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240190233352 = 2317236710710711
BaseRepresentation
bin1101111110110001110…
…1000001101100001000
3211221222021022002002121
43133230131001230020
512413402144431402
6302201502141024
723232065203666
oct3375435015410
9757867262077
10240190233352
1192956141393
123a673281774
131985a919444
14b8a7a4bc36
1563ab9d6837
hex37ec741b08

240190233352 has 128 divisors (see below), whose sum is σ = 509774653440. Its totient is φ = 105497441280.

The previous prime is 240190233323. The next prime is 240190233397. The reversal of 240190233352 is 253332091042.

240190233352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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, 22419277 + ... + 22429987.

It is an arithmetic number, because the mean of its divisors is an integer number (3982614480).

Almost surely, 2240190233352 is an apocalyptic number.

It is an amenable number.

240190233352 is an abundant number, since it is smaller than the sum of its proper divisors (269584420088).

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

240190233352 is a wasteful number, since it uses less digits than its factorization.

240190233352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 240190233352 in words is "two hundred forty billion, one hundred ninety million, two hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 17 23 34 46 67 68 92 107 134 136 184 214 268 391 428 536 782 856 1139 1541 1564 1819 2278 2461 3082 3128 3638 4556 4922 6164 7169 7276 9112 9844 10711 12328 14338 14552 19688 21422 26197 28676 41837 42844 52394 57352 83674 85688 104788 121873 164887 167348 182087 209576 243746 246353 329774 334696 364174 487492 492706 659548 717637 728348 974984 985412 1146077 1319096 1435274 1456696 1970824 2292154 2803079 2870548 4188001 4584308 5606158 5741096 8376002 9168616 11212316 12199829 16505651 16752004 19483309 22424632 24399658 26359771 33011302 33504008 38966618 48799316 52719542 66022604 76787159 77933236 97598632 105439084 132045208 153574318 155866472 210878168 280596067 307148636 448116107 561192134 614297272 896232214 1122384268 1305381703 1766104657 1792464428 2244768536 2610763406 3532209314 3584928856 5221526812 7064418628 10443053624 14128837256 30023779169 60047558338 120095116676 240190233352