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144299224224 = 253518556999
BaseRepresentation
bin1000011001100011100…
…1110110110010100000
3111210110110110002200000
42012120321312302200
54331011100133344
6150142401100000
713265604111501
oct2063071666240
9453413402600
10144299224224
1156219171a11
1223b71627600
13107b849c35c
146dac5d2ba8
153b483a0a69
hex2198e76ca0

144299224224 has 72 divisors (see below), whose sum is σ = 425549124000. Its totient is φ = 48099738816.

The previous prime is 144299224219. The next prime is 144299224231. The reversal of 144299224224 is 422422992441.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1442992242242 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144299224224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9270724 + ... + 9286275.

It is an arithmetic number, because the mean of its divisors is an integer number (5910404500).

Almost surely, 2144299224224 is an apocalyptic number.

It is an amenable number.

144299224224 is an abundant number, since it is smaller than the sum of its proper divisors (281249899776).

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

144299224224 is an equidigital number, since it uses as much as digits as its factorization.

144299224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557024 (or 18557004 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 144299224224 in words is "one hundred forty-four billion, two hundred ninety-nine million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 18556999 37113998 55670997 74227996 111341994 148455992 167012991 222683988 296911984 334025982 445367976 501038973 593823968 668051964 890735952 1002077946 1336103928 1503116919 1781471904 2004155892 2672207856 3006233838 4008311784 4509350757 5344415712 6012467676 8016623568 9018701514 12024935352 16033247136 18037403028 24049870704 36074806056 48099741408 72149612112 144299224224