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44433114420 = 223523181177889
BaseRepresentation
bin101001011000011010…
…111000010100110100
311020200121202002020110
4221120122320110310
51211444334130140
632225015503020
73132044145432
oct513032702464
9136617662213
1044433114420
1117931375572
128740687a70
13426163aca6
142217265d52
151250cb2380
hexa586b8534

44433114420 has 96 divisors (see below), whose sum is σ = 130539951360. Its totient is φ = 11270983680.

The previous prime is 44433114419. The next prime is 44433114457. The reversal of 44433114420 is 2441133444.

It is a super-3 number, since 3×444331144203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 160836 + ... + 338724.

It is an arithmetic number, because the mean of its divisors is an integer number (1359791160).

Almost surely, 244433114420 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 44433114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65269975680).

44433114420 is an abundant number, since it is smaller than the sum of its proper divisors (86106836940).

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

44433114420 is a wasteful number, since it uses less digits than its factorization.

44433114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178105 (or 178103 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 44433114420 its reverse (2441133444), we get a palindrome (46874247864).

The spelling of 44433114420 in words is "forty-four billion, four hundred thirty-three million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 181 230 276 345 362 460 543 690 724 905 1086 1380 1810 2172 2715 3620 4163 5430 8326 10860 12489 16652 20815 24978 41630 49956 62445 83260 124890 177889 249780 355778 533667 711556 889445 1067334 1778890 2134668 2668335 3557780 4091447 5336670 8182894 10673340 12274341 16365788 20457235 24548682 32197909 40914470 49097364 61371705 64395818 81828940 96593727 122743410 128791636 160989545 193187454 245486820 321979090 386374908 482968635 643958180 740551907 965937270 1481103814 1931874540 2221655721 2962207628 3702759535 4443311442 7405519070 8886622884 11108278605 14811038140 22216557210 44433114420