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20144150144 = 27435776343
BaseRepresentation
bin10010110000101011…
…110101011010000000
31220222212202212001222
4102300223311122000
5312223400301034
613130515014212
71312122310466
oct226053653200
956885685058
1020144150144
1185a7936178
123aa229a368
131b90508c91
14d914ca836
157cd74212e
hex4b0af5680

20144150144 has 64 divisors (see below), whose sum is σ = 41141855040. Its totient is φ = 9819242496.

The previous prime is 20144150141. The next prime is 20144150149. The reversal of 20144150144 is 44105144102.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20144150141) 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, 3172637 + ... + 3178979.

It is an arithmetic number, because the mean of its divisors is an integer number (642841485).

Almost surely, 220144150144 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 20144150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570927520).

20144150144 is an abundant number, since it is smaller than the sum of its proper divisors (20997704896).

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

20144150144 is an equidigital number, since it uses as much as digits as its factorization.

20144150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 20144150144 its reverse (44105144102), we get a palindrome (64249294246).

The spelling of 20144150144 in words is "twenty billion, one hundred forty-four million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 577 688 1154 1376 2308 2752 4616 5504 6343 9232 12686 18464 24811 25372 36928 49622 50744 73856 99244 101488 198488 202976 272749 396976 405952 545498 793952 811904 1090996 1587904 2181992 3175808 3659911 4363984 7319822 8727968 14639644 17455936 29279288 34911872 58558576 117117152 157376173 234234304 314752346 468468608 629504692 1259009384 2518018768 5036037536 10072075072 20144150144