Search a number
-
+
1334022431232 = 2937611141267
BaseRepresentation
bin10011011010011001111…
…011101110001000000000
311201112100022120000220210
4103122121323232020000
5133324034220244412
62500501430234120
7165244214400111
oct23323173561000
94645308500823
101334022431232
11474834980357
121966614b5940
1398a4a935b5a
14487d1d06208
1524a7ac5583c
hex13699eee200

1334022431232 has 80 divisors (see below), whose sum is σ = 3558592315872. Its totient is φ = 444089425920.

The previous prime is 1334022431213. The next prime is 1334022431237. The reversal of 1334022431232 is 2321342204331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1334022431232.

It is not an unprimeable number, because it can be changed into a prime (1334022431237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598263 + ... + 1739529.

Almost surely, 21334022431232 is an apocalyptic number.

1334022431232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334022431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779296157936).

1334022431232 is an abundant number, since it is smaller than the sum of its proper divisors (2224569884640).

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

1334022431232 is an equidigital number, since it uses as much as digits as its factorization.

1334022431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142049 (or 1142033 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1334022431232 its reverse (2321342204331), we get a palindrome (3655364635563).

The spelling of 1334022431232 in words is "one trillion, three hundred thirty-four billion, twenty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 761 768 1522 1536 2283 3044 4566 6088 9132 12176 18264 24352 36528 48704 73056 97408 146112 194816 292224 389632 584448 1141267 1168896 2282534 3423801 4565068 6847602 9130136 13695204 18260272 27390408 36520544 54780816 73041088 109561632 146082176 219123264 292164352 438246528 584328704 868504187 876493056 1737008374 1752986112 2605512561 3474016748 5211025122 6948033496 10422050244 13896066992 20844100488 27792133984 41688200976 55584267968 83376401952 111168535936 166752803904 222337071872 333505607808 444674143744 667011215616 1334022431232