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42243141408 = 25313191781509
BaseRepresentation
bin100111010101111000…
…110010111100100000
311001000222220221000220
4213111320302330200
51143003221011113
631223425043040
73023552530446
oct472570627440
9131028827026
1042243141408
1116a08174416
12822b186480
133ca2a0a580
14208a478b96
1511738c6523
hex9d5e32f20

42243141408 has 96 divisors (see below), whose sum is σ = 125703345600. Its totient is φ = 12313783296.

The previous prime is 42243141401. The next prime is 42243141431. The reversal of 42243141408 is 80414134224.

42243141408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42243141401) 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, 867043 + ... + 914466.

It is an arithmetic number, because the mean of its divisors is an integer number (1309409850).

Almost surely, 242243141408 is an apocalyptic number.

42243141408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42243141408 is an abundant number, since it is smaller than the sum of its proper divisors (83460204192).

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

42243141408 is a wasteful number, since it uses less digits than its factorization.

42243141408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781554 (or 1781546 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 42243141408 in words is "forty-two billion, two hundred forty-three million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 1781509 3563018 5344527 7126036 10689054 14252072 21378108 23159617 28504144 33848671 42756216 46319234 57008288 67697342 69478851 85512432 92638468 101546013 135394684 138957702 171024864 185276936 203092026 270789368 277915404 370553872 406184052 440032723 541578736 555830808 741107744 812368104 880065446 1083157472 1111661616 1320098169 1624736208 1760130892 2223323232 2640196338 3249472416 3520261784 5280392676 7040523568 10560785352 14081047136 21121570704 42243141408