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3416010926640 = 2435131935672929
BaseRepresentation
bin110001101101011010000…
…111100010101000110000
3110002120022200012222202220
4301231122013202220300
5421431442244123030
611133143241241040
7501540635534364
oct61553207425060
913076280188686
103416010926640
1110a77a4127254
12472067193180
131ba18927ba20
14bb49b6732a4
155dcd1a90a10
hex31b5a1e2a30

3416010926640 has 160 divisors (see below), whose sum is σ = 11463312342720. Its totient is φ = 836507271168.

The previous prime is 3416010926563. The next prime is 3416010926651. The reversal of 3416010926640 is 466290106143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3416010926592 and 3416010926601.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2234305 + ... + 3438624.

It is an arithmetic number, because the mean of its divisors is an integer number (71645702142).

Almost surely, 23416010926640 is an apocalyptic number.

3416010926640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3416010926640 is an abundant number, since it is smaller than the sum of its proper divisors (8047301416080).

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

3416010926640 is a wasteful number, since it uses less digits than its factorization.

3416010926640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673151 (or 5673145 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 3416010926640 in words is "three trillion, four hundred sixteen billion, ten million, nine hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 193 195 208 240 260 312 386 390 520 579 624 772 780 965 1040 1158 1544 1560 1930 2316 2509 2895 3088 3120 3860 4632 5018 5790 7527 7720 9264 10036 11580 12545 15054 15440 20072 23160 25090 30108 37635 40144 46320 50180 60216 75270 100360 120432 150540 200720 301080 602160 5672929 11345858 17018787 22691716 28364645 34037574 45383432 56729290 68075148 73748077 85093935 90766864 113458580 136150296 147496154 170187870 221244231 226917160 272300592 294992308 340375740 368740385 442488462 453834320 589984616 680751480 737480770 884976924 1094875297 1106221155 1179969232 1361502960 1474961540 1769953848 2189750594 2212442310 2949923080 3284625891 3539907696 4379501188 4424884620 5474376485 5899846160 6569251782 8759002376 8849769240 10948752970 13138503564 14233378861 16423129455 17518004752 17699538480 21897505940 26277007128 28466757722 32846258910 42700136583 43795011880 52554014256 56933515444 65692517820 71166894305 85400273166 87590023760 113867030888 131385035640 142333788610 170800546332 213500682915 227734061776 262770071280 284667577220 341601092664 427001365830 569335154440 683202185328 854002731660 1138670308880 1708005463320 3416010926640