Search a number
-
+
10145143850877 = 34731577182901
BaseRepresentation
bin1001001110100001100110…
…1100100000011101111101
31022220212101111222211110000
42103220121230200131331
52312204223311212002
633324340441304513
72064651056620350
oct223503154403575
938825344884400
1010145143850877
113261593247492
12117a244195139
135878b5604159
14271055986297
15128d7253361c
hex93a19b2077d

10145143850877 has 40 divisors (see below), whose sum is σ = 17878817572352. Its totient is φ = 5610217788000.

The previous prime is 10145143850867. The next prime is 10145143850957. The reversal of 10145143850877 is 77805834154101.

It is a happy number.

10145143850877 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 514 + 3 + 8 + 50 + 8 + 77 = 666.

10145143850877 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 10145143850877 - 27 = 10145143850749 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145143850857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288573874 + ... + 288609027.

Almost surely, 210145143850877 is an apocalyptic number.

It is an amenable number.

10145143850877 is a deficient number, since it is larger than the sum of its proper divisors (7733673721475).

10145143850877 is an equidigital number, since it uses as much as digits as its factorization.

10145143850877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577182951 (or 577182942 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 10145143850877 in words is "ten trillion, one hundred forty-five billion, one hundred forty-three million, eight hundred fifty thousand, eight hundred seventy-seven".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 5859 17577 577182901 1731548703 4040280307 5194646109 12120840921 15583938327 17892669931 36362522763 46751814981 53678009793 109087568289 125248689517 161034029379 327262704867 375746068551 483102088137 1127238205653 1449306264411 3381714616959 10145143850877