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41301203316704 = 2531733531615673
BaseRepresentation
bin10010110010000001011111…
…00011010110111111100000
312102020100121212112021201222
421121000233203112333200
520403134331022113304
6223501302203114212
711461625214536162
oct1131005743267740
9172210555467658
1041301203316704
1112183818608981
124770549512968
131a078c0a77c06
14a2adbb7b8932
154b95145d54be
hex25902f8d6fe0

41301203316704 has 96 divisors (see below), whose sum is σ = 85325579345664. Its totient is φ = 19654843760640.

The previous prime is 41301203316689. The next prime is 41301203316739. The reversal of 41301203316704 is 40761330210314.

41301203316704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24755012 + ... + 26370684.

It is an arithmetic number, because the mean of its divisors is an integer number (888808118184).

Almost surely, 241301203316704 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 41301203316704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42662789672832).

41301203316704 is an abundant number, since it is smaller than the sum of its proper divisors (44024376028960).

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

41301203316704 is a wasteful number, since it uses less digits than its factorization.

41301203316704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616140 (or 1616132 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 41301203316704 in words is "forty-one trillion, three hundred one billion, two hundred three million, three hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 353 496 584 706 992 1168 1412 2263 2336 2824 4526 5648 9052 10943 11296 18104 21886 25769 36208 43772 51538 72416 87544 103076 175088 206152 350176 412304 798839 824608 1597678 1615673 3195356 3231346 6390712 6462692 12781424 12925384 25562848 25850768 50085863 51701536 100171726 117944129 200343452 235888258 400686904 471776516 570332569 801373808 943553032 1140665138 1602747616 1887106064 2281330276 3656267999 3774212128 4562660552 7312535998 9125321104 14625071996 17680309639 18250642208 29250143992 35360619278 41634277537 58500287984 70721238556 83268555074 117000575968 141442477112 166537110148 282884954224 333074220296 565769908448 666148440592 1290662603647 1332296881184 2581325207294 5162650414588 10325300829176 20650601658352 41301203316704