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44450314000 = 245341547991
BaseRepresentation
bin101001011001011100…
…011111011100010000
311020201211002220121221
4221121130133130100
51212013240022000
632230432254424
73132343302121
oct513134373420
9136654086557
1044450314000
11179400528a4
1287463a1414
134265080861
142219662048
15125255d61a
hexa5971f710

44450314000 has 160 divisors (see below), whose sum is σ = 110414932992. Its totient is φ = 17297280000.

The previous prime is 44450313979. The next prime is 44450314067. The reversal of 44450314000 is 41305444.

44450314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44853505 + ... + 44854495.

Almost surely, 244450314000 is an apocalyptic number.

44450314000 is a gapful number since it is divisible by the number (40) 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 44450314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55207466496).

44450314000 is an abundant number, since it is smaller than the sum of its proper divisors (65964618992).

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

44450314000 is a wasteful number, since it uses less digits than its factorization.

44450314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 44450314000 its reverse (41305444), we get a palindrome (44491619444).

The spelling of 44450314000 in words is "forty-four billion, four hundred fifty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 547 656 820 991 1000 1025 1094 1640 1982 2000 2050 2188 2735 3280 3964 4100 4376 4955 5125 5470 7928 8200 8752 9910 10250 10940 13675 15856 16400 19820 20500 21880 22427 24775 27350 39640 40631 41000 43760 44854 49550 54700 68375 79280 81262 82000 89708 99100 109400 112135 123875 136750 162524 179416 198200 203155 218800 224270 247750 273500 325048 358832 396400 406310 448540 495500 542077 547000 560675 650096 812620 897080 991000 1015775 1084154 1094000 1121350 1625240 1794160 1982000 2031550 2168308 2242700 2710385 2803375 3250480 4063100 4336616 4485400 5078875 5420770 5606750 8126200 8673232 8970800 10157750 10841540 11213500 13551925 16252400 20315500 21683080 22225157 22427000 27103850 40631000 43366160 44450314 44854000 54207700 67759625 81262000 88900628 108415400 111125785 135519250 177801256 216830800 222251570 271038500 355602512 444503140 542077000 555628925 889006280 1084154000 1111257850 1778012560 2222515700 2778144625 4445031400 5556289250 8890062800 11112578500 22225157000 44450314000