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240578740140 = 223573129742349
BaseRepresentation
bin1110000000001110011…
…1000011111110101100
3211222222100100021012220
43200003213003332230
512420201124141030
6302304221155340
723244523356564
oct3400347037654
9758870307186
10240578740140
1193035477282
123a7613bbb50
13198c026560b
14b90349dda4
1563d0b79a10
hex38039c3fac

240578740140 has 96 divisors (see below), whose sum is σ = 683390769600. Its totient is φ = 63225225216.

The previous prime is 240578740123. The next prime is 240578740147. The reversal of 240578740140 is 41047875042.

240578740140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240578740092 and 240578740101.

It is not an unprimeable number, because it can be changed into a prime (240578740147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5659686 + ... + 5702034.

It is an arithmetic number, because the mean of its divisors is an integer number (7118653850).

Almost surely, 2240578740140 is an apocalyptic number.

240578740140 is a gapful number since it is divisible by the number (20) 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 240578740140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341695384800).

240578740140 is an abundant number, since it is smaller than the sum of its proper divisors (442812029460).

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

240578740140 is a wasteful number, since it uses less digits than its factorization.

240578740140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43731 (or 43729 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 240578740140 in words is "two hundred forty billion, five hundred seventy-eight million, seven hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1297 1460 2190 2594 3891 4380 5188 6485 7782 12970 15564 19455 25940 38910 42349 77820 84698 94681 127047 169396 189362 211745 254094 284043 378724 423490 473405 508188 568086 635235 846980 946810 1136172 1270470 1420215 1893620 2540940 2840430 3091477 5680860 6182954 9274431 12365908 15457385 18548862 30914770 37097724 46372155 54926653 61829540 92744310 109853306 164779959 185488620 219706612 274633265 329559918 549266530 659119836 823899795 1098533060 1647799590 3295599180 4009645669 8019291338 12028937007 16038582676 20048228345 24057874014 40096456690 48115748028 60144685035 80192913380 120289370070 240578740140