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41324011440 = 24351371256813
BaseRepresentation
bin100110011111000110…
…100101111110110000
310221122221102021202020
4212133012211332300
51134112421331230
630552312551440
72662022205315
oct463706457660
9127587367666
1041324011440
1116586366478
1280133b2580
133b8747679a
14200037cd0c
15111cd6b810
hex99f1a5fb0

41324011440 has 80 divisors (see below), whose sum is σ = 129039607008. Its totient is φ = 10939291648.

The previous prime is 41324011433. The next prime is 41324011441. The reversal of 41324011440 is 4411042314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41324011440.

It is not an unprimeable number, because it can be changed into a prime (41324011441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595527 + ... + 661286.

Almost surely, 241324011440 is an apocalyptic number.

41324011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41324011440 is an abundant number, since it is smaller than the sum of its proper divisors (87715595568).

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

41324011440 is a wasteful number, since it uses less digits than its factorization.

41324011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256966 (or 1256960 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41324011440 its reverse (4411042314), we get a palindrome (45735053754).

The spelling of 41324011440 in words is "forty-one billion, three hundred twenty-four million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 1256813 2513626 3770439 5027252 6284065 7540878 10054504 12568130 15081756 18852195 20109008 25136260 30163512 37704390 50272520 60327024 75408780 100545040 150817560 172183381 301635120 344366762 516550143 688733524 860916905 1033100286 1377467048 1721833810 2066200572 2582750715 2754934096 3443667620 4132401144 5165501430 6887335240 8264802288 10331002860 13774670480 20662005720 41324011440