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41053414104 = 23321722385781
BaseRepresentation
bin100110001110111110…
…010110001011011000
310220222002020111222200
4212032332112023120
51133034133222404
630505405050200
72652225155643
oct461676261330
9126862214880
1041053414104
111645764470a
127b58856960
133b433a1b11
141db6460a5a
151104219839
hex98ef962d8

41053414104 has 144 divisors (see below), whose sum is σ = 123248146320. Its totient is φ = 12319380480.

The previous prime is 41053414097. The next prime is 41053414139. The reversal of 41053414104 is 40141435014.

41053414104 is a `hidden beast` number, since 4 + 10 + 534 + 14 + 104 = 666.

It is a super-2 number, since 2×410534141042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435694 + ... + 521474.

It is an arithmetic number, because the mean of its divisors is an integer number (855889905).

Almost surely, 241053414104 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 41053414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61624073160).

41053414104 is an abundant number, since it is smaller than the sum of its proper divisors (82194732216).

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

41053414104 is a wasteful number, since it uses less digits than its factorization.

41053414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85850 (or 85826 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41053414104 its reverse (40141435014), we get a palindrome (81194849118).

The spelling of 41053414104 in words is "forty-one billion, fifty-three million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 289 306 391 408 414 552 578 612 782 828 867 1156 1173 1224 1564 1656 1734 2312 2346 2601 3128 3468 3519 4692 5202 6647 6936 7038 9384 10404 13294 14076 19941 20808 26588 28152 39882 53176 59823 79764 85781 119646 159528 171562 239292 257343 343124 478584 514686 686248 772029 1029372 1458277 1544058 1972963 2058744 2916554 3088116 3945926 4374831 5833108 5918889 6176232 7891852 8749662 11666216 11837778 13124493 15783704 17499324 17756667 23675556 24790709 26248986 33540371 34998648 35513334 47351112 49581418 52497972 67080742 71026668 74372127 99162836 100621113 104995944 134161484 142053336 148744254 198325672 201242226 223116381 268322968 297488508 301863339 402484452 446232762 570186307 594977016 603726678 804968904 892465524 1140372614 1207453356 1710558921 1784931048 2280745228 2414906712 3421117842 4561490456 5131676763 6842235684 10263353526 13684471368 20526707052 41053414104