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142507848576 = 2732959216899
BaseRepresentation
bin1000010010111000100…
…0010011001110000000
3111121211121122210020210
42010232020103032000
54313324002123301
6145244525434120
713203322504122
oct2045610231600
9447747583223
10142507848576
1155489a68975
122375170b940
131059130b972
146c7c723212
153a90e9cad6
hex212e213380

142507848576 has 128 divisors (see below), whose sum is σ = 398228400000. Its totient is φ = 45087021056.

The previous prime is 142507848551. The next prime is 142507848589. The reversal of 142507848576 is 675848705241.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 548575 + ... + 765473.

It is an arithmetic number, because the mean of its divisors is an integer number (3111159375).

Almost surely, 2142507848576 is an apocalyptic number.

142507848576 is a gapful number since it is divisible by the number (16) 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 142507848576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199114200000).

142507848576 is an abundant number, since it is smaller than the sum of its proper divisors (255720551424).

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

142507848576 is a wasteful number, since it uses less digits than its factorization.

142507848576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217004 (or 216992 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 142507848576 in words is "one hundred forty-two billion, five hundred seven million, eight hundred forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 128 174 177 192 232 236 348 354 384 464 472 696 708 928 944 1392 1416 1711 1856 1888 2784 2832 3422 3712 3776 5133 5568 5664 6844 7552 10266 11136 11328 13688 20532 22656 27376 41064 54752 82128 109504 164256 216899 219008 328512 433798 650697 657024 867596 1301394 1735192 2602788 3470384 5205576 6290071 6940768 10411152 12580142 12797041 13881536 18870213 20822304 25160284 25594082 27763072 37740426 38391123 41644608 50320568 51188164 75480852 76782246 83289216 100641136 102376328 150961704 153564492 201282272 204752656 301923408 307128984 371114189 402564544 409505312 603846816 614257968 742228378 805129088 819010624 1113342567 1207693632 1228515936 1484456756 1638021248 2226685134 2415387264 2457031872 2968913512 4453370268 4914063744 5937827024 8906740536 11875654048 17813481072 23751308096 35626962144 47502616192 71253924288 142507848576