Search a number
-
+
10412041142120 = 2351715311825209
BaseRepresentation
bin1001011110000011111000…
…0000110111111101101000
31100212101022001100000112212
42113200332000313331220
52331042330013021440
634051120424424252
72123150041305032
oct227407600677550
940771261300485
1010412041142120
1133547a3868742
121201b0b618088
135a6b0b304a17
1427dd3457cc52
15130c939d7465
hex9783e037f68

10412041142120 has 32 divisors (see below), whose sum is σ = 24805156840200. Its totient is φ = 3919827253248.

The previous prime is 10412041142101. The next prime is 10412041142177. The reversal of 10412041142120 is 2124114021401.

It can be written as a sum of positive squares in 4 ways, for example, as 6245110956484 + 4166930185636 = 2499022^2 + 2041306^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7655911925 + ... + 7655913284.

Almost surely, 210412041142120 is an apocalyptic number.

10412041142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412041142120 is an abundant number, since it is smaller than the sum of its proper divisors (14393115698080).

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

10412041142120 is a wasteful number, since it uses less digits than its factorization.

10412041142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311825237 (or 15311825233 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10412041142120 its reverse (2124114021401), we get a palindrome (12536155163521).

The spelling of 10412041142120 in words is "ten trillion, four hundred twelve billion, forty-one million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15311825209 30623650418 61247300836 76559126045 122494601672 153118252090 260301028553 306236504180 520602057106 612473008360 1041204114212 1301505142765 2082408228424 2603010285530 5206020571060 10412041142120