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41263420155328 = 2671071237695879
BaseRepresentation
bin10010110000111011000111…
…00000000010010111000000
312102002202002200211211010201
421120131203200002113000
520402024441024432303
6223432053054534544
711456120006135560
oct1130354340022700
9172082080754121
1041263420155328
1112169799a40578
124765163b07454
131a0417c0714a7
14a292357ccda0
154b855254481d
hex2587638025c0

41263420155328 has 112 divisors (see below), whose sum is σ = 94530610552320. Its totient is φ = 17504861193216.

The previous prime is 41263420155301. The next prime is 41263420155341. The reversal of 41263420155328 is 82355102436214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58948893 + ... + 59644771.

Almost surely, 241263420155328 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 41263420155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47265305276160).

41263420155328 is an abundant number, since it is smaller than the sum of its proper divisors (53267190396992).

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

41263420155328 is a wasteful number, since it uses less digits than its factorization.

41263420155328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697242 (or 697232 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 41263420155328 in words is "forty-one trillion, two hundred sixty-three billion, four hundred twenty million, one hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1237 1498 1712 2474 2996 3424 4948 5992 6848 8659 9896 11984 17318 19792 23968 34636 39584 47936 69272 79168 132359 138544 264718 277088 529436 554176 695879 926513 1058872 1391758 1853026 2117744 2783516 3706052 4235488 4871153 5567032 7412104 8470976 9742306 11134064 14824208 19484612 22268128 29648416 38969224 44536256 59296832 74459053 77938448 148918106 155876896 297836212 311753792 521213371 595672424 860802323 1042426742 1191344848 1721604646 2084853484 2382689696 3443209292 4169706968 4765379392 6025616261 6886418584 8339413936 12051232522 13772837168 16678827872 24102465044 27545674336 33357655744 48204930088 55091348672 92105848561 96409860176 184211697122 192819720352 368423394244 385639440704 644740939927 736846788488 1289481879854 1473693576976 2578963759708 2947387153952 5157927519416 5894774307904 10315855038832 20631710077664 41263420155328