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41405015232300 = 22352414771622583
BaseRepresentation
bin10010110101000010110110…
…01110011000111100101100
312102121021120200222000010210
421122201123032120330230
520411334432344413200
6224021111300502420
711502261606342216
oct1132413316307454
9172537520860123
1041405015232300
111221384a743645
12478869b9aaa10
131a146262344c5
14a32028bcd5b6
154bc08d2e1650
hex25a85b398f2c

41405015232300 has 144 divisors (see below), whose sum is σ = 125331500270592. Its totient is φ = 10542844070400.

The previous prime is 41405015232283. The next prime is 41405015232311. The reversal of 41405015232300 is 323251050414.

41405015232300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35233192 + ... + 36389391.

It is an arithmetic number, because the mean of its divisors is an integer number (870357640768).

Almost surely, 241405015232300 is an apocalyptic number.

It is an amenable number.

41405015232300 is an abundant number, since it is smaller than the sum of its proper divisors (83926485038292).

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

41405015232300 is a wasteful number, since it uses less digits than its factorization.

41405015232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71622688 (or 71622681 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 41405015232300 its reverse (323251050414), we get a palindrome (41728266282714).

The spelling of 41405015232300 in words is "forty-one trillion, four hundred five billion, fifteen million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 47 50 60 75 82 94 100 123 141 150 164 188 205 235 246 282 300 410 470 492 564 615 705 820 940 1025 1175 1230 1410 1927 2050 2350 2460 2820 3075 3525 3854 4100 4700 5781 6150 7050 7708 9635 11562 12300 14100 19270 23124 28905 38540 48175 57810 96350 115620 144525 192700 289050 578100 71622583 143245166 214867749 286490332 358112915 429735498 716225830 859470996 1074338745 1432451660 1790564575 2148677490 2936525903 3366261401 3581129150 4297354980 5371693725 5873051806 6732522802 7162258300 8809577709 10098784203 10743387450 11746103612 13465045604 14682629515 16831307005 17619155418 20197568406 21486774900 29365259030 33662614010 35238310836 40395136812 44047888545 50493921015 58730518060 67325228020 73413147575 84156535025 88095777090 100987842030 138016717441 146826295150 168313070050 176191554180 201975684060 220239442725 252469605075 276033434882 293652590300 336626140100 414050152323 440478885450 504939210150 552066869764 690083587205 828100304646 880957770900 1009878420300 1380167174410 1656200609292 2070250761615 2760334348820 3450417936025 4140501523230 6900835872050 8281003046460 10351253808075 13801671744100 20702507616150 41405015232300