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340032145440 = 25351354492331
BaseRepresentation
bin1001111001010110111…
…11101100100000100000
31012111200102110201111110
410330223133230200200
521032341212123230
6420113020543320
733365212355541
oct4745337544040
91174612421443
10340032145440
11121230310719
1255a980b1b40
13260ac757830
1412659aba4c8
158ca1de54b0
hex4f2b7ec820

340032145440 has 96 divisors (see below), whose sum is σ = 1153493683776. Its totient is φ = 83700218880.

The previous prime is 340032145379. The next prime is 340032145501. The reversal of 340032145440 is 44541230043.

It is an interprime number because it is at equal distance from previous prime (340032145379) and next prime (340032145501).

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 = 340032145398 and 340032145407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27239926 + ... + 27252405.

It is an arithmetic number, because the mean of its divisors is an integer number (12015559206).

Almost surely, 2340032145440 is an apocalyptic number.

340032145440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340032145440 is an abundant number, since it is smaller than the sum of its proper divisors (813461538336).

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

340032145440 is a wasteful number, since it uses less digits than its factorization.

340032145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54492362 (or 54492354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 340032145440 its reverse (44541230043), we get a palindrome (384573375483).

The spelling of 340032145440 in words is "three hundred forty billion, thirty-two million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 54492331 108984662 163476993 217969324 272461655 326953986 435938648 544923310 653907972 708400303 817384965 871877296 1089846620 1307815944 1416800606 1634769930 1743754592 2125200909 2179693240 2615631888 2833601212 3269539860 3542001515 4250401818 4359386480 5231263776 5667202424 6539079720 7084003030 8500803636 8718772960 10626004545 11334404848 13078159440 14168006060 17001607272 21252009090 22668809696 26156318880 28336012120 34003214544 42504018180 56672024240 68006429088 85008036360 113344048480 170016072720 340032145440