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4113295343040 = 263513329590973
BaseRepresentation
bin111011110110110011100…
…000011111110111000000
3112120020010121212110010110
4323312303200133313000
51014343012101434130
612425342150231320
7603114202351512
oct73666340376700
915506117773113
104113295343040
111346490a95784
12565226355540
1323ab60c37060
14103128049bb2
1571ee2535ab0
hex3bdb381fdc0

4113295343040 has 112 divisors (see below), whose sum is σ = 14064306042528. Its totient is φ = 1012503465984.

The previous prime is 4113295342991. The next prime is 4113295343083. The reversal of 4113295343040 is 403435923114.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4113295343040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164783007 + ... + 164807966.

It is an arithmetic number, because the mean of its divisors is an integer number (125574161094).

Almost surely, 24113295343040 is an apocalyptic number.

4113295343040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113295343040 is an abundant number, since it is smaller than the sum of its proper divisors (9951010699488).

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

4113295343040 is a wasteful number, since it uses less digits than its factorization.

4113295343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329591006 (or 329590996 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 4113295343040 in words is "four trillion, one hundred thirteen billion, two hundred ninety-five million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 329590973 659181946 988772919 1318363892 1647954865 1977545838 2636727784 3295909730 3955091676 4284682649 4943864595 5273455568 6591819460 7910183352 8569365298 9887729190 10546911136 12854047947 13183638920 15820366704 17138730596 19775458380 21093822272 21423413245 25708095894 26367277840 31640733408 34277461192 39550916760 42846826490 51416191788 52734555680 63281466816 64270239735 68554922384 79101833520 85693652980 102832383576 105469111360 128540479470 137109844768 158203667040 171387305960 205664767152 257080958940 274219689536 316407334080 342774611920 411329534304 514161917880 685549223840 822659068608 1028323835760 1371098447680 2056647671520 4113295343040