Search a number
-
+
41334211123000 = 2353121733964019
BaseRepresentation
bin10010110010111110111101…
…11110001001011100111000
312102100111211020112120200021
421121133132332021130320
520404204431021414000
6223524401403020224
711464204166342455
oct1131373676113470
9172314736476607
1041334211123000
1112196816664334
124776a1b80a674
131a0aa51328743
14a2c82d49c82c
154ba2e72e611a
hex2597def89738

41334211123000 has 64 divisors (see below), whose sum is σ = 96801532682400. Its totient is φ = 16520098355200.

The previous prime is 41334211122991. The next prime is 41334211123001. The reversal of 41334211123000 is 32111243314.

It is a super-2 number, since 2×413342111230002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41334211123001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15765010 + ... + 18199009.

Almost surely, 241334211123000 is an apocalyptic number.

41334211123000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41334211123000 is an abundant number, since it is smaller than the sum of its proper divisors (55467321559400).

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

41334211123000 is a wasteful number, since it uses less digits than its factorization.

41334211123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33965257 (or 33965243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 41334211123000 its reverse (32111243314), we get a palindrome (41366322366314).

The spelling of 41334211123000 in words is "forty-one trillion, three hundred thirty-four billion, two hundred eleven million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1217 2434 4868 6085 9736 12170 24340 30425 48680 60850 121700 152125 243400 304250 608500 1217000 33964019 67928038 135856076 169820095 271712152 339640190 679280380 849100475 1358560760 1698200950 3396401900 4245502375 6792803800 8491004750 16982009500 33964019000 41334211123 82668422246 165336844492 206671055615 330673688984 413342111230 826684222460 1033355278075 1653368444920 2066710556150 4133421112300 5166776390375 8266842224600 10333552780750 20667105561500 41334211123000