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4240141323440 = 245115390912121
BaseRepresentation
bin111101101100111100000…
…111100000110010110000
3120000100112201221220020112
4331230330013200302300
51023432302134322230
613003521040000452
7615224440402451
oct75547407406260
916010481856215
104240141323440
111395263267240
12585926900128
13249ac754b9a9
1410931c699128
157546852ed95
hex3db3c1e0cb0

4240141323440 has 80 divisors (see below), whose sum is σ = 10957456240416. Its totient is φ = 1512777676800.

The previous prime is 4240141323437. The next prime is 4240141323443. The reversal of 4240141323440 is 443231410424.

4240141323440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4240141323437) and next prime (4240141323443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4240141323397 and 4240141323406.

It is not an unprimeable number, because it can be changed into a prime (4240141323443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45409421 + ... + 45502700.

Almost surely, 24240141323440 is an apocalyptic number.

4240141323440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240141323440 is an abundant number, since it is smaller than the sum of its proper divisors (6717314916976).

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

4240141323440 is a wasteful number, since it uses less digits than its factorization.

4240141323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90912198 (or 90912192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4240141323440 its reverse (443231410424), we get a palindrome (4683372733864).

The spelling of 4240141323440 in words is "four trillion, two hundred forty billion, one hundred forty-one million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 11660 23320 46640 90912121 181824242 363648484 454560605 727296968 909121210 1000033331 1454593936 1818242420 2000066662 3636484840 4000133324 4818342413 5000166655 7272969680 8000266648 9636684826 10000333310 16000533296 19273369652 20000666620 24091712065 38546739304 40001333240 48183424130 53001766543 77093478608 80002666480 96366848260 106003533086 192733696520 212007066172 265008832715 385467393040 424014132344 530017665430 848028264688 1060035330860 2120070661720 4240141323440