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4201240421024 = 251719406466759
BaseRepresentation
bin111101001000101101011…
…100010110001010100000
3112212122010200001022011222
4331020231130112022200
51022313120021433044
612534005002354212
7612346440236003
oct75105534261240
915778120038158
104201240421024
11137a810767509
1257a28aabb968
132462380c243a
141074ac07353a
157443d2a18ee
hex3d22d7162a0

4201240421024 has 48 divisors (see below), whose sum is σ = 9218666116800. Its totient is φ = 1872998820864.

The previous prime is 4201240420991. The next prime is 4201240421107.

It is a happy number.

4201240421024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4201240420984 and 4201240421002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203223044 + ... + 203243715.

It is an arithmetic number, because the mean of its divisors is an integer number (192055544100).

Almost surely, 24201240421024 is an apocalyptic number.

It is an amenable number.

4201240421024 is an abundant number, since it is smaller than the sum of its proper divisors (5017425695776).

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

4201240421024 is a wasteful number, since it uses less digits than its factorization.

4201240421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406466805 (or 406466797 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4201240 and 421024, that added together give a palindrome (4622264).

The spelling of 4201240421024 in words is "four trillion, two hundred one billion, two hundred forty million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 406466759 812933518 1625867036 3251734072 6503468144 6909934903 7722868421 13006936288 13819869806 15445736842 27639739612 30891473684 55279479224 61782947368 110558958448 123565894736 131288763157 221117916896 247131789472 262577526314 525155052628 1050310105256 2100620210512 4201240421024