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19841107140 = 2234532293793
BaseRepresentation
bin10010011110100111…
…110100010011000100
31220012202112200020000
4102132213310103010
5311113310412030
613040451441300
71301452425261
oct223647642304
956182480200
1019841107140
118461873508
123a188b6230
131b427b40aa
14d63164268
157b1d31860
hex49e9f44c4

19841107140 has 120 divisors (see below), whose sum is σ = 62277978840. Its totient is φ = 5287928832.

The previous prime is 19841107129. The next prime is 19841107141. The reversal of 19841107140 is 4170114891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 19798178436 = 6552^2 + 140706^2 .

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 = 19841107095 and 19841107104.

It is not an unprimeable number, because it can be changed into a prime (19841107141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5229084 + ... + 5232876.

It is an arithmetic number, because the mean of its divisors is an integer number (518983157).

Almost surely, 219841107140 is an apocalyptic number.

19841107140 is a gapful number since it is divisible by the number (10) 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 19841107140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138989420).

19841107140 is an abundant number, since it is smaller than the sum of its proper divisors (42436871700).

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

19841107140 is a wasteful number, since it uses less digits than its factorization.

19841107140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 19841107140 in words is "nineteen billion, eight hundred forty-one million, one hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3229 3793 6458 7586 9687 11379 12916 15172 16145 18965 19374 22758 29061 32290 34137 37930 38748 45516 48435 56895 58122 64580 68274 75860 87183 96870 102411 113790 116244 136548 145305 170685 174366 193740 204822 227580 261549 290610 307233 341370 348732 409644 435915 512055 523098 581220 614466 682740 871830 1024110 1046196 1228932 1307745 1536165 1743660 2048220 2615490 3072330 5230980 6144660 12247597 24495194 36742791 48990388 61237985 73485582 110228373 122475970 146971164 183713955 220456746 244951940 330685119 367427910 440913492 551141865 661370238 734855820 992055357 1102283730 1322740476 1653425595 1984110714 2204567460 3306851190 3968221428 4960276785 6613702380 9920553570 19841107140