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141120313144009 = 29401122921134673
BaseRepresentation
bin100000000101100100100010…
…001000101011001011001001
3200111122222012021001221101221
4200011210202020223023021
5121444103400131102014
61220045435445442041
741503414625632603
oct4005444210531311
9614588167057357
10141120313144009
1140a68874852a61
12139b208b410321
136098785a13cc4
1426bc38c4b2173
15114ace3461b24
hex80592222b2c9

141120313144009 has 32 divisors (see below), whose sum is σ = 146570345056800. Its totient is φ = 135710402150400.

The previous prime is 141120313143977. The next prime is 141120313144021. The reversal of 141120313144009 is 900441313021141.

It can be written as a sum of positive squares in 16 ways, for example, as 6170270904009 + 134950042240000 = 2484003^2 + 11616800^2 .

It is a cyclic number.

It is not a de Polignac number, because 141120313144009 - 25 = 141120313143977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141120313144049) 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, 30199080297 + ... + 30199084969.

It is an arithmetic number, because the mean of its divisors is an integer number (4580323283025).

Almost surely, 2141120313144009 is an apocalyptic number.

It is an amenable number.

141120313144009 is a deficient number, since it is larger than the sum of its proper divisors (5450031912791).

141120313144009 is a wasteful number, since it uses less digits than its factorization.

141120313144009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 141120313144009 in words is "one hundred forty-one trillion, one hundred twenty billion, three hundred thirteen million, one hundred forty-four thousand, nine".

Divisors: 1 29 401 1229 2113 4673 11629 35641 61277 135517 492829 847313 1873873 2596877 5743117 9874049 14292041 24572077 54342317 75309433 166550393 286347421 1041347677 2302989917 3959493649 12135206221 30199082633 66786707593 114825315821 351920980409 4866217694621 141120313144009