Search a number
-
+
41022310310000 = 245412373331547
BaseRepresentation
bin10010101001111010000000…
…01110111110000001110000
312101020200202100010121120022
421110331000032332001300
520334102142414410000
6223125220022103012
711432523043231235
oct1124750016760160
9171220670117508
1041022310310000
11120865117a2098
12472649487aa68
1319b7505a82a66
14a1b6c199b78c
154b213ee5a585
hex254f403be070

41022310310000 has 100 divisors (see below), whose sum is σ = 99327442162872. Its totient is φ = 16407548448000.

The previous prime is 41022310309987. The next prime is 41022310310041. The reversal of 41022310310000 is 1301322014.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×410223103100002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123564227 + ... + 123895773.

Almost surely, 241022310310000 is an apocalyptic number.

41022310310000 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 41022310310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49663721081436).

41022310310000 is an abundant number, since it is smaller than the sum of its proper divisors (58305131852872).

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

41022310310000 is a wasteful number, since it uses less digits than its factorization.

41022310310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343948 (or 343927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 41022310310000 its reverse (1301322014), we get a palindrome (41023611632014).

The spelling of 41022310310000 in words is "forty-one trillion, twenty-two billion, three hundred ten million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12373 24746 49492 61865 98984 123730 197968 247460 309325 331547 494920 618650 663094 989840 1237300 1326188 1546625 1657735 2474600 2652376 3093250 3315470 4949200 5304752 6186500 6630940 7733125 8288675 12373000 13261880 15466250 16577350 24746000 26523760 30932500 33154700 41443375 61865000 66309400 82886750 123730000 132618800 165773500 207216875 331547000 414433750 663094000 828867500 1657735000 3315470000 4102231031 8204462062 16408924124 20511155155 32817848248 41022310310 65635696496 82044620620 102555775775 164089241240 205111551550 328178482480 410223103100 512778878875 820446206200 1025557757750 1640892412400 2051115515500 2563894394375 4102231031000 5127788788750 8204462062000 10255577577500 20511155155000 41022310310000