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41012320340000 = 25543076679531
BaseRepresentation
bin10010101001100111011001…
…10010010000100000100000
312101012201222010020120000102
421110303230302100200200
520333421213001340000
6223120444434241532
711432020350002252
oct1124635462204040
9171181863216012
1041012320340000
1112082255708839
1247245671262a8
1319b65a31979c9
14a1b014cc9cd2
154b1c57dce3d5
hex254cecc90820

41012320340000 has 120 divisors (see below), whose sum is σ = 101225128002768. Its totient is φ = 16351489440000.

The previous prime is 41012320339919. The next prime is 41012320340003. The reversal of 41012320340000 is 4302321014.

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

It is not an unprimeable number, because it can be changed into a prime (41012320340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2800235 + ... + 9479765.

Almost surely, 241012320340000 is an apocalyptic number.

41012320340000 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 41012320340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50612564001384).

41012320340000 is an abundant number, since it is smaller than the sum of its proper divisors (60212807662768).

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

41012320340000 is an equidigital number, since it uses as much as digits as its factorization.

41012320340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679868 (or 6679845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41012320340000 its reverse (4302321014), we get a palindrome (41016622661014).

The spelling of 41012320340000 in words is "forty-one trillion, twelve billion, three hundred twenty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 307 400 500 614 625 800 1000 1228 1250 1535 2000 2456 2500 3070 4000 4912 5000 6140 7675 9824 10000 12280 15350 20000 24560 30700 38375 49120 61400 76750 122800 153500 191875 245600 307000 383750 614000 767500 1228000 1535000 3070000 6140000 6679531 13359062 26718124 33397655 53436248 66795310 106872496 133590620 166988275 213744992 267181240 333976550 534362480 667953100 834941375 1068724960 1335906200 1669882750 2050616017 2671812400 3339765500 4101232034 4174706875 5343624800 6679531000 8202464068 8349413750 10253080085 13359062000 16404928136 16698827500 20506160170 26718124000 32809856272 33397655000 41012320340 51265400425 65619712544 66795310000 82024640680 102530800850 133590620000 164049281360 205061601700 256327002125 328098562720 410123203400 512654004250 820246406800 1025308008500 1281635010625 1640492813600 2050616017000 2563270021250 4101232034000 5126540042500 8202464068000 10253080085000 20506160170000 41012320340000