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40442121001101 = 31031991178355817
BaseRepresentation
bin10010011001000001010100…
…10000011001100010001101
312022012020011221120221100010
421030200222100121202031
520300100430434013401
6222002504235423433
711342563313411151
oct1114405220314215
9168166157527303
1040442121001101
1111982452a87a86
124651b545b4b79
1319748a251a1a1
149db5a2801061
154a1ed4411ed6
hex24c82a41988d

40442121001101 has 32 divisors (see below), whose sum is σ = 54725574758400. Its totient is φ = 26562753131904.

The previous prime is 40442121001039. The next prime is 40442121001103. The reversal of 40442121001101 is 10110012124404.

It is not a de Polignac number, because 40442121001101 - 217 = 40442120870029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442121001103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 724520545 + ... + 724576361.

It is an arithmetic number, because the mean of its divisors is an integer number (1710174211200).

Almost surely, 240442121001101 is an apocalyptic number.

It is an amenable number.

40442121001101 is a deficient number, since it is larger than the sum of its proper divisors (14283453757299).

40442121001101 is a wasteful number, since it uses less digits than its factorization.

40442121001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67905.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 40442121001101 its reverse (10110012124404), we get a palindrome (50552133125505).

The spelling of 40442121001101 in words is "forty trillion, four hundred forty-two billion, one hundred twenty-one million, one thousand, one hundred one".

Divisors: 1 3 103 199 309 597 11783 20497 35349 55817 61491 167451 1213649 2344817 3640947 5749151 7034451 11107583 17247453 33322749 241516151 657691711 724548453 1144081049 1973075133 3432243147 67742246233 130880650489 203226738699 392641951467 13480707000367 40442121001101