Search a number
-
+
423142142014000 = 24531984110663327
BaseRepresentation
bin110000000110110000111010…
…1000100000111001000110000
32001111012222211102021100210201
41200031201311010013020300
5420430230101323422000
64055540452205204544
7155062003512261403
oct14015416504071060
92044188742240721
10423142142014000
1111290a635968352
123b55b947260754
1315215195931976
14766c290691d3a
1533dbd714e096a
hex180d875107230

423142142014000 has 80 divisors (see below), whose sum is σ = 1023209363195136. Its totient is φ = 169248310272000.

The previous prime is 423142142013979. The next prime is 423142142014021. The reversal of 423142142014000 is 410241241324.

It is an interprime number because it is at equal distance from previous prime (423142142013979) and next prime (423142142014021).

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

It is a super-3 number, since 3×4231421420140003 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 423142142014000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34350337 + ... + 45013663.

Almost surely, 2423142142014000 is an apocalyptic number.

423142142014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423142142014000 is an abundant number, since it is smaller than the sum of its proper divisors (600067221181136).

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

423142142014000 is a wasteful number, since it uses less digits than its factorization.

423142142014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683191 (or 10683175 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 423142142014000 its reverse (410241241324), we get a palindrome (423552383255324).

The spelling of 423142142014000 in words is "four hundred twenty-three trillion, one hundred forty-two billion, one hundred forty-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 19841 39682 79364 99205 158728 198410 317456 396820 496025 793640 992050 1587280 1984100 2480125 3968200 4960250 7936400 9920500 10663327 19841000 21326654 39682000 42653308 53316635 85306616 106633270 170613232 213266540 266583175 426533080 533166350 853066160 1066332700 1332915875 2132665400 2665831750 4265330800 5331663500 10663327000 21326654000 211571071007 423142142014 846284284028 1057855355035 1692568568056 2115710710070 3385137136112 4231421420140 5289276775175 8462842840280 10578553550350 16925685680560 21157107100700 26446383875875 42314214201400 52892767751750 84628428402800 105785535503500 211571071007000 423142142014000