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244400000420 = 225414327125577
BaseRepresentation
bin1110001110011101100…
…0000000110110100100
3212100211122201101212102
43203213120000312210
513001012400003140
6304135324111232
723441313504242
oct3434730006644
9770748641772
10244400000420
1194716479724
123b449095518
131a07bb34984
14bb86ba7792
156556394e15
hex38e7600da4

244400000420 has 96 divisors (see below), whose sum is σ = 539991277056. Its totient is φ = 92810188800.

The previous prime is 244400000419. The next prime is 244400000441. The reversal of 244400000420 is 24000004442.

It is a super-3 number, since 3×2444000004203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 244400000392 and 244400000401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9542672 + ... + 9568248.

It is an arithmetic number, because the mean of its divisors is an integer number (5624909136).

Almost surely, 2244400000420 is an apocalyptic number.

244400000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244400000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269995638528).

244400000420 is an abundant number, since it is smaller than the sum of its proper divisors (295591276636).

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

244400000420 is a wasteful number, since it uses less digits than its factorization.

244400000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25941 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 244400000420 its reverse (24000004442), we get a palindrome (268400004862).

The spelling of 244400000420 in words is "two hundred forty-four billion, four hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 271 410 430 542 820 860 1084 1355 1763 2710 3526 5420 7052 8815 11111 11653 17630 22222 23306 25577 35260 44444 46612 51154 55555 58265 102308 111110 116530 127885 222220 233060 255770 477773 511540 955546 1048657 1099811 1911092 2097314 2199622 2388865 4194628 4399244 4777730 5243285 5499055 6931367 9555460 10486570 10998110 13862734 20973140 21996220 27725468 34656835 45092251 69313670 90184502 138627340 180369004 225461255 284186047 298048781 450922510 568372094 596097562 901845020 1136744188 1192195124 1420930235 1490243905 2841860470 2980487810 5683720940 5960975620 12220000021 24440000042 48880000084 61100000105 122200000210 244400000420