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144432350614336 = 264398353390321
BaseRepresentation
bin100000110101110001000110…
…111100111101001101000000
3200221101121010211220002120111
4200311301012330331031000
5122412334423224124321
61231103150023121104
742264615201630121
oct4065610674751500
9627347124802514
10144432350614336
114202546363a614
1214247b59ba3194
136278bb21c65c5
1427947c50c0048
1511a703c0375e1
hex835c46f3d340

144432350614336 has 56 divisors (see below), whose sum is σ = 293571597426624. Its totient is φ = 70464971458560.

The previous prime is 144432350614333. The next prime is 144432350614369. The reversal of 144432350614336 is 633416053234441.

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 144432350614336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144432350614333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23989945 + ... + 29400376.

Almost surely, 2144432350614336 is an apocalyptic number.

144432350614336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144432350614336 is an abundant number, since it is smaller than the sum of its proper divisors (149139246812288).

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

144432350614336 is an equidigital number, since it uses as much as digits as its factorization.

144432350614336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53391359 (or 53391349 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 49.

The spelling of 144432350614336 in words is "one hundred forty-four trillion, four hundred thirty-two billion, three hundred fifty million, six hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 983 1376 1966 2752 3932 7864 15728 31456 42269 62912 84538 169076 338152 676304 1352608 2705216 53390321 106780642 213561284 427122568 854245136 1708490272 2295783803 3416980544 4591567606 9183135212 18366270424 36732540848 52482685543 73465081696 104965371086 146930163392 209930742172 419861484344 839722968688 1679445937376 2256755478349 3358891874752 4513510956698 9027021913396 18054043826792 36108087653584 72216175307168 144432350614336