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1013434071468 = 2237133372753867
BaseRepresentation
bin11101011111101010110…
…00001011100110101100
310120212211221222222001120
432233311120023212230
5113101003110241333
62053322025140540
7133134561322110
oct16576530134654
93525757888046
101013434071468
113608821276a5
121444b102a750
137474957b060
143709c6c5740
151b565d5bdb3
hexebf560b9ac

1013434071468 has 96 divisors (see below), whose sum is σ = 2919011956224. Its totient is φ = 266486105088.

The previous prime is 1013434071409. The next prime is 1013434071499. The reversal of 1013434071468 is 8641704343101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1008930 + ... + 1744937.

It is an arithmetic number, because the mean of its divisors is an integer number (30406374544).

Almost surely, 21013434071468 is an apocalyptic number.

It is an amenable number.

1013434071468 is an abundant number, since it is smaller than the sum of its proper divisors (1905577884756).

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

1013434071468 is a wasteful number, since it uses less digits than its factorization.

1013434071468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754231 (or 2754229 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1013434071468 in words is "one trillion, thirteen billion, four hundred thirty-four million, seventy-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 337 364 546 674 1011 1092 1348 2022 2359 4044 4381 4718 7077 8762 9436 13143 14154 17524 26286 28308 30667 52572 61334 92001 122668 184002 368004 2753867 5507734 8261601 11015468 16523202 19277069 33046404 35800271 38554138 57831207 71600542 77108276 107400813 115662414 143201084 214801626 231324828 250601897 429603252 501203794 751805691 928053179 1002407588 1503611382 1856106358 2784159537 3007222764 3712212716 5568319074 6496372253 11136638148 12064691327 12992744506 19489116759 24129382654 25985489012 36194073981 38978233518 48258765308 72388147962 77956467036 84452839289 144776295924 168905678578 253358517867 337811357156 506717035734 1013434071468