Search a number
-
+
10140637144627 = 111723189882713
BaseRepresentation
bin1001001110010000110100…
…0100110010011000110011
31022220102202102211102200201
42103210031010302120303
52312121011102112002
633322313331100031
72064431304346153
oct223441504623063
938812672742621
1010140637144627
11325a690336370
1211793a6a41617
13587347a20072
14270b49212763
15128baba6d087
hex9390d132633

10140637144627 has 12 divisors (see below), whose sum is σ = 11751527918376. Its totient is φ = 8676480976640.

The previous prime is 10140637144613. The next prime is 10140637144637. The reversal of 10140637144627 is 72644173604101.

It is not a de Polignac number, because 10140637144627 - 219 = 10140636620339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10140637144637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1594938178 + ... + 1594944535.

It is an arithmetic number, because the mean of its divisors is an integer number (979293993198).

Almost surely, 210140637144627 is an apocalyptic number.

10140637144627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10140637144627 is a deficient number, since it is larger than the sum of its proper divisors (1610890773749).

10140637144627 is a wasteful number, since it uses less digits than its factorization.

10140637144627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189882758 (or 3189882741 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 10140637144627 in words is "ten trillion, one hundred forty billion, six hundred thirty-seven million, one hundred forty-four thousand, six hundred twenty-seven".

Divisors: 1 11 17 187 289 3179 3189882713 35088709843 54228006121 596508067331 921876104057 10140637144627