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144707968 = 272414691
BaseRepresentation
bin10001010000000…
…01000110000000
3101002021221000101
420220001012000
5244021123333
622205332144
73404666056
oct1050010600
9332257011
10144707968
1174758269
1240567054
1323c98222
141530c1d6
15ca8667d
hex8a01180

144707968 has 32 divisors (see below), whose sum is σ = 289543320. Its totient is φ = 72038400.

The previous prime is 144707957. The next prime is 144707993. The reversal of 144707968 is 869707441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28503 + ... + 33193.

Almost surely, 2144707968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144771660).

144707968 is an abundant number, since it is smaller than the sum of its proper divisors (144835352).

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

144707968 is an equidigital number, since it uses as much as digits as its factorization.

144707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 144707968 is about 12029.4624983829. The cubic root of 144707968 is about 525.0058569263.

The spelling of 144707968 in words is "one hundred forty-four million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 241 482 964 1928 3856 4691 7712 9382 15424 18764 30848 37528 75056 150112 300224 600448 1130531 2261062 4522124 9044248 18088496 36176992 72353984 144707968