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41314141200 = 24352172025203
BaseRepresentation
bin100110011110100000…
…111100010000010000
310221122020211211022210
4212132200330100100
51134102410004300
630551321232120
72661542256153
oct463640742020
9127566754283
1041314141200
1116580834852
128010032640
133b853cbcc7
141ddcd2dc9a
15111c06c050
hex99e83c410

41314141200 has 120 divisors (see below), whose sum is σ = 140127915168. Its totient is φ = 10369034240.

The previous prime is 41314141199. The next prime is 41314141237. The reversal of 41314141200 is 214141314.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992202 + ... + 1033001.

Almost surely, 241314141200 is an apocalyptic number.

41314141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41314141200 is an abundant number, since it is smaller than the sum of its proper divisors (98813773968).

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

41314141200 is a wasteful number, since it uses less digits than its factorization.

41314141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025241 (or 2025230 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41314141200 its reverse (214141314), we get a palindrome (41528282514).

The spelling of 41314141200 in words is "forty-one billion, three hundred fourteen million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 2025203 4050406 6075609 8100812 10126015 12151218 16201624 20252030 24302436 30378045 32403248 34428451 40504060 48604872 50630075 60756090 68856902 81008120 97209744 101260150 103285353 121512180 137713804 151890225 162016240 172142255 202520300 206570706 243024360 275427608 303780450 344284510 405040600 413141412 486048720 516426765 550855216 607560900 688569020 810081200 826282824 860711275 1032853530 1215121800 1377138040 1652565648 1721422550 2065707060 2430243600 2582133825 2754276080 3442845100 4131414120 5164267650 6885690200 8262828240 10328535300 13771380400 20657070600 41314141200