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10141430014233 = 327619727205523
BaseRepresentation
bin1001001110010011110001…
…0101010110000100011001
31022220111210200202101022200
42103210330111112010121
52312124122040423413
633322524133040413
72064460042544310
oct223447425260431
938814720671280
1010141430014233
11325aa57947001
121179588486109
1358744307758b
14270bc2643277
15128c06487573
hex9393c556119

10141430014233 has 48 divisors (see below), whose sum is σ = 17191279437696. Its totient is φ = 5641337041920.

The previous prime is 10141430014187. The next prime is 10141430014249. The reversal of 10141430014233 is 33241003414101.

10141430014233 is a `hidden beast` number, since 1 + 0 + 1 + 414 + 3 + 0 + 0 + 14 + 233 = 666.

It is not a de Polignac number, because 10141430014233 - 217 = 10141429883161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10141430014197 and 10141430014206.

It is not an unprimeable number, because it can be changed into a prime (10141430014253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13229991 + ... + 13975532.

It is an arithmetic number, because the mean of its divisors is an integer number (358151654952).

Almost surely, 210141430014233 is an apocalyptic number.

It is an amenable number.

10141430014233 is a deficient number, since it is larger than the sum of its proper divisors (7049849423463).

10141430014233 is a wasteful number, since it uses less digits than its factorization.

10141430014233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27205694 (or 27205691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10141430014233 its reverse (33241003414101), we get a palindrome (43382433428334).

The spelling of 10141430014233 in words is "ten trillion, one hundred forty-one billion, four hundred thirty million, fourteen thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 61 63 97 183 291 427 549 679 873 1281 2037 3843 5917 6111 17751 41419 53253 124257 372771 27205523 81616569 190438661 244849707 571315983 1659536903 1713947949 2638935731 4978610709 7916807193 11616758321 14935832127 18472550117 23750421579 34850274963 55417650351 104550824889 160975079591 166252951053 482925238773 1126825557137 1448775716319 3380476671411 10141430014233