Search a number
-
+
11432414225133 = 3311295412453501
BaseRepresentation
bin1010011001011101000011…
…1111010010001011101101
31111110221001121022021222000
42212113100333102023231
52444302041020201013
640151551213042513
72256651611354406
oct246272077221355
944427047267860
1011432414225133
113708506873420
121347818486439
1364c0c2353b65
142b74906669ad
1514c5b3b12973
hexa65d0fd22ed

11432414225133 has 64 divisors (see below), whose sum is σ = 19149092409600. Its totient is φ = 6677445600000.

The previous prime is 11432414225117. The next prime is 11432414225149. The reversal of 11432414225133 is 33152241423411.

11432414225133 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 414 + 225 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (11432414225117) and next prime (11432414225149).

It is not a de Polignac number, because 11432414225133 - 24 = 11432414225117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432414221133) 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, 3432883 + ... + 5886383.

It is an arithmetic number, because the mean of its divisors is an integer number (299204568900).

Almost surely, 211432414225133 is an apocalyptic number.

It is an amenable number.

11432414225133 is a deficient number, since it is larger than the sum of its proper divisors (7716678184467).

11432414225133 is a wasteful number, since it uses less digits than its factorization.

11432414225133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454091 (or 2454085 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 11432414225133 its reverse (33152241423411), we get a palindrome (44584655648544).

The spelling of 11432414225133 in words is "eleven trillion, four hundred thirty-two billion, four hundred fourteen million, two hundred twenty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 541 783 957 1623 2871 4869 5951 8613 14607 15689 17853 47067 53559 141201 160677 172579 423603 517737 1553211 2453501 4659633 7360503 22081509 26988511 66244527 71151529 80965533 213454587 242896599 640363761 728689797 782666819 1327344041 1921091283 2348000457 3982032123 7044001371 11946096369 14600784451 21132004113 35838289107 38492977189 43802353353 115478931567 131407060059 346436794701 394221180177 423422749079 1039310384103 1270268247237 3810804741711 11432414225133