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44141377000 = 2353715141761
BaseRepresentation
bin101001000111000001…
…111111010111101000
311012221021210021201211
4221013001333113220
51210400143031000
632140034522504
73121602341140
oct510701772750
9135837707654
1044141377000
11177a1724966
12867aa36434
134216073cb6
1421ca603920
1512353867ba
hexa4707f5e8

44141377000 has 128 divisors (see below), whose sum is σ = 118831265280. Its totient is φ = 15033600000.

The previous prime is 44141376989. The next prime is 44141377001. The reversal of 44141377000 is 77314144.

It is a super-2 number, since 2×441413770002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44141377001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036120 + ... + 1077880.

It is an arithmetic number, because the mean of its divisors is an integer number (928369260).

Almost surely, 244141377000 is an apocalyptic number.

44141377000 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 44141377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415632640).

44141377000 is an abundant number, since it is smaller than the sum of its proper divisors (74689888280).

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

44141377000 is a wasteful number, since it uses less digits than its factorization.

44141377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41940 (or 41926 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 44141377000 in words is "forty-four billion, one hundred forty-one million, three hundred seventy-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 151 175 200 250 280 302 350 500 604 700 755 875 1000 1057 1208 1400 1510 1750 2114 3020 3500 3775 4228 5285 6040 7000 7550 8456 10570 15100 18875 21140 26425 30200 37750 41761 42280 52850 75500 83522 105700 132125 151000 167044 208805 211400 264250 292327 334088 417610 528500 584654 835220 1044025 1057000 1169308 1461635 1670440 2088050 2338616 2923270 4176100 5220125 5846540 6305911 7308175 8352200 10440250 11693080 12611822 14616350 20880500 25223644 29232700 31529555 36540875 41761000 44141377 50447288 58465400 63059110 73081750 88282754 126118220 146163500 157647775 176565508 220706885 252236440 292327000 315295550 353131016 441413770 630591100 788238875 882827540 1103534425 1261182200 1576477750 1765655080 2207068850 3152955500 4414137700 5517672125 6305911000 8828275400 11035344250 22070688500 44141377000