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10842302240 = 255711880057
BaseRepresentation
bin10100001100100000…
…00110011100100000
31000222121201000120122
422012100012130200
5134201112132430
64551512055412
7532453022420
oct120620063440
930877630518
1010842302240
114664219170
122127094568
13103a361a73
1474bd80480
15436cddee5
hex286406720

10842302240 has 96 divisors (see below), whose sum is σ = 31935544704. Its totient is φ = 3379415040.

The previous prime is 10842302231. The next prime is 10842302299. The reversal of 10842302240 is 4220324801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427709 + ... + 452348.

It is an arithmetic number, because the mean of its divisors is an integer number (332661924).

Almost surely, 210842302240 is an apocalyptic number.

10842302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10842302240 is an abundant number, since it is smaller than the sum of its proper divisors (21093242464).

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

10842302240 is a wasteful number, since it uses less digits than its factorization.

10842302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880090 (or 880082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 10842302240 in words is "ten billion, eight hundred forty-two million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 880057 1760114 3520228 4400285 6160399 7040456 8800570 9680627 12320798 14080912 17601140 19361254 24641596 28161824 30801995 35202280 38722508 48403135 49283192 61603990 67764389 70404560 77445016 96806270 98566384 123207980 135528778 140809120 154890032 193612540 197132768 246415960 271057556 309780064 338821945 387225080 492831920 542115112 677643890 774450160 985663840 1084230224 1355287780 1548900320 2168460448 2710575560 5421151120 10842302240