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41214452000 = 255329355297
BaseRepresentation
bin100110011000100100…
…101010000100100000
310221101022021002110012
4212120210222010200
51133401344431000
630533400424052
72656222030121
oct463044520440
9127338232405
1041214452000
111652a535887
127ba2778028
133b6a866b07
141dcd9c0048
151113429735
hex99892a120

41214452000 has 96 divisors (see below), whose sum is σ = 104756062320. Its totient is φ = 15917260800.

The previous prime is 41214451973. The next prime is 41214452003. The reversal of 41214452000 is 25441214.

It can be written as a sum of positive squares in 8 ways, for example, as 11988498064 + 29225953936 = 109492^2 + 170956^2 .

It is not an unprimeable number, because it can be changed into a prime (41214452003) 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, 61649 + ... + 293648.

Almost surely, 241214452000 is an apocalyptic number.

41214452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214452000 is an abundant number, since it is smaller than the sum of its proper divisors (63541610320).

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

41214452000 is a wasteful number, since it uses less digits than its factorization.

41214452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355351 (or 355333 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 41214452000 its reverse (25441214), we get a palindrome (41239893214).

The spelling of 41214452000 in words is "forty-one billion, two hundred fourteen million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 355297 710594 1421188 1776485 2842376 3552970 5684752 7105940 8882425 10303613 11369504 14211880 17764850 20607226 28423760 35529700 41214452 44412125 51518065 56847520 71059400 82428904 88824250 103036130 142118800 164857808 177648500 206072260 257590325 284237600 329715616 355297000 412144520 515180650 710594000 824289040 1030361300 1287951625 1421188000 1648578080 2060722600 2575903250 4121445200 5151806500 8242890400 10303613000 20607226000 41214452000