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2300420240028 = 22324011213131371
BaseRepresentation
bin100001011110011011101…
…110110011001010011100
322010220210020112021122200
4201132123232303022130
5300142230040140103
64520444245211500
7325125362261121
oct41363356631234
98126706467580
102300420240028
1180766a287699
12311a06100b90
13138c0c470001
147d4ab744748
153ec8c4ec0a3
hex2179bbb329c

2300420240028 has 72 divisors (see below), whose sum is σ = 5834302511856. Its totient is φ = 764258112000.

The previous prime is 2300420240021. The next prime is 2300420240029. The reversal of 2300420240028 is 8200420240032.

2300420240028 is a `hidden beast` number, since 2 + 30 + 0 + 4 + 202 + 400 + 28 = 666.

It is a super-2 number, since 2×23004202400282 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300420239983 and 2300420240010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300420240021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17445183 + ... + 17576553.

Almost surely, 22300420240028 is an apocalyptic number.

It is an amenable number.

2300420240028 is an abundant number, since it is smaller than the sum of its proper divisors (3533882271828).

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

2300420240028 is a wasteful number, since it uses less digits than its factorization.

2300420240028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132995 (or 132990 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 2300420240028 in words is "two trillion, three hundred billion, four hundred twenty million, two hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1213 1604 2406 2426 3609 3639 4812 4852 7218 7278 10917 14436 14556 21834 43668 131371 262742 394113 486413 525484 788226 972826 1182339 1459239 1576452 1945652 2364678 2918478 4377717 4729356 5836956 8755434 17510868 52679771 105359542 158039313 159353023 210719084 316078626 318706046 474117939 478059069 632157252 637412092 948235878 956118138 1434177207 1896471756 1912236276 2868354414 5736708828 63900562223 127801124446 191701686669 255602248892 383403373338 575105060007 766806746676 1150210120014 2300420240028