Search a number
-
+
10043015040040 = 235376785820973
BaseRepresentation
bin1001001000100101001001…
…0110000000110000101000
31022120002202222121200201111
42102021102112000300220
52304021043322240130
633205410350400104
72054404163221303
oct222112226006050
938502688550644
1010043015040040
113222245195294
1211624a1500034
1357b08aa59c38
1426a127cd9b3a
1512639649002a
hex92252580c28

10043015040040 has 32 divisors (see below), whose sum is σ = 23207507731080. Its totient is φ = 3908632879872.

The previous prime is 10043015040017. The next prime is 10043015040103. The reversal of 10043015040040 is 4004051034001.

It can be written as a sum of positive squares in 4 ways, for example, as 9361653941124 + 681361098916 = 3059682^2 + 825446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10043015039993 and 10043015040020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3392909007 + ... + 3392911966.

Almost surely, 210043015040040 is an apocalyptic number.

10043015040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10043015040040 is an abundant number, since it is smaller than the sum of its proper divisors (13164492691040).

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

10043015040040 is a wasteful number, since it uses less digits than its factorization.

10043015040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785821021 (or 6785821017 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10043015040040 its reverse (4004051034001), we get a palindrome (14047066074041).

The spelling of 10043015040040 in words is "ten trillion, forty-three billion, fifteen million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 6785820973 13571641946 27143283892 33929104865 54286567784 67858209730 135716419460 251075376001 271432838920 502150752002 1004301504004 1255376880005 2008603008008 2510753760010 5021507520020 10043015040040