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144101241220 = 22541197988799
BaseRepresentation
bin1000011000110100011…
…0100111000110000100
3111202221122220112001011
42012031012213012010
54330104404204340
6150111005412004
713260651224536
oct2061506470604
9452848815034
10144101241220
11561274373a2
1223b1726a004
1310786470151
146d901b7856
153b35ce40ea
hex218d1a7184

144101241220 has 48 divisors (see below), whose sum is σ = 310153536000. Its totient is φ = 56205582080.

The previous prime is 144101241209. The next prime is 144101241227. The reversal of 144101241220 is 22142101441.

It is a super-2 number, since 2×1441012412202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144101241191 and 144101241200.

It is not an unprimeable number, because it can be changed into a prime (144101241227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578381 + ... + 1667179.

It is an arithmetic number, because the mean of its divisors is an integer number (6461532000).

Almost surely, 2144101241220 is an apocalyptic number.

144101241220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144101241220 is an abundant number, since it is smaller than the sum of its proper divisors (166052294780).

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

144101241220 is a wasteful number, since it uses less digits than its factorization.

144101241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90828 (or 90826 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 144101241220 its reverse (22142101441), we get a palindrome (166243342661).

The spelling of 144101241220 in words is "one hundred forty-four billion, one hundred one million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1979 3958 7916 9895 19790 39580 81139 88799 162278 177598 324556 355196 405695 443995 811390 887990 1622780 1775980 3640759 7281518 14563036 18203795 36407590 72815180 175733221 351466442 702932884 878666105 1757332210 3514664420 7205062061 14410124122 28820248244 36025310305 72050620610 144101241220