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41422018576 = 24172412732
BaseRepresentation
bin100110100100111100…
…011101100000010000
310221220202211120021011
4212210330131200100
51134313014043301
631010133340304
72664322230361
oct464474354020
9127822746234
1041422018576
1116626716704
128040197694
133ba1870183
14200d3b1b68
15112677aa51
hex9a4f1d810

41422018576 has 135 divisors (see below), whose sum is σ = 88597264773. Its totient is φ = 18756771840.

The previous prime is 41422018471. The next prime is 41422018577. The reversal of 41422018576 is 67581022414.

The square root of 41422018576 is 203524.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 28806236176 + 12615782400 = 169724^2 + 112320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41422018577) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 567424876 + ... + 567424948.

Almost surely, 241422018576 is an apocalyptic number.

41422018576 is the 203524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41422018576

41422018576 is an abundant number, since it is smaller than the sum of its proper divisors (47175246197).

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

41422018576 is an equidigital number, since it uses as much as digits as its factorization.

41422018576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 41422018576 in words is "forty-one billion, four hundred twenty-two million, eighteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 41 68 73 82 136 146 164 272 289 292 328 578 584 656 697 1156 1168 1241 1394 1681 2312 2482 2788 2993 3362 4624 4964 5329 5576 5986 6724 9928 10658 11152 11849 11972 13448 19856 21097 21316 23698 23944 26896 28577 42194 42632 47396 47888 50881 57154 84388 85264 90593 94792 101762 114308 122713 168776 181186 189584 203524 218489 228616 245426 337552 362372 407048 436978 457232 485809 490852 724744 814096 864977 873956 971618 981704 1449488 1540081 1729954 1747912 1943236 1963408 2086121 3080162 3459908 3495824 3714313 3886472 4172242 6160324 6919816 7428626 7772944 8344484 8958049 12320648 13839632 14857252 16688968 17916098 24641296 29714504 33377936 35464057 35832196 59429008 63143321 70928114 71664392 126286642 141856228 143328784 152286833 252573284 283712456 304573666 505146568 567424912 609147332 1010293136 1218294664 2436589328 2588876161 5177752322 10355504644 20711009288 41422018576