Search a number
-
+
41409212160 = 283533132579
BaseRepresentation
bin100110100100001011…
…100110111100000000
310221212212201221011110
4212210023212330000
51134301224242120
631004555043320
72664105332031
oct464413467400
9127785657143
1041409212160
111661a469a98
128037a40540
133b9c008104
14200b7daa88
15112559b2e0
hex9a42e6f00

41409212160 has 144 divisors (see below), whose sum is σ = 132654291840. Its totient is φ = 11008757760.

The previous prime is 41409212111. The next prime is 41409212179. The reversal of 41409212160 is 6121290414.

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 15 ways as a sum of consecutive naturals, for example, 1254751 + ... + 1287329.

It is an arithmetic number, because the mean of its divisors is an integer number (921210360).

Almost surely, 241409212160 is an apocalyptic number.

41409212160 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 41409212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66327145920).

41409212160 is an abundant number, since it is smaller than the sum of its proper divisors (91245079680).

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

41409212160 is a wasteful number, since it uses less digits than its factorization.

41409212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32934 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 41409212160 in words is "forty-one billion, four hundred nine million, two hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 640 662 768 960 993 1280 1324 1655 1920 1986 2648 3310 3840 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 21184 26480 31776 32579 39720 42368 52960 63552 65158 79440 84736 97737 105920 127104 130316 158880 162895 195474 211840 254208 260632 317760 325790 390948 423680 488685 521264 635520 651580 781896 977370 1042528 1271040 1303160 1563792 1954740 2085056 2606320 3127584 3909480 4170112 5212640 6255168 7818960 8340224 10425280 10783649 12510336 15637920 20850560 21567298 25020672 31275840 32350947 41701120 43134596 53918245 62551680 64701894 86269192 107836490 125103360 129403788 161754735 172538384 215672980 258807576 323509470 345076768 431345960 517615152 647018940 690153536 862691920 1035230304 1294037880 1380307072 1725383840 2070460608 2588075760 2760614144 3450767680 4140921216 5176151520 6901535360 8281842432 10352303040 13803070720 20704606080 41409212160