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41404355211352 = 237341273656179
BaseRepresentation
bin10010110101000001100111…
…11000100111000001011000
312102121012212201000110121111
421122200303320213001120
520411332104413230402
6224020522002150104
711502236343301000
oct1132406370470130
9172535781013544
1041404355211352
1112213541120091
124788536952334
131a1454c582273
14a31da52a1000
154bc0503b99d7
hex25a833e27058

41404355211352 has 64 divisors (see below), whose sum is σ = 90556266240000. Its totient is φ = 17740419143328.

The previous prime is 41404355211293. The next prime is 41404355211383. The reversal of 41404355211352 is 25311255340414.

41404355211352 is digitally balanced in base 5, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496399 + ... + 13152577.

It is an arithmetic number, because the mean of its divisors is an integer number (1414941660000).

Almost surely, 241404355211352 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 41404355211352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45278133120000).

41404355211352 is an abundant number, since it is smaller than the sum of its proper divisors (49151911028648).

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

41404355211352 is a wasteful number, since it uses less digits than its factorization.

41404355211352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660333 (or 3660315 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 41404355211352 in words is "forty-one trillion, four hundred four billion, three hundred fifty-five million, two hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 4127 8254 16508 28889 33016 57778 115556 202223 231112 404446 808892 1415561 1617784 2831122 3656179 5662244 7312358 11324488 14624716 25593253 29249432 51186506 102373012 179152771 204746024 358305542 716611084 1254069397 1433222168 2508138794 5016277588 10032555176 15089050733 30178101466 60356202932 105623355131 120712405864 211246710262 422493420524 739363485917 844986841048 1478726971834 2957453943668 5175544401419 5914907887336 10351088802838 20702177605676 41404355211352