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142069745680 = 24516719953437
BaseRepresentation
bin1000010001010000000…
…1000100100000010000
3111120201002021212001121
42010110001010200100
54311424323330210
6145133235412024
713156422625162
oct2042401044020
9446632255047
10142069745680
1155284738765
122364aa54014
1310521619195
146c3a480932
153a677ae6da
hex2114044810

142069745680 has 80 divisors (see below), whose sum is σ = 333966124800. Its totient is φ = 56202702336.

The previous prime is 142069745621. The next prime is 142069745681. The reversal of 142069745680 is 86547960241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (142069745681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631922 + ... + 2685358.

It is an arithmetic number, because the mean of its divisors is an integer number (4174576560).

Almost surely, 2142069745680 is an apocalyptic number.

142069745680 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 142069745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166983062400).

142069745680 is an abundant number, since it is smaller than the sum of its proper divisors (191896379120).

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

142069745680 is a wasteful number, since it uses less digits than its factorization.

142069745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53816 (or 53810 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 142069745680 in words is "one hundred forty-two billion, sixty-nine million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 199 334 398 668 796 835 995 1336 1592 1670 1990 2672 3184 3340 3980 6680 7960 13360 15920 33233 53437 66466 106874 132932 166165 213748 265864 267185 332330 427496 531728 534370 664660 854992 1068740 1329320 2137480 2658640 4274960 8923979 10633963 17847958 21267926 35695916 42535852 44619895 53169815 71391832 85071704 89239790 106339630 142783664 170143408 178479580 212679260 356959160 425358520 713918320 850717040 1775871821 3551743642 7103487284 8879359105 14206974568 17758718210 28413949136 35517436420 71034872840 142069745680