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40442766105 = 35723113148199
BaseRepresentation
bin100101101010100100…
…111010001100011001
310212101112012101102010
4211222210322030121
51130311322003410
630325032500133
72631131561040
oct455244721431
9125345171363
1040442766105
1116173983845
127a0824a649
133a76a18741
141d59305557
1510ba7e6c20
hex96a93a319

40442766105 has 64 divisors (see below), whose sum is σ = 77851238400. Its totient is φ = 17527673856.

The previous prime is 40442766083. The next prime is 40442766137. The reversal of 40442766105 is 50166724404.

It is not a de Polignac number, because 40442766105 - 26 = 40442766041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198796 + ... + 346994.

It is an arithmetic number, because the mean of its divisors is an integer number (1216425600).

Almost surely, 240442766105 is an apocalyptic number.

It is an amenable number.

40442766105 is a deficient number, since it is larger than the sum of its proper divisors (37408472295).

40442766105 is a wasteful number, since it uses less digits than its factorization.

40442766105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148350.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 40442766105 in words is "forty billion, four hundred forty-two million, seven hundred sixty-six thousand, one hundred five".

Divisors: 1 3 5 7 15 21 23 35 69 105 113 115 161 339 345 483 565 791 805 1695 2373 2415 2599 3955 7797 11865 12995 18193 38985 54579 90965 148199 272895 444597 740995 1037393 2222985 3112179 3408577 5186965 10225731 15560895 16746487 17042885 23860039 50239461 51128655 71580117 83732435 117225409 119300195 251197305 351676227 357900585 385169201 586127045 1155507603 1758381135 1925846005 2696184407 5777538015 8088553221 13480922035 40442766105