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144313332224 = 297114932659
BaseRepresentation
bin1000011001100110111…
…1101011001000000000
3111210111102222212012112
42012121233223020000
54331023203112344
6150144023314452
713266135040625
oct2063157531000
9453442885175
10144313332224
1156226128516
1223b762aba28
13107bb39b999
146db042634c
153b4973ac9e
hex2199beb200

144313332224 has 80 divisors (see below), whose sum is σ = 292711890240. Its totient is φ = 71065989120.

The previous prime is 144313332193. The next prime is 144313332269. The reversal of 144313332224 is 422233313441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54272207 + ... + 54274865.

It is an arithmetic number, because the mean of its divisors is an integer number (3658898628).

Almost surely, 2144313332224 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 144313332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146355945120).

144313332224 is an abundant number, since it is smaller than the sum of its proper divisors (148398558016).

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

144313332224 is an equidigital number, since it uses as much as digits as its factorization.

144313332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4225 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 144313332224 its reverse (422233313441), we get a palindrome (566546645665).

The spelling of 144313332224 in words is "one hundred forty-four billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 1493 2272 2659 2986 4544 5318 5972 9088 10636 11944 18176 21272 23888 36352 42544 47776 85088 95552 106003 170176 188789 191104 212006 340352 377578 382208 424012 680704 755156 764416 848024 1361408 1510312 1696048 3020624 3392096 3969887 6041248 6784192 7939774 12082496 13568384 15879548 24164992 27136768 31759096 48329984 54273536 63518192 96659968 127036384 254072768 281861977 508145536 563723954 1016291072 1127447908 2032582144 2254895816 4509791632 9019583264 18039166528 36078333056 72156666112 144313332224