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4023020010420 = 2232597829228461
BaseRepresentation
bin111010100010101110101…
…011011011101110110100
3112020121010011220101122200
4322202232223123232310
51011403121110313140
612320052212424500
7563440120604115
oct72425653335664
915217104811580
104023020010420
111311175a09174
1254b831318130
132324a5072988
14dca0275a20c
156e9abe1e030
hex3a8aeadbbb4

4023020010420 has 72 divisors (see below), whose sum is σ = 12203338853160. Its totient is φ = 1072789674240.

The previous prime is 4023020010397. The next prime is 4023020010421. The reversal of 4023020010420 is 240100203204.

4023020010420 is a `hidden beast` number, since 4 + 0 + 2 + 30 + 200 + 10 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343482733476 + 3679537276944 = 586074^2 + 1918212^2 .

It is a super-3 number, since 3×40230200104203 (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4023020010393 and 4023020010402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023020010421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17494990 + ... + 17723450.

It is an arithmetic number, because the mean of its divisors is an integer number (169490817405).

Almost surely, 24023020010420 is an apocalyptic number.

It is an amenable number.

4023020010420 is an abundant number, since it is smaller than the sum of its proper divisors (8180318842740).

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

4023020010420 is a wasteful number, since it uses less digits than its factorization.

4023020010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326305 (or 326300 counting only the distinct ones).

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

Adding to 4023020010420 its reverse (240100203204), we get a palindrome (4263120213624).

The spelling of 4023020010420 in words is "four trillion, twenty-three billion, twenty million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 97829 195658 228461 293487 391316 456922 489145 586974 685383 880461 913844 978290 1142305 1173948 1370766 1467435 1760922 1956580 2056149 2284610 2741532 2934870 3426915 3521844 4112298 4402305 4569220 5869740 6853830 8224596 8804610 10280745 13707660 17609220 20561490 41122980 22350111169 44700222338 67050333507 89400444676 111750555845 134100667014 201151000521 223501111690 268201334028 335251667535 402302001042 447002223380 670503335070 804604002084 1005755002605 1341006670140 2011510005210 4023020010420