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40281509761352 = 23232137197935107
BaseRepresentation
bin10010010100010110001010…
…00101001001000101001000
312021121212121200012121000222
421022023011011021011020
520234433012444330402
6221401023051245212
711325146235403646
oct1112130505110510
9167555550177028
1040281509761352
111192032413a402
1246269b0149808
1319626b774aa52
149d38c7a5a196
1549cc33e867a2
hex24a2c5149148

40281509761352 has 96 divisors (see below), whose sum is σ = 79573187786400. Its totient is φ = 19114240772352.

The previous prime is 40281509761327. The next prime is 40281509761369. The reversal of 40281509761352 is 25316790518204.

It is a junction number, because it is equal to n+sod(n) for n = 40281509761294 and 40281509761303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147374983 + ... + 1147410089.

It is an arithmetic number, because the mean of its divisors is an integer number (828887372775).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40281509761352 = 80563019522704, but 3⋅40281509761352 = 120844529284056 is not.

Almost surely, 240281509761352 is an apocalyptic number.

It is an amenable number.

40281509761352 is a deficient number, since it is larger than the sum of its proper divisors (39291678025048).

40281509761352 is a wasteful number, since it uses less digits than its factorization.

40281509761352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37275 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 40281509761352 in words is "forty trillion, two hundred eighty-one billion, five hundred nine million, seven hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 23 46 92 137 184 274 529 548 1058 1096 1979 2116 3151 3958 4232 6302 7916 12604 15832 25208 35107 45517 70214 72473 91034 140428 144946 182068 271123 280856 289892 364136 542246 579784 807461 1046891 1084492 1614922 2093782 2168984 3229844 4187564 4809659 6235829 6459688 8375128 9619318 12471658 18571603 19238636 24943316 37143206 38477272 49886632 69476753 74286412 110622157 138953506 143424067 148572824 221244314 277907012 286848134 442488628 555814024 573696268 884977256 1147392536 1597965319 2544309611 3195930638 5088619222 6391861276 9518315161 10177238444 12783722552 19036630322 20354476888 36753202337 38073260644 73506404674 76146521288 147012809348 218921248703 294025618696 437842497406 875684994812 1751369989624 5035188720169 10070377440338 20140754880676 40281509761352