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4232434332144 = 2431312712483753
BaseRepresentation
bin111101100101110000101…
…111101011000111110000
3112222121122121220011201110
4331211300233223013300
51023321011142112034
613000204204233320
7614532445143204
oct75456057530760
915877577804643
104232434332144
111391a68928647
1258433583b840
13249169929405
14108bcaca4b04
1575166b11de9
hex3d970beb1f0

4232434332144 has 80 divisors (see below), whose sum is σ = 11057911248384. Its totient is φ = 1394875123200.

The previous prime is 4232434332109. The next prime is 4232434332149. The reversal of 4232434332144 is 4412334342324.

It is a happy number.

It is a super-2 number, since 2×42324343321442 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232434332149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462172 + ... + 2945924.

Almost surely, 24232434332144 is an apocalyptic number.

It is an amenable number.

4232434332144 is an abundant number, since it is smaller than the sum of its proper divisors (6825476916240).

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

4232434332144 is a wasteful number, since it uses less digits than its factorization.

4232434332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484166 (or 2484160 counting only the distinct ones).

The product of its digits is 663552, while the sum is 39.

Adding to 4232434332144 its reverse (4412334342324), we get a palindrome (8644768674468).

The spelling of 4232434332144 in words is "four trillion, two hundred thirty-two billion, four hundred thirty-four million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 271 393 524 542 786 813 1048 1084 1572 1626 2096 2168 3144 3252 4336 6288 6504 13008 35501 71002 106503 142004 213006 284008 426012 568016 852024 1704048 2483753 4967506 7451259 9935012 14902518 19870024 29805036 39740048 59610072 119220144 325371643 650743286 673097063 976114929 1301486572 1346194126 1952229858 2019291189 2602973144 2692388252 3904459716 4038582378 5205946288 5384776504 7808919432 8077164756 10769553008 15617838864 16154329512 32308659024 88175715253 176351430506 264527145759 352702861012 529054291518 705405722024 1058108583036 1410811444048 2116217166072 4232434332144