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4340100034040 = 2352337971314433
BaseRepresentation
bin111111001010000010000…
…111101110110111111000
3120100220120000220112002012
4333022002013232313320
51032102011102042130
613121451530025052
7625363503412631
oct77120207566770
916326500815065
104340100034040
111423698360a71
125a1182878188
13256367632a24
141100c204c888
1577d68d10995
hex3f2821eedf8

4340100034040 has 128 divisors (see below), whose sum is σ = 10573096786560. Its totient is φ = 1599022301184.

The previous prime is 4340100034021. The next prime is 4340100034073. The reversal of 4340100034040 is 404300010434.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 4340100033997 and 4340100034015.

It is a congruent number.

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, 2644664 + ... + 3959096.

It is an arithmetic number, because the mean of its divisors is an integer number (82602318645).

Almost surely, 24340100034040 is an apocalyptic number.

4340100034040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340100034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286548393280).

4340100034040 is an abundant number, since it is smaller than the sum of its proper divisors (6232996752520).

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

4340100034040 is a wasteful number, since it uses less digits than its factorization.

4340100034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314601 (or 1314597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4340100034040 its reverse (404300010434), we get a palindrome (4744400044474).

The spelling of 4340100034040 in words is "four trillion, three hundred forty billion, one hundred million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 97 115 148 184 185 194 230 296 370 388 460 485 740 776 851 920 970 1480 1702 1940 2231 3404 3589 3880 4255 4462 6808 7178 8510 8924 11155 14356 17020 17848 17945 22310 28712 34040 35890 44620 71780 82547 89240 143560 165094 330188 412735 660376 825470 1314433 1650940 2628866 3301880 5257732 6572165 10515464 13144330 26288660 30231959 48634021 52577320 60463918 97268042 120927836 127500001 151159795 194536084 241855672 243170105 255000002 302319590 389072168 486340210 510000004 604639180 637500005 972680420 1020000008 1118582483 1209278360 1275000010 1945360840 2237164966 2550000020 2932500023 4474329932 4717500037 5100000040 5592912415 5865000046 8948659864 9435000074 11185824830 11730000092 14662500115 18870000148 22371649660 23460000184 23587500185 29325000230 37740000296 44743299320 47175000370 58650000460 94350000740 108502500851 117300000920 188700001480 217005001702 434010003404 542512504255 868020006808 1085025008510 2170050017020 4340100034040