Search a number
-
+
142876591680 = 2635409363887
BaseRepresentation
bin1000010100010000011…
…0111100011001000000
3111122210022111212200210
42011010012330121000
54320102401413210
6145345301114120
713215420663654
oct2050406743100
9448708455623
10142876591680
1155659125039
12238350b8940
131061c828154
146cb56aca64
153ab3539e20
hex21441bc640

142876591680 has 112 divisors (see below), whose sum is σ = 454743555840. Its totient is φ = 38007164928.

The previous prime is 142876591661. The next prime is 142876591687. The reversal of 142876591680 is 86195678241.

It is a self number, because there is not a number n which added to its sum of digits gives 142876591680.

It is not an unprimeable number, because it can be changed into a prime (142876591687) by changing a digit.

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, 210697 + ... + 574583.

It is an arithmetic number, because the mean of its divisors is an integer number (4060210320).

Almost surely, 2142876591680 is an apocalyptic number.

142876591680 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 142876591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227371777920).

142876591680 is an abundant number, since it is smaller than the sum of its proper divisors (311866964160).

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

142876591680 is a wasteful number, since it uses less digits than its factorization.

142876591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364316 (or 364306 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 142876591680 in words is "one hundred forty-two billion, eight hundred seventy-six million, five hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 409 480 818 960 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 13088 16360 19632 24540 26176 32720 39264 49080 65440 78528 98160 130880 196320 363887 392640 727774 1091661 1455548 1819435 2183322 2911096 3638870 4366644 5458305 5822192 7277740 8733288 10916610 11644384 14555480 17466576 21833220 23288768 29110960 34933152 43666440 58221920 69866304 87332880 116443840 148829783 174665760 297659566 349331520 446489349 595319132 744148915 892978698 1190638264 1488297830 1785957396 2232446745 2381276528 2976595660 3571914792 4464893490 4762553056 5953191320 7143829584 8929786980 9525106112 11906382640 14287659168 17859573960 23812765280 28575318336 35719147920 47625530560 71438295840 142876591680