Search a number
-
+
41404034344100 = 2252311011237106903
BaseRepresentation
bin10010110101000001000001…
…10000100110010010100100
312102121012001100020201111012
421122200200300212102210
520411330430243002400
6224020430101001352
711502225366050651
oct1132404060462244
9172535040221435
1041404034344100
1112213396a9383a
1247884673b3258
131a144cac5939c
14a31d74818c28
154bc032137d35
hex25a820c264a4

41404034344100 has 144 divisors (see below), whose sum is σ = 93739899595776. Its totient is φ = 15855704640000.

The previous prime is 41404034344067. The next prime is 41404034344147. The reversal of 41404034344100 is 144343040414.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387251249 + ... + 387358151.

Almost surely, 241404034344100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41404034344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46869949797888).

41404034344100 is an abundant number, since it is smaller than the sum of its proper divisors (52335865251676).

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

41404034344100 is a wasteful number, since it uses less digits than its factorization.

41404034344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108286 (or 108279 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41404034344100 its reverse (144343040414), we get a palindrome (41548377384514).

The spelling of 41404034344100 in words is "forty-one trillion, four hundred four billion, thirty-four million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 404 505 620 775 1010 1237 1550 2020 2474 2525 3100 3131 4948 5050 6185 6262 10100 12370 12524 15655 24740 30925 31310 38347 61850 62620 76694 78275 106903 123700 124937 153388 156550 191735 213806 249874 313100 383470 427612 499748 534515 624685 766940 958675 1069030 1249370 1917350 2138060 2498740 2672575 3123425 3313993 3834700 3873047 5345150 6246850 6627986 7746094 10690300 10797203 12493700 13255972 15492188 16569965 19365235 21594406 33139930 38730470 43188812 53986015 66279860 77460940 82849825 96826175 107972030 132239011 165699650 193652350 215944060 264478022 269930075 331399300 334713293 387304700 528956044 539860150 661195055 669426586 1079720300 1322390110 1338853172 1673566465 2644780220 3305975275 3347132930 4099409341 6611950550 6694265860 8198818682 8367832325 13223901100 13356140111 16397637364 16735664650 20497046705 26712280222 33471329300 40994093410 53424560444 66780700555 81988186820 102485233525 133561401110 204970467050 267122802220 333903502775 409940934100 414040343441 667807005550 828080686882 1335614011100 1656161373764 2070201717205 4140403434410 8280806868820 10351008586025 20702017172050 41404034344100