Search a number
-
+
10140056260441 = 1729103119949627
BaseRepresentation
bin1001001110001110101001…
…1100111000111101011001
31022220101020221210110101121
42103203222130320331121
52312113313400313231
633322135540445241
72064411022044232
oct223435234707531
938811227713347
1010140056260441
11325a412454498
1211792643a9821
13587284588303
14270ad2004089
15128b75a79311
hex938ea738f59

10140056260441 has 16 divisors (see below), whose sum is σ = 11117528691840. Its totient is φ = 9205555421440.

The previous prime is 10140056260427. The next prime is 10140056260489. The reversal of 10140056260441 is 14406265004101.

It is a cyclic number.

It is not a de Polignac number, because 10140056260441 - 211 = 10140056258393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140056260397 and 10140056260406.

It is not an unprimeable number, because it can be changed into a prime (10140056266441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9466531 + ... + 10483096.

It is an arithmetic number, because the mean of its divisors is an integer number (694845543240).

Almost surely, 210140056260441 is an apocalyptic number.

It is an amenable number.

10140056260441 is a deficient number, since it is larger than the sum of its proper divisors (977472431399).

10140056260441 is a wasteful number, since it uses less digits than its factorization.

10140056260441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19950704.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10140056260441 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixty thousand, four hundred forty-one".

Divisors: 1 17 29 493 1031 17527 29899 508283 19949627 339143659 578539183 9835166111 20568065437 349657112429 596473897673 10140056260441