Search a number
-
+
41340410102000 = 2453191129963601
BaseRepresentation
bin10010110011001010100000…
…11101011000000011110000
312102101002211021000100020002
421121211100131120003300
520404310124441231000
6223531304444405132
711464513620653522
oct1131452035300360
9172332737010202
1041340410102000
111219940783aa79
12477806b8467a8
131a0b4cb6b1b59
14a2cc5a8a5a12
154ba55b6358d5
hex2599507580f0

41340410102000 has 160 divisors (see below), whose sum is σ = 105315531547200. Its totient is φ = 15651947520000.

The previous prime is 41340410101931. The next prime is 41340410102003. The reversal of 41340410102000 is 20101404314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41340410102003) by changing a digit.

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, 42420200 + ... + 43383800.

It is an arithmetic number, because the mean of its divisors is an integer number (658222072170).

Almost surely, 241340410102000 is an apocalyptic number.

41340410102000 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 41340410102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52657765773600).

41340410102000 is an abundant number, since it is smaller than the sum of its proper divisors (63975121445200).

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

41340410102000 is a wasteful number, since it uses less digits than its factorization.

41340410102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964772 (or 964756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41340410102000 its reverse (20101404314), we get a palindrome (41360511506314).

The spelling of 41340410102000 in words is "forty-one trillion, three hundred forty billion, four hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1129 1520 1900 2000 2258 2375 3800 4516 4750 5645 7600 9032 9500 11290 18064 19000 21451 22580 28225 38000 42902 45160 56450 85804 90320 107255 112900 141125 171608 214510 225800 282250 343216 429020 451600 536275 564500 858040 963601 1072550 1129000 1716080 1927202 2145100 2258000 2681375 3854404 4290200 4818005 5362750 7708808 8580400 9636010 10725500 15417616 18308419 19272020 21451000 24090025 36616838 38544040 42902000 48180050 73233676 77088080 91542095 96360100 120450125 146467352 183084190 192720200 240900250 292934704 366168380 385440400 457710475 481800500 732336760 915420950 963601000 1087905529 1464673520 1830841900 1927202000 2175811058 2288552375 3661683800 4351622116 4577104750 5439527645 7323367600 8703244232 9154209500 10879055290 17406488464 18308419000 20670205051 21758110580 27197638225 36616838000 41340410102 43516221160 54395276450 82680820204 87032442320 103351025255 108790552900 135988191125 165361640408 206702050510 217581105800 271976382250 330723280816 413404101020 435162211600 516755126275 543952764500 826808202040 1033510252550 1087905529000 1653616404080 2067020505100 2175811058000 2583775631375 4134041010200 5167551262750 8268082020400 10335102525500 20670205051000 41340410102000