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240240229216 = 25133740138923
BaseRepresentation
bin1101111110111101101…
…1101111101101100000
3211222002202101010112021
43133233123233231200
512414002444313331
6302210445511224
723233243153351
oct3375733575540
9758082333467
10240240229216
1192981389a89
123a687b72514
13198680a29b0
14b8b0543d28
1563b10b0211
hex37ef6efb60

240240229216 has 96 divisors (see below), whose sum is σ = 524439867168. Its totient is φ = 107611545600.

The previous prime is 240240229183. The next prime is 240240229237. The reversal of 240240229216 is 612922042042.

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, 6152731 + ... + 6191653.

It is an arithmetic number, because the mean of its divisors is an integer number (5462915283).

Almost surely, 2240240229216 is an apocalyptic number.

240240229216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240240229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262219933584).

240240229216 is an abundant number, since it is smaller than the sum of its proper divisors (284199637952).

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

240240229216 is a wasteful number, since it uses less digits than its factorization.

240240229216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39384 (or 39376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 240240229216 in words is "two hundred forty billion, two hundred forty million, two hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 401 416 481 592 802 962 1184 1604 1924 3208 3848 5213 6416 7696 10426 12832 14837 15392 20852 29674 38923 41704 59348 77846 83408 118696 155692 166816 192881 237392 311384 385762 474784 505999 622768 771524 1011998 1245536 1440151 1543048 2023996 2880302 3086096 4047992 5760604 6172192 8095984 11521208 15608123 16191968 18721963 23042416 31216246 37443926 46084832 62432492 74887852 124864984 149775704 202905599 249729968 299551408 405811198 499459936 577500551 599102816 811622396 1155001102 1623244792 2310002204 3246489584 4620004408 6492979168 7507507163 9240008816 15015014326 18480017632 30030028652 60060057304 120120114608 240240229216