Search a number
-
+
41869038640 = 24511138234447
BaseRepresentation
bin100110111111100101…
…101101010000110000
311000001220222112111211
4212333211231100300
51141221433214030
631122342445504
73011360646022
oct467745552060
9130056875454
1041869038640
1116835a87480
128145a33894
133c433656a0
1420528d6012
151150b2b12a
hex9bf96d430

41869038640 has 160 divisors (see below), whose sum is σ = 114528669696. Its totient is φ = 14033710080.

The previous prime is 41869038593. The next prime is 41869038671. The reversal of 41869038640 is 4683096814.

It is a super-3 number, since 3×418690386403 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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, 9412897 + ... + 9417343.

Almost surely, 241869038640 is an apocalyptic number.

41869038640 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 41869038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57264334848).

41869038640 is an abundant number, since it is smaller than the sum of its proper divisors (72659631056).

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

41869038640 is a wasteful number, since it uses less digits than its factorization.

41869038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 41869038640 in words is "forty-one billion, eight hundred sixty-nine million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 823 880 1040 1144 1430 1646 2288 2860 3292 4115 4447 5720 6584 8230 8894 9053 10699 11440 13168 16460 17788 18106 21398 22235 32920 35576 36212 42796 44470 45265 48917 53495 57811 65840 71152 72424 85592 88940 90530 97834 106990 115622 117689 144848 171184 177880 181060 195668 213980 231244 235378 244585 289055 355760 362120 391336 427960 462488 470756 489170 578110 588445 635921 724240 782672 855920 924976 941512 978340 1156220 1176890 1271842 1883024 1956680 2312440 2353780 2543684 3179605 3659881 3913360 4624880 4707560 5087368 6359210 7319762 9415120 10174736 12718420 14639524 18299405 25436840 29279048 36598810 40258691 47578453 50873680 58558096 73197620 80517382 95156906 146395240 161034764 190313812 201293455 237892265 292790480 322069528 380627624 402586910 475784530 523362983 644139056 761255248 805173820 951569060 1046725966 1610347640 1903138120 2093451932 2616814915 3220695280 3806276240 4186903864 5233629830 8373807728 10467259660 20934519320 41869038640