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16142385720 = 2335315477933
BaseRepresentation
bin11110000100010100…
…10100001000111000
31112122222202011021210
433002022110020320
5231024422320340
611225443203120
71111011005016
oct170212241070
945588664253
1016142385720
116933a5734a
1231660764a0
1316a341a436
14ad1c378b6
1564726e180
hex3c2294238

16142385720 has 128 divisors (see below), whose sum is σ = 50087024640. Its totient is φ = 4157637120.

The previous prime is 16142385719. The next prime is 16142385733. The reversal of 16142385720 is 2758324161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030874 + ... + 2038806.

It is an arithmetic number, because the mean of its divisors is an integer number (391304880).

Almost surely, 216142385720 is an apocalyptic number.

16142385720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16142385720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043512320).

16142385720 is an abundant number, since it is smaller than the sum of its proper divisors (33944638920).

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

16142385720 is a wasteful number, since it uses less digits than its factorization.

16142385720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 16142385720 in words is "sixteen billion, one hundred forty-two million, three hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 547 620 744 930 1094 1240 1641 1860 2188 2735 3282 3720 4376 5470 6564 7933 8205 10940 13128 15866 16410 16957 21880 23799 31732 32820 33914 39665 47598 50871 63464 65640 67828 79330 84785 95196 101742 118995 135656 158660 169570 190392 203484 237990 245923 254355 317320 339140 406968 475980 491846 508710 678280 737769 951960 983692 1017420 1229615 1475538 1967384 2034840 2459230 2951076 3688845 4339351 4918460 5902152 7377690 8678702 9836920 13018053 14755380 17357404 21696755 26036106 29510760 34714808 43393510 52072212 65090265 86787020 104144424 130180530 134519881 173574040 260361060 269039762 403559643 520722120 538079524 672599405 807119286 1076159048 1345198810 1614238572 2017798215 2690397620 3228477144 4035596430 5380795240 8071192860 16142385720