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334424331142440 = 233571136193109431
BaseRepresentation
bin100110000001010000011101…
…1011101100100010100101000
31121212002122122122020111222220
41030002200323131210110220
5322313202012233024230
63143132230010314040
7130304234453320650
oct11402407335442450
91555078578214886
10334424331142440
1197615620561a20
1231611813a28920
131147b104a59c16
145c8231c8bd360
15289e2270ddd10
hex130283b764528

334424331142440 has 128 divisors (see below), whose sum is σ = 1250833861969920. Its totient is φ = 69490770105600.

The previous prime is 334424331142427. The next prime is 334424331142453. The reversal of 334424331142440 is 44241133424433.

It is an interprime number because it is at equal distance from previous prime (334424331142427) and next prime (334424331142453).

It is a super-2 number, since 2×3344243311424402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 334424331142392 and 334424331142401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18096545476 + ... + 18096563955.

It is an arithmetic number, because the mean of its divisors is an integer number (9772139546640).

Almost surely, 2334424331142440 is an apocalyptic number.

334424331142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334424331142440 is an abundant number, since it is smaller than the sum of its proper divisors (916409530827480).

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

334424331142440 is a wasteful number, since it uses less digits than its factorization.

334424331142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36193109463 (or 36193109459 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 334424331142440 its reverse (44241133424433), we get a palindrome (378665464566873).

The spelling of 334424331142440 in words is "three hundred thirty-four trillion, four hundred twenty-four billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 36193109431 72386218862 108579328293 144772437724 180965547155 217158656586 253351766017 289544875448 361931094310 398124203741 434317313172 506703532034 542896641465 723862188620 760055298051 796248407482 868634626344 1013407064068 1085793282930 1194372611223 1266758830085 1447724377240 1520110596102 1592496814964 1990621018705 2026814128136 2171586565860 2388745222446 2533517660170 2786869426187 3040221192204 3184993629928 3800276490255 3981242037410 4343173131720 4777490444892 5067035320340 5573738852374 5971863056115 6080442384408 7600552980510 7962484074820 8360608278561 9554980889784 10134070640680 11147477704748 11943726112230 13934347130935 15201105961020 15924968149640 16721216557122 22294955409496 23887452224460 27868694261870 30402211922040 33442433114244 41803041392805 47774904448920 55737388523740 66884866228488 83606082785610 111474777047480 167212165571220 334424331142440