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4140002340 = 2234519134503
BaseRepresentation
bin1111011011000011…
…0110110000100100
3101200112010220120000
43312300312300210
531434320033330
61522450341300
7204410303445
oct36660666044
911615126500
104140002340
111834a18041
1297658a830
1350c92cb36
142b3b992cc
151936cc560
hexf6c36c24

4140002340 has 120 divisors (see below), whose sum is σ = 13670986560. Its totient is φ = 1045887552.

The previous prime is 4140002309. The next prime is 4140002437. The reversal of 4140002340 is 432000414.

4140002340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36472 + ... + 98031.

It is an arithmetic number, because the mean of its divisors is an integer number (113924888).

Almost surely, 24140002340 is an apocalyptic number.

It is an amenable number.

4140002340 is an abundant number, since it is smaller than the sum of its proper divisors (9530984220).

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

4140002340 is a wasteful number, since it uses less digits than its factorization.

4140002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134543 (or 134532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140002340 is about 64342.8499524228. The cubic root of 4140002340 is about 1605.7090761560.

Adding to 4140002340 its reverse (432000414), we get a palindrome (4572002754).

The spelling of 4140002340 in words is "four billion, one hundred forty million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 134503 269006 403509 538012 672515 807018 1210527 1345030 1614036 2017545 2421054 2555557 2690060 3631581 4035090 4842108 5111114 6052635 7263162 7666671 8070180 10222228 10894743 12105270 12777785 14526324 15333342 18157905 21789486 23000013 24210540 25555570 30666684 36315810 38333355 43578972 46000026 51111140 54473715 69000039 72631620 76666710 92000052 108947430 115000065 138000078 153333420 207000117 217894860 230000130 276000156 345000195 414000234 460000260 690000390 828000468 1035000585 1380000780 2070001170 4140002340