Search a number
-
+
10434010404003 = 3232910160185903
BaseRepresentation
bin1001011111010101101101…
…1110111101010010100011
31100221111000010101011020220
42113311123132331102203
52331422323130412003
634105152422134123
72124555335042154
oct227653336752243
940844003334226
1010434010404003
11336304794a31a
121206220b81343
135a8bcc983a74
1428101a1db92b
1513162c593353
hex97d5b7bd4a3

10434010404003 has 64 divisors (see below), whose sum is σ = 15191565742080. Its totient is φ = 6349875840000.

The previous prime is 10434010404001. The next prime is 10434010404007. The reversal of 10434010404003 is 30040401043401.

It is not a de Polignac number, because 10434010404003 - 21 = 10434010404001 is a prime.

It is a super-2 number, since 2×104340104040032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10434010404001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121419750 + ... + 121505652.

It is an arithmetic number, because the mean of its divisors is an integer number (237368214720).

Almost surely, 210434010404003 is an apocalyptic number.

10434010404003 is a deficient number, since it is larger than the sum of its proper divisors (4757555338077).

10434010404003 is a wasteful number, since it uses less digits than its factorization.

10434010404003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86660.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10434010404003 its reverse (30040401043401), we get a palindrome (40474411447404).

The spelling of 10434010404003 in words is "ten trillion, four hundred thirty-four billion, ten million, four hundred four thousand, three".

Divisors: 1 3 23 29 69 87 101 303 601 667 1803 2001 2323 2929 6969 8787 13823 17429 41469 52287 60701 67367 85903 182103 202101 257709 400867 1202601 1396123 1760329 1975769 2491187 4188369 5280987 5927307 7473561 8676203 26028609 40487567 51627703 57297301 121462701 154883109 171891903 199552669 251609887 598658007 754829661 1187437169 1497203387 3562311507 4491610161 5214398003 5787027401 15643194009 17361082203 34435677901 103307033703 119931154069 151217542087 359793462207 453652626261 3478003468001 10434010404003