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10140414431241 = 323674058354049
BaseRepresentation
bin1001001110001111111111…
…0011001101000000001001
31022220102011220202102100210
42103203333303031000021
52312120032043244431
633322235253351333
72064422631332043
oct223437763150011
938812156672323
1010140414431241
11325a58664a516
121179344338549
135873108425b3
14270b277daa93
15128b97228d46
hex938ffccd009

10140414431241 has 32 divisors (see below), whose sum is σ = 14319593625600. Its totient is φ = 6369563718144.

The previous prime is 10140414431227. The next prime is 10140414431249. The reversal of 10140414431241 is 14213441404101.

10140414431241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10140414431241 - 217 = 10140414300169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140414431199 and 10140414431208.

It is not an unprimeable number, because it can be changed into a prime (10140414431249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187588185 + ... + 187642233.

It is an arithmetic number, because the mean of its divisors is an integer number (447487300800).

Almost surely, 210140414431241 is an apocalyptic number.

It is an amenable number.

10140414431241 is a deficient number, since it is larger than the sum of its proper divisors (4179179194359).

10140414431241 is a wasteful number, since it uses less digits than its factorization.

10140414431241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94725.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10140414431241 its reverse (14213441404101), we get a palindrome (24353855835342).

The spelling of 10140414431241 in words is "ten trillion, one hundred forty billion, four hundred fourteen million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 23 67 69 201 1541 4623 40583 54049 121749 162147 933409 1243127 2719061 2800227 3621283 3729381 8157183 10863849 62538403 83289509 187615209 249868527 2193470567 6580411701 50449823041 146962527989 151349469123 440887583967 3380138143747 10140414431241