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41432624416032 = 2534350789197621
BaseRepresentation
bin10010110101110110010001…
…10111000100010100100000
312102200220211211111212011020
421122323020313010110200
520412313003322303112
6224041515045245440
711504260025464233
oct1132731067042440
9172626754455136
1041432624416032
1112224528377a63
124791b06103880
131a171061a7b05
14a334c78c941a
154bcb570aa48c
hex25aec8dc4520

41432624416032 has 96 divisors (see below), whose sum is σ = 111292710661440. Its totient is φ = 13489357808640.

The previous prime is 41432624416021. The next prime is 41432624416087. The reversal of 41432624416032 is 23061442623414.

It is a tau number, because it is divible by the number of its divisors (96).

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, 209558182 + ... + 209755802.

It is an arithmetic number, because the mean of its divisors is an integer number (1159299069390).

Almost surely, 241432624416032 is an apocalyptic number.

It is an amenable number.

41432624416032 is an abundant number, since it is smaller than the sum of its proper divisors (69860086245408).

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

41432624416032 is a wasteful number, since it uses less digits than its factorization.

41432624416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248466 (or 248458 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 41432624416032 in words is "forty-one trillion, four hundred thirty-two billion, six hundred twenty-four million, four hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 50789 101578 152367 197621 203156 304734 395242 406312 592863 609468 790484 812624 1185726 1218936 1580968 1625248 2183927 2371452 2437872 3161936 4367854 4742904 4875744 6323872 6551781 8497703 8735708 9485808 13103562 16995406 17471416 18971616 25493109 26207124 33990812 34942832 50986218 52414248 67981624 69885664 101972436 104828496 135963248 203944872 209656992 271926496 407889744 815779488 10036972969 20073945938 30110918907 40147891876 60221837814 80295783752 120443675628 160591567504 240887351256 321183135008 431589837667 481774702512 863179675334 963549405024 1294769513001 1726359350668 2589539026002 3452718701336 5179078052004 6905437402672 10358156104008 13810874805344 20716312208016 41432624416032