Search a number
-
+
1010404420434 = 23342434409897
BaseRepresentation
bin11101011010000001100…
…10111110101101010010
310120121000211011202011000
432231000302332231102
5113023302012423214
62052101241202430
7132666522603213
oct16550062765522
93517024152130
101010404420434
1135a567a54a72
121439a6490416
13743859b4636
1436c921a140a
151b439dac809
hexeb40cbeb52

1010404420434 has 32 divisors (see below), whose sum is σ = 2245872853440. Its totient is φ = 336722018976.

The previous prime is 1010404420387. The next prime is 1010404420451. The reversal of 1010404420434 is 4340244040101.

1010404420434 is a `hidden beast` number, since 10 + 10 + 404 + 4 + 204 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1010404420398 and 1010404420407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1975827 + ... + 2434070.

It is an arithmetic number, because the mean of its divisors is an integer number (70183526670).

Almost surely, 21010404420434 is an apocalyptic number.

1010404420434 is an abundant number, since it is smaller than the sum of its proper divisors (1235468433006).

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

1010404420434 is a wasteful number, since it uses less digits than its factorization.

1010404420434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414151 (or 4414145 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1010404420434 its reverse (4340244040101), we get a palindrome (5350648460535).

The spelling of 1010404420434 in words is "one trillion, ten billion, four hundred four million, four hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 4243 8486 12729 25458 38187 76374 114561 229122 4409897 8819794 13229691 26459382 39689073 79378146 119067219 238134438 18711192971 37422385942 56133578913 112267157826 168400736739 336801473478 505202210217 1010404420434