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4340123214240 = 253511821993033
BaseRepresentation
bin111111001010000011100…
…000001010000110100000
3120100220121122112012100010
4333022003200022012200
51032102033020323430
613121454114524520
7625364204425452
oct77120340120640
916326548465303
104340123214240
1114236aa453660
125a118a596740
1325636c38a818
141100c51642d2
1577d6ad8dcb0
hex3f28380a1a0

4340123214240 has 96 divisors (see below), whose sum is σ = 14914241608896. Its totient is φ = 1052151080960.

The previous prime is 4340123214223. The next prime is 4340123214247. The reversal of 4340123214240 is 424123210434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4340123214198 and 4340123214207.

It is not an unprimeable number, because it can be changed into a prime (4340123214247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410991237 + ... + 411001796.

It is an arithmetic number, because the mean of its divisors is an integer number (155356683426).

Almost surely, 24340123214240 is an apocalyptic number.

4340123214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4340123214240 is an abundant number, since it is smaller than the sum of its proper divisors (10574118394656).

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

4340123214240 is a wasteful number, since it uses less digits than its factorization.

4340123214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821993062 (or 821993054 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4340123214240 its reverse (424123210434), we get a palindrome (4764246424674).

The spelling of 4340123214240 in words is "four trillion, three hundred forty billion, one hundred twenty-three million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 821993033 1643986066 2465979099 3287972132 4109965165 4931958198 6575944264 8219930330 9041923363 9863916396 12329895495 13151888528 16439860660 18083846726 19727832792 24659790990 26303777056 27125770089 32879721320 36167693452 39455665584 45209616815 49319581980 54251540178 65759442640 72335386904 78911331168 90419233630 98639163960 108503080356 131518885280 135628850445 144670773808 180838467260 197278327920 217006160712 271257700890 289341547616 361676934520 394556655840 434012321424 542515401780 723353869040 868024642848 1085030803560 1446707738080 2170061607120 4340123214240