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240305044131140 = 225791272455148779
BaseRepresentation
bin110110101000111001100000…
…110010110000110101000100
31011111211221022200220111201212
4312220321200302300311010
5222444124212244144030
62211030340244110552
7101421316003613462
oct6650714062606504
91144757280814655
10240305044131140
116a62888474403a
1222b50889095458
13a41188c6c5b11
14434ab7d10d832
151cbad441dc595
hexda8e60cb0d44

240305044131140 has 96 divisors (see below), whose sum is σ = 515083832524800. Its totient is φ = 94152232137600.

The previous prime is 240305044131127. The next prime is 240305044131203. The reversal of 240305044131140 is 41131440503042.

It is a junction number, because it is equal to n+sod(n) for n = 240305044131097 and 240305044131106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4926379271 + ... + 4926428049.

It is an arithmetic number, because the mean of its divisors is an integer number (5365456588800).

Almost surely, 2240305044131140 is an apocalyptic number.

240305044131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240305044131140 is an abundant number, since it is smaller than the sum of its proper divisors (274778788393660).

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

240305044131140 is a wasteful number, since it uses less digits than its factorization.

240305044131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73545 (or 73543 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 240305044131140 its reverse (41131440503042), we get a palindrome (281436484634182).

The spelling of 240305044131140 in words is "two hundred forty trillion, three hundred five billion, forty-four million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 79 127 158 254 316 395 508 635 790 1270 1580 2540 10033 20066 24551 40132 48779 49102 50165 97558 98204 100330 122755 195116 200660 243895 245510 487790 491020 975580 1939529 3117977 3853541 3879058 6194933 6235954 7707082 7758116 9697645 12389866 12471908 15414164 15589885 19267705 19395290 24779732 30974665 31179770 38535410 38790580 61949330 62359540 77070820 123898660 246320183 489399707 492640366 978799414 985280732 1197573229 1231600915 1957598828 2395146458 2446998535 2463201830 4790292916 4893997070 4926403660 5987866145 9787994140 11975732290 23951464580 94608285091 152091800083 189216570182 304183600166 378433140364 473041425455 608367200332 760459000415 946082850910 1520918000830 1892165701820 3041836001660 12015252206557 24030504413114 48061008826228 60076261032785 120152522065570 240305044131140