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6140606003000 = 235374003219143
BaseRepresentation
bin101100101011011100010…
…1000111011011100111000
3210202000222101112120110222
41121112320220323130320
51301101430114044000
621020542213355212
71202433640551110
oct131267050733470
923660871476428
106140606003000
111a58242004617
12832110638b08
1335709763cb41
141732c7ac8040
15a9ae7eb0a85
hex595b8a3b738

6140606003000 has 128 divisors (see below), whose sum is σ = 16425912222720. Its totient is φ = 2104815081600.

The previous prime is 6140606002997. The next prime is 6140606003011. The reversal of 6140606003000 is 3006060416.

It is a congruent number.

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, 27911429 + ... + 28130571.

It is an arithmetic number, because the mean of its divisors is an integer number (128327439240).

Almost surely, 26140606003000 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 6140606003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212956111360).

6140606003000 is an abundant number, since it is smaller than the sum of its proper divisors (10285306219720).

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

6140606003000 is a wasteful number, since it uses less digits than its factorization.

6140606003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223174 (or 223160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 6140606003000 in words is "six trillion, one hundred forty billion, six hundred six million, three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4003 7000 8006 16012 20015 28021 32024 40030 56042 80060 100075 112084 140105 160120 200150 219143 224168 280210 400300 438286 500375 560420 700525 800600 876572 1000750 1095715 1120840 1401050 1534001 1753144 2001500 2191430 2802100 3068002 3502625 4003000 4382860 5478575 5604200 6136004 7005250 7670005 8765720 10957150 12272008 14010500 15340010 21914300 27392875 28021000 30680020 38350025 43828600 54785750 61360040 76700050 109571500 153400100 191750125 219143000 306800200 383500250 767000500 877229429 1534001000 1754458858 3508917716 4386147145 6140606003 7017835432 8772294290 12281212006 17544588580 21930735725 24562424012 30703030015 35089177160 43861471450 49124848024 61406060030 87722942900 109653678625 122812120060 153515150075 175445885800 219307357250 245624240120 307030300150 438614714500 614060600300 767575750375 877229429000 1228121200600 1535151500750 3070303001500 6140606003000