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42321320140 = 225111747240763
BaseRepresentation
bin100111011010100011…
…000001100011001100
311001020110000211002111
4213122203001203030
51143133224221030
631235300433404
73025522200001
oct473243014314
9131213024074
1042321320140
1116a48311240
1282513a8864
133cb5c80988
1420969c98a8
15117a6ba62a
hex9da8c18cc

42321320140 has 96 divisors (see below), whose sum is σ = 104842128384. Its totient is φ = 14176066560.

The previous prime is 42321320117. The next prime is 42321320179. The reversal of 42321320140 is 4102312324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55399 + ... + 296161.

It is an arithmetic number, because the mean of its divisors is an integer number (1092105504).

Almost surely, 242321320140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42321320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421064192).

42321320140 is an abundant number, since it is smaller than the sum of its proper divisors (62520808244).

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

42321320140 is a wasteful number, since it uses less digits than its factorization.

42321320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240847 (or 240845 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42321320140 its reverse (4102312324), we get a palindrome (46423632464).

The spelling of 42321320140 in words is "forty-two billion, three hundred twenty-one million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 170 187 188 220 235 340 374 470 517 748 799 935 940 1034 1598 1870 2068 2585 3196 3740 3995 5170 7990 8789 10340 15980 17578 35156 43945 87890 175780 240763 481526 963052 1203815 2407630 2648393 4092971 4815260 5296786 8185942 10593572 11315861 13241965 16371884 20464855 22631722 26483930 40929710 45022681 45263444 52967860 56579305 81859420 90045362 113158610 124474471 180090724 192369637 225113405 226317220 248948942 384739274 450226810 497897884 622372355 769478548 900453620 961848185 1244744710 1923696370 2116066007 2489489420 3847392740 4232132014 8464264028 10580330035 21160660070 42321320140