Search a number
-
+
4340144403120 = 243553341206321
BaseRepresentation
bin111111001010000100110…
…000111111001010110000
3120100220200010101201000110
4333022010300333022300
51032102103431344440
613121500153021320
7625364552505561
oct77120460771260
916326603351013
104340144403120
111423710406129
125a11956b4840
13256373899116
141100c7cbc168
1577d6cb77080
hex3f284c3f2b0

4340144403120 has 80 divisors (see below), whose sum is σ = 13708305192672. Its totient is φ = 1135534632960.

The previous prime is 4340144403113. The next prime is 4340144403121. The reversal of 4340144403120 is 213044410434.

4340144403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43401444031202 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4340144403121) 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, 170590441 + ... + 170615880.

Almost surely, 24340144403120 is an apocalyptic number.

4340144403120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4340144403120 is an abundant number, since it is smaller than the sum of its proper divisors (9368160789552).

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

4340144403120 is a wasteful number, since it uses less digits than its factorization.

4340144403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341206390 (or 341206384 counting only the distinct ones).

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

Adding to 4340144403120 its reverse (213044410434), we get a palindrome (4553188813554).

The spelling of 4340144403120 in words is "four trillion, three hundred forty billion, one hundred forty-four million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 341206321 682412642 1023618963 1364825284 1706031605 2047237926 2729650568 3412063210 4094475852 5118094815 5459301136 6824126420 8188951704 10236189630 13648252840 16377903408 18083935013 20472379260 27296505680 36167870026 40944758520 54251805039 72335740052 81889517040 90419675065 108503610078 144671480104 180839350130 217007220156 271259025195 289342960208 361678700260 434014440312 542518050390 723357400520 868028880624 1085036100780 1446714801040 2170072201560 4340144403120