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42302313232144 = 24731257227320857
BaseRepresentation
bin10011001111001010001100…
…10110100111011100010000
312112210001122221110020222021
421213211012112213130100
521021040114141412034
6225545225303021224
711624145520446250
oct1147450626473420
9175701587406867
1042302313232144
111252a346000759
1248b257b13a814
131a7b124c86644
14a6362b3c1960
154d55a84e06b4
hex2679465a7710

42302313232144 has 160 divisors (see below), whose sum is σ = 97114591696896. Its totient is φ = 17467944468480.

The previous prime is 42302313232097. The next prime is 42302313232159. The reversal of 42302313232144 is 44123231320324.

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, 2028196564 + ... + 2028217420.

Almost surely, 242302313232144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42302313232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557295848448).

42302313232144 is an abundant number, since it is smaller than the sum of its proper divisors (54812278464752).

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

42302313232144 is a wasteful number, since it uses less digits than its factorization.

42302313232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23433 (or 23427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 42302313232144 its reverse (44123231320324), we get a palindrome (86425544552468).

The spelling of 42302313232144 in words is "forty-two trillion, three hundred two billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 257 434 496 514 868 1028 1736 1799 2056 2273 3472 3598 4112 4546 7196 7967 9092 14392 15911 15934 18184 20857 28784 31822 31868 36368 41714 55769 63644 63736 70463 83428 111538 127288 127472 140926 145999 166856 223076 254576 281852 291998 333712 446152 493241 563704 583996 584161 646567 892304 986482 1127408 1167992 1168322 1293134 1972964 2335984 2336644 2586268 3945928 4089127 4525969 4673288 5172536 5360249 7891856 8178254 9051938 9346576 10345072 10720498 16356508 18103876 18108991 21440996 32713016 36207752 36217982 37521743 42881992 47407961 65426032 72415504 72435964 75043486 85763984 94815922 126762937 144871928 150086972 166167719 189631844 253525874 289743856 300173944 331855727 332335438 379263688 507051748 600347888 663711454 664670876 758527376 1014103496 1163174033 1327422908 1329341752 1469646791 2028206992 2326348066 2654845816 2658683504 2939293582 4652696132 5309691632 5878587164 9305392264 10287527537 11757174328 12183845977 18610784528 20575055074 23514348656 24367691954 41150110148 48735383908 82300220296 85286921839 97470767816 164600440592 170573843678 194941535632 341147687356 377699225287 682295374712 755398450574 1364590749424 1510796901148 2643894577009 3021593802296 5287789154018 6043187604592 10575578308036 21151156616072 42302313232144