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144936148608 = 27354659727
BaseRepresentation
bin1000011011111011011…
…1100001111010000000
3111212002211221012200000
42012332313201322000
54333312123223413
6150325512400000
713320436636056
oct2067667417200
9455084835600
10144936148608
115651574a6a9
122410a9a6000
131088a4258a4
14702d02c1d6
153b84264073
hex21bede1e80

144936148608 has 96 divisors (see below), whose sum is σ = 432515952960. Its totient is φ = 48312039168.

The previous prime is 144936148607. The next prime is 144936148619. The reversal of 144936148608 is 806841639441.

144936148608 is a `hidden beast` number, since 1 + 4 + 493 + 6 + 148 + 6 + 0 + 8 = 666.

144936148608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144936148607) 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 11 ways as a sum of consecutive naturals, for example, 2298760 + ... + 2360967.

It is an arithmetic number, because the mean of its divisors is an integer number (4505374510).

Almost surely, 2144936148608 is an apocalyptic number.

144936148608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144936148608 is an abundant number, since it is smaller than the sum of its proper divisors (287579804352).

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

144936148608 is an frugal number, since it uses more digits than its factorization.

144936148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659756 (or 4659732 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 144936148608 in words is "one hundred forty-four billion, nine hundred thirty-six million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 4659727 9319454 13979181 18638908 27958362 37277816 41937543 55916724 74555632 83875086 111833448 125812629 149111264 167750172 223666896 251625258 298222528 335500344 377437887 447333792 503250516 596445056 671000688 754875774 894667584 1006501032 1132313661 1342001376 1509751548 1789335168 2013002064 2264627322 2684002752 3019503096 4026004128 4529254644 5368005504 6039006192 8052008256 9058509288 12078012384 16104016512 18117018576 24156024768 36234037152 48312049536 72468074304 144936148608