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41314412100 = 223521329365291
BaseRepresentation
bin100110011110100001…
…111110011001000100
310221122021100120221010
4212132201332121010
51134102442141400
630551331122220
72661544465023
oct463641763104
9127567316833
1041314412100
11165809aa335
128010143370
133b854953c0
141ddcda08ba
15111c0c2450
hex99e87e644

41314412100 has 144 divisors (see below), whose sum is σ = 133170851520. Its totient is φ = 9818995200.

The previous prime is 41314412033. The next prime is 41314412119. The reversal of 41314412100 is 121441314.

41314412100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69546 + ... + 295745.

It is an arithmetic number, because the mean of its divisors is an integer number (924797580).

Almost surely, 241314412100 is an apocalyptic number.

It is an amenable number.

41314412100 is an abundant number, since it is smaller than the sum of its proper divisors (91856439420).

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

41314412100 is a wasteful number, since it uses less digits than its factorization.

41314412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365350 (or 365343 counting only the distinct ones).

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

Adding to 41314412100 its reverse (121441314), we get a palindrome (41435853414).

The spelling of 41314412100 in words is "forty-one billion, three hundred fourteen million, four hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 365291 730582 1095873 1461164 1826455 2191746 3652910 4383492 4748783 5479365 7305820 9132275 9497566 10593439 10958730 14246349 18264550 18995132 21186878 21917460 23743915 27396825 28492698 31780317 36529100 42373756 47487830 52967195 54793650 56985396 63560634 71231745 94975660 105934390 109587300 118719575 127121268 137714707 142463490 158901585 211868780 237439150 264835975 275429414 284926980 317803170 356158725 413144121 474878300 529671950 550858828 635606340 688573535 712317450 794507925 826288242 1059343900 1377147070 1424634900 1589015850 1652576484 2065720605 2754294140 3178031700 3442867675 4131441210 6885735350 8262882420 10328603025 13771470700 20657206050 41314412100