686211 16914948 22553264 25372422 33829896 38058633 43696949 50744844 67659792 74707687 76117266 87393898 101489688 131090847 149415374 152234532 174787796 202979376 224123061 262181694 298830748 304469064 349575592 393272541 448246122 524363388 597661496 608938128 672369183 699151184 786545082 896492244 1048726776 1179817623 1195322992 1344738366 1573090164 1792984488 2017107549 2097453552 2315938297 2359635246 2689476732 3146180328 3585968976 4034215098 4631876594 4719270492 5378953464 6292360656 6947814891 8068430196 9263753188 9438540984 10757906928 13895629782 16136860392 18527506376 18877081968 20843444673 27791259564 32273720784 37055012752 41686889346 55582519128 62530334019 83373778692 111165038256 125060668038 166747557384 250121336076 333495114768 500242672152 1000485344304