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44163436144 = 24195910124379
BaseRepresentation
bin101001001000010110…
…001000111001110000
311012222211022000012011
4221020112020321300
51210421314424034
632142143412304
73122261004412
oct511026107160
9135884260164
1044163436144
1117803121263
1286862b4094
13421a7c8749
1421cd5069b2
151237292864
hexa48588e70

44163436144 has 80 divisors (see below), whose sum is σ = 92507472000. Its totient is φ = 20360505600.

The previous prime is 44163436129. The next prime is 44163436159.

44163436144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44163436129) and next prime (44163436159).

It is a junction number, because it is equal to n+sod(n) for n = 44163436097 and 44163436106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799347 + ... + 1823725.

It is an arithmetic number, because the mean of its divisors is an integer number (1156343400).

Almost surely, 244163436144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44163436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46253736000).

44163436144 is an abundant number, since it is smaller than the sum of its proper divisors (48344035856).

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

44163436144 is a wasteful number, since it uses less digits than its factorization.

44163436144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24566 (or 24560 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 44163436144 in words is "forty-four billion, one hundred sixty-three million, four hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 59 76 101 118 152 202 236 304 404 472 808 944 1121 1616 1919 2242 3838 4484 5959 7676 8968 11918 15352 17936 23836 24379 30704 47672 48758 95344 97516 113221 195032 226442 390064 452884 463201 905768 926402 1438361 1811536 1852804 2462279 2876722 3705608 4924558 5753444 7411216 9849116 11506888 19698232 23013776 27328859 39396464 46783301 54657718 93566602 109315436 145274461 187133204 218630872 290548922 374266408 437261744 581097844 748532816 1162195688 2324391376 2760214759 5520429518 11040859036 22081718072 44163436144