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44000100707328 = 2103223909199687
BaseRepresentation
bin10100000000100100100100…
…10111110110110000000000
312202210100221200010011201200
422000102102113312300000
521231344201240113303
6233325211152501200
712160621341046203
oct1200222227666000
9182710850104650
1044000100707328
1113024379850637
124b2762084a800
131b722651c391c
14ac188ad5193a
1551482496b3a3
hex2804925f6c00

44000100707328 has 132 divisors (see below), whose sum is σ = 127055286068880. Its totient is φ = 14666013351936.

The previous prime is 44000100707293. The next prime is 44000100707369. The reversal of 44000100707328 is 82370700100044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44000100707292 and 44000100707301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220245501 + ... + 220445187.

Almost surely, 244000100707328 is an apocalyptic number.

44000100707328 is a gapful number since it is divisible by the number (48) 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 44000100707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63527643034440).

44000100707328 is an abundant number, since it is smaller than the sum of its proper divisors (83055185361552).

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

44000100707328 is a wasteful number, since it uses less digits than its factorization.

44000100707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223622 (or 223601 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 44000100707328 in words is "forty-four trillion, one hundred million, seven hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 23909 47818 71727 95636 143454 191272 199687 215181 286908 382544 399374 430362 573816 599061 765088 798748 860724 1147632 1198122 1530176 1597496 1721448 1797183 2295264 2396244 3060352 3194992 3442896 3594366 4590528 4792488 6120704 6389984 6885792 7188732 9181056 9584976 12241408 12779968 13771584 14377464 18362112 19169952 24482816 25559936 27543168 28754928 36724224 38339904 51119872 55086336 57509856 73448448 76679808 102239744 110172672 115019712 153359616 204479488 220345344 230039424 306719232 460078848 613438464 920157696 1840315392 4774316483 9548632966 14322949449 19097265932 28645898898 38194531864 42968848347 57291797796 76389063728 85937696694 114583595592 152778127456 171875393388 229167191184 305556254912 343750786776 458334382368 611112509824 687501573552 916668764736 1222225019648 1375003147104 1833337529472 2444450039296 2750006294208 3666675058944 4888900078592 5500012588416 7333350117888 11000025176832 14666700235776 22000050353664 44000100707328