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4034401423340 = 2252979720174327
BaseRepresentation
bin111010101101010101000…
…100000100111111101100
3112021200111101001002001112
4322231111010010333230
51012044423231021330
612325213423531152
7564322141166021
oct72552504047754
915250441032045
104034401423340
111315a86477152
12551a88a59ab8
1323359a001632
14dd3a2153548
156ee261ee795
hex3ab55104fec

4034401423340 has 96 divisors (see below), whose sum is σ = 8781765793920. Its totient is φ = 1555027697664.

The previous prime is 4034401423321. The next prime is 4034401423343. The reversal of 4034401423340 is 433241044304.

It is a junction number, because it is equal to n+sod(n) for n = 4034401423297 and 4034401423306.

It is not an unprimeable number, because it can be changed into a prime (4034401423343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932376257 + ... + 932380583.

It is an arithmetic number, because the mean of its divisors is an integer number (91476727020).

Almost surely, 24034401423340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034401423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390882896960).

4034401423340 is an abundant number, since it is smaller than the sum of its proper divisors (4747364370580).

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

4034401423340 is a wasteful number, since it uses less digits than its factorization.

4034401423340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4034401423340 its reverse (433241044304), we get a palindrome (4467642467644).

The spelling of 4034401423340 in words is "four trillion, thirty-four billion, four hundred one million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 797 1594 2017 3188 3985 4034 4327 7970 8068 8654 10085 15940 17308 20170 21635 23113 40340 43270 46226 58493 86540 92452 115565 116986 125483 231130 233972 250966 292465 462260 501932 584930 627415 1169860 1254830 1607549 2509660 3215098 3448619 6430196 6897238 8037745 8727559 13794476 16075490 17243095 17455118 32150980 34486190 34910236 43637795 46618921 68972380 87275590 93237842 100009951 174551180 186475684 200019902 233094605 253099211 400039804 466189210 500049755 506198422 932378420 1000099510 1012396844 1265496055 2000199020 2530992110 5061984220 6955864523 13911729046 27823458092 34779322615 69558645230 139117290460 201720071167 403440142334 806880284668 1008600355835 2017200711670 4034401423340