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4020114420 = 22325719916033
BaseRepresentation
bin1110111110011110…
…0001001111110100
3101101011112222020200
43233213201033310
531213122130140
61502525000500
7201423260130
oct35747411764
911334488220
104020114420
111783282513
129423b3130
134c0b44c3a
142a1cac3c0
15187dea030
hexef9e13f4

4020114420 has 144 divisors (see below), whose sum is σ = 14007302400. Its totient is φ = 914208768.

The previous prime is 4020114401. The next prime is 4020114421. The reversal of 4020114420 is 244110204.

4020114420 is a `hidden beast` number, since 40 + 201 + 1 + 4 + 420 = 666.

It is a super-2 number, since 2×40201144202 = 32322639899783872800, which contains 22 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 = 4020114393 and 4020114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020114421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242724 + ... + 258756.

Almost surely, 24020114420 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 4020114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003651200).

4020114420 is an abundant number, since it is smaller than the sum of its proper divisors (9987187980).

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

4020114420 is a wasteful number, since it uses less digits than its factorization.

4020114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16254 (or 16249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4020114420 is about 63404.3722467150. The cubic root of 4020114420 is about 1590.0574086309.

Adding to 4020114420 its reverse (244110204), we get a palindrome (4264224624).

The spelling of 4020114420 in words is "four billion, twenty million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 199 210 252 315 398 420 597 630 796 995 1194 1260 1393 1791 1990 2388 2786 2985 3582 3980 4179 5572 5970 6965 7164 8358 8955 11940 12537 13930 16033 16716 17910 20895 25074 27860 32066 35820 41790 48099 50148 62685 64132 80165 83580 96198 112231 125370 144297 160330 192396 224462 240495 250740 288594 320660 336693 448924 480990 561155 577188 673386 721485 961980 1010079 1122310 1346772 1442970 1683465 2020158 2244620 2885940 3190567 3366930 4040316 5050395 6381134 6733860 9571701 10100790 12762268 15952835 19143402 20201580 22333969 28715103 31905670 38286804 44667938 47858505 57430206 63811340 67001907 89335876 95717010 111669845 114860412 134003814 143575515 191434020 201005721 223339690 268007628 287151030 335009535 402011442 446679380 574302060 670019070 804022884 1005028605 1340038140 2010057210 4020114420