Search a number
-
+
1424133353232 = 243214966374597
BaseRepresentation
bin10100101110010100111…
…101100110111100010000
312001010221022011011102100
4110232110331212330100
5141313111114300412
63010123212120400
7204614231525322
oct24562475467420
95033838134370
101424133353232
114a9a76172817
121b000b466100
13a43ab724045
144ccdd839612
15270a1be2edc
hex14b94f66f10

1424133353232 has 60 divisors (see below), whose sum is σ = 4012344449100. Its totient is φ = 471525129984.

The previous prime is 1424133353191. The next prime is 1424133353233. The reversal of 1424133353232 is 2323533314241.

1424133353232 is a `hidden beast` number, since 1 + 4 + 2 + 41 + 33 + 353 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 662569952256 + 761563400976 = 813984^2 + 872676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1424133353233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33165843 + ... + 33208754.

It is an arithmetic number, because the mean of its divisors is an integer number (66872407485).

Almost surely, 21424133353232 is an apocalyptic number.

1424133353232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1424133353232 is an abundant number, since it is smaller than the sum of its proper divisors (2588211095868).

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

1424133353232 is a wasteful number, since it uses less digits than its factorization.

1424133353232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66374760 (or 66374751 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 1424133353232 its reverse (2323533314241), we get a palindrome (3747666667473).

The spelling of 1424133353232 in words is "one trillion, four hundred twenty-four billion, one hundred thirty-three million, three hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 66374597 132749194 199123791 265498388 398247582 530996776 597371373 796495164 1061993552 1194742746 1592990328 2389485492 3185980656 4778970984 9557941968 9889814953 19779629906 29669444859 39559259812 59338889718 79118519624 89008334577 118677779436 158237039248 178016669154 237355558872 356033338308 474711117744 712066676616 1424133353232