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240428822080 = 2652293280961
BaseRepresentation
bin1101111111101010101…
…1001010111001000000
3211222120220020122022011
43133322223022321000
512414344234301310
6302241304022304
723241023160646
oct3377253127100
9758526218264
10240428822080
1192a68890657
123a71b161994
1319898194ac5
14b8cb5d7196
1563c291478a
hex37faacae40

240428822080 has 56 divisors (see below), whose sum is σ = 575021400120. Its totient is φ = 95751536640.

The previous prime is 240428822077. The next prime is 240428822093. The reversal of 240428822080 is 80228824042.

It can be written as a sum of positive squares in 4 ways, for example, as 62736222784 + 177692599296 = 250472^2 + 421536^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1567201 + ... + 1713760.

Almost surely, 2240428822080 is an apocalyptic number.

240428822080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240428822080 is an abundant number, since it is smaller than the sum of its proper divisors (334592578040).

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

240428822080 is a wasteful number, since it uses less digits than its factorization.

240428822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281207 (or 3281197 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 240428822080 in words is "two hundred forty billion, four hundred twenty-eight million, eight hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 916 1145 1832 2290 3664 4580 7328 9160 14656 18320 36640 73280 3280961 6561922 13123844 16404805 26247688 32809610 52495376 65619220 104990752 131238440 209981504 262476880 524953760 751340069 1049907520 1502680138 3005360276 3756700345 6010720552 7513400690 12021441104 15026801380 24042882208 30053602760 48085764416 60107205520 120214411040 240428822080