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424002121020 = 22335787997699
BaseRepresentation
bin1100010101110000111…
…11101110110100111100
31111112102102210110012000
412022320133232310330
523421324020333040
6522441152542300
742430111364142
oct6127037566474
91445372713160
10424002121020
11153900164155
126a211551990
1330ca21cac0a
1416743bd1592
15b068ba8130
hex62b87eed3c

424002121020 has 96 divisors (see below), whose sum is σ = 1320795168000. Its totient is φ = 112923450432.

The previous prime is 424002121003. The next prime is 424002121043. The reversal of 424002121020 is 20121200424.

424002121020 is a `hidden beast` number, since 42 + 400 + 212 + 10 + 2 + 0 = 666.

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 = 424002120984 and 424002121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73870 + ... + 923829.

It is an arithmetic number, because the mean of its divisors is an integer number (13758283000).

Almost surely, 2424002121020 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 424002121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660397584000).

424002121020 is an abundant number, since it is smaller than the sum of its proper divisors (896793046980).

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

424002121020 is a wasteful number, since it uses less digits than its factorization.

424002121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998504 (or 998496 counting only the distinct ones).

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

Adding to 424002121020 its reverse (20121200424), we get a palindrome (444123321444).

The spelling of 424002121020 in words is "four hundred twenty-four billion, two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 787 1574 2361 3148 3935 4722 7083 7870 9444 11805 14166 15740 21249 23610 28332 35415 42498 47220 70830 84996 106245 141660 212490 424980 997699 1995398 2993097 3990796 4988495 5986194 8979291 9976990 11972388 14965485 17958582 19953980 26937873 29930970 35917164 44896455 53875746 59861940 89792910 107751492 134689365 179585820 269378730 538757460 785189113 1570378226 2355567339 3140756452 3925945565 4711134678 7066702017 7851891130 9422269356 11777836695 14133404034 15703782260 21200106051 23555673390 28266808068 35333510085 42400212102 47111346780 70667020170 84800424204 106000530255 141334040340 212001060510 424002121020