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144333111221420 = 225113793759146049
BaseRepresentation
bin100000110100010100101011…
…110100101101110010101100
3200221001002222200110121002112
4200310110223310231302230
5122404223202433041140
61230545414350343152
742254503021666022
oct4064245364556254
9627032880417075
10144333111221420
1141a97368589910
1214230882abaab8
13626c728156634
14278da8d092712
1511a467e992c65
hex83452bd2dcac

144333111221420 has 96 divisors (see below), whose sum is σ = 331542493632000. Its totient is φ = 52343756236800.

The previous prime is 144333111221401. The next prime is 144333111221471. The reversal of 144333111221420 is 24122111333441.

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, 3134314556 + ... + 3134360604.

It is an arithmetic number, because the mean of its divisors is an integer number (3453567642000).

Almost surely, 2144333111221420 is an apocalyptic number.

144333111221420 is a gapful number since it is divisible by the number (10) 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 144333111221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165771246816000).

144333111221420 is an abundant number, since it is smaller than the sum of its proper divisors (187209382410580).

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

144333111221420 is a wasteful number, since it uses less digits than its factorization.

144333111221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84039 (or 84037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 144333111221420 its reverse (24122111333441), we get a palindrome (168455222554861).

The spelling of 144333111221420 in words is "one hundred forty-four trillion, three hundred thirty-three billion, one hundred eleven million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1895 3790 4169 7580 8338 16676 20845 37591 41690 46049 75182 83380 92098 150364 184196 187955 230245 375910 413501 460490 506539 751820 827002 920980 1013078 1654004 2026156 2067505 2532695 4135010 5065390 8270020 10130780 14246989 17452571 28493978 34905142 56987956 69810284 71234945 87262855 142469890 156716879 174525710 191978281 284939780 313433758 349051420 383956562 626867516 767913124 783584395 959891405 1567168790 1731027959 1919782810 3134337580 3462055918 3839565620 6924111836 8655139795 17310279590 19041307549 34620559180 38082615098 76165230196 95206537745 190413075490 380826150980 656059596461 1312119192922 2624238385844 3280297982305 6560595964610 7216655561071 13121191929220 14433311122142 28866622244284 36083277805355 72166555610710 144333111221420