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41306408512020 = 223255335271227619
BaseRepresentation
bin10010110010001011001011…
…10011100110101000010100
312102020212001122000121100200
421121011211303212220110
520403231011034341040
6223503522504340500
711462201211136551
oct1131054563465024
9172225048017320
1041306408512020
1112185a49827193
124771560774730
131a0824028c742
14a2b352c11a28
154b971b570630
hex259165ce6a14

41306408512020 has 144 divisors (see below), whose sum is σ = 127696482426240. Its totient is φ = 10804138345728.

The previous prime is 41306408512009. The next prime is 41306408512069. The reversal of 41306408512020 is 2021580460314.

It is a happy number.

41306408512020 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 640 + 8 + 5 + 1 + 2 + 0 + 2 + 0 = 666.

It is a super-3 number, since 3×413064085120203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 33033771 + ... + 34261389.

It is an arithmetic number, because the mean of its divisors is an integer number (886781127960).

Almost surely, 241306408512020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41306408512020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63848241213120).

41306408512020 is an abundant number, since it is smaller than the sum of its proper divisors (86390073914220).

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

41306408512020 is a wasteful number, since it uses less digits than its factorization.

41306408512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231214 (or 1231209 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 41306408512020 its reverse (2021580460314), we get a palindrome (43327988972334).

The spelling of 41306408512020 in words is "forty-one trillion, three hundred six billion, four hundred eight million, five hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3527 4770 7054 9540 10581 14108 17635 21162 31743 35270 42324 52905 63486 70540 105810 126972 158715 186931 211620 317430 373862 560793 634860 747724 934655 1121586 1227619 1682379 1869310 2243172 2455238 2803965 3364758 3682857 3738620 4910476 5607930 6138095 6729516 7365714 8411895 11048571 11215860 12276190 14731428 16823790 18414285 22097142 24552380 33647580 36828570 44194284 55242855 65063807 73657140 110485710 130127614 195191421 220971420 260255228 325319035 390382842 585574263 650638070 780765684 975957105 1171148526 1301276140 1951914210 2342297052 2927871315 3903828420 4329812213 5855742630 8659624426 11711485260 12989436639 17319248852 21649061065 25978873278 38968309917 43298122130 51957746556 64947183195 77936619834 86596244260 129894366390 155873239668 194841549585 229480047289 259788732780 389683099170 458960094578 688440141867 779366198340 917920189156 1147400236445 1376880283734 2065320425601 2294800472890 2753760567468 3442200709335 4130640851202 4589600945780 6884401418670 8261281702404 10326602128005 13768802837340 20653204256010 41306408512020