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144302311424 = 211197275101
BaseRepresentation
bin1000011001100100010…
…1101000100000000000
3111210110200020221111202
42012121011220200000
54331012342431144
6150142551200332
713265642260205
oct2063105504000
9453420227452
10144302311424
115621a990417
1223b726760a8
13107b90105bb
146dacb97cac
153b487b064e
hex2199168800

144302311424 has 96 divisors (see below), whose sum is σ = 304197566400. Its totient is φ = 68246323200.

The previous prime is 144302311409. The next prime is 144302311477. The reversal of 144302311424 is 424113203441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28286474 + ... + 28291574.

It is an arithmetic number, because the mean of its divisors is an integer number (3168724650).

Almost surely, 2144302311424 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 144302311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152098783200).

144302311424 is an abundant number, since it is smaller than the sum of its proper divisors (159895254976).

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

144302311424 is an equidigital number, since it uses as much as digits as its factorization.

144302311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144302311424 its reverse (424113203441), we get a palindrome (568415514865).

The spelling of 144302311424 in words is "one hundred forty-four billion, three hundred two million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 727 1024 1216 1454 2048 2432 2908 4864 5101 5816 9728 10202 11632 13813 19456 20404 23264 27626 38912 40808 46528 55252 81616 93056 96919 110504 163232 186112 193838 221008 326464 372224 387676 442016 652928 744448 775352 884032 1305856 1488896 1550704 1768064 2611712 3101408 3536128 3708427 5223424 6202816 7072256 7416854 10446848 12405632 14144512 14833708 24811264 28289024 29667416 49622528 59334832 70460113 99245056 118669664 140920226 198490112 237339328 281840452 474678656 563680904 949357312 1127361808 1898714624 2254723616 3797429248 4509447232 7594858496 9018894464 18037788928 36075577856 72151155712 144302311424