Search a number
-
+
10145356434020 = 225507267821701
BaseRepresentation
bin1001001110100010011001…
…0111011100101001100100
31022220212221100000011200202
42103220212113130221210
52312210142221342040
633324413513530032
72064656250553313
oct223504627345144
938825840004622
1010145356434020
113261692244335
12117a2a3413918
1358791a6759b2
14271075cc227a
15128d86026015
hex93a265dca64

10145356434020 has 12 divisors (see below), whose sum is σ = 21305248511484. Its totient is φ = 4058142573600.

The previous prime is 10145356434007. The next prime is 10145356434029. The reversal of 10145356434020 is 2043465354101.

It can be written as a sum of positive squares in 2 ways, for example, as 3204407887396 + 6940948546624 = 1790086^2 + 2634568^2 .

It is a super-2 number, since 2×101453564340202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10145356434029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253633910831 + ... + 253633910870.

It is an arithmetic number, because the mean of its divisors is an integer number (1775437375957).

Almost surely, 210145356434020 is an apocalyptic number.

10145356434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145356434020 is an abundant number, since it is smaller than the sum of its proper divisors (11159892077464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145356434020 is a wasteful number, since it uses less digits than its factorization.

10145356434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507267821710 (or 507267821708 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 10145356434020 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-six million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 507267821701 1014535643402 2029071286804 2536339108505 5072678217010 10145356434020