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144621849328 = 24114780921611
BaseRepresentation
bin1000011010110000100…
…0100100101011110000
3111211021221112011002221
42012230020210223300
54332141143134303
6150234404050424
713306602302455
oct2065410445360
9454257464087
10144621849328
1156374299a30
1224041693a14
131083a28c398
146ddd3b582c
153b6687d4bd
hex21ac224af0

144621849328 has 80 divisors (see below), whose sum is σ = 312582136320. Its totient is φ = 64256038400.

The previous prime is 144621849289. The next prime is 144621849439. The reversal of 144621849328 is 823948126441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6681243 + ... + 6702853.

It is an arithmetic number, because the mean of its divisors is an integer number (3907276704).

Almost surely, 2144621849328 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 144621849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156291068160).

144621849328 is an abundant number, since it is smaller than the sum of its proper divisors (167960286992).

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

144621849328 is a wasteful number, since it uses less digits than its factorization.

144621849328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22486 (or 22480 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The spelling of 144621849328 in words is "one hundred forty-four billion, six hundred twenty-one million, eight hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 809 1034 1618 2068 3236 4136 6472 8272 8899 12944 17798 21611 35596 38023 43222 71192 76046 86444 142384 152092 172888 237721 304184 345776 418253 475442 608368 836506 950884 1015717 1673012 1901768 2031434 3346024 3803536 4062868 6692048 8125736 11172887 16251472 17483299 22345774 34966598 44691548 69933196 89383096 139866392 178766192 192316289 279732784 384632578 769265156 821715053 1538530312 1643430106 3077060624 3286860212 6573720424 9038865583 13147440848 18077731166 36155462332 72310924664 144621849328