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314031000042 = 232257436315559
BaseRepresentation
bin1001001000111011011…
…01001100100111101010
31010000120100201200101100
410210131231030213222
520121113414000132
6400132554102230
731454660313114
oct4443555144752
91100510650340
10314031000042
111111a8349301
1250a4041a976
13237c79a29b6
14112b07a83b4
15827e3b737c
hex491db4c9ea

314031000042 has 48 divisors (see below), whose sum is σ = 683248438080. Its totient is φ = 104239097856.

The previous prime is 314031000007. The next prime is 314031000053. The reversal of 314031000042 is 240000130413.

314031000042 is a `hidden beast` number, since 314 + 0 + 310 + 0 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314030999979 and 314031000024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20175459 + ... + 20191017.

It is an arithmetic number, because the mean of its divisors is an integer number (14234342460).

Almost surely, 2314031000042 is an apocalyptic number.

314031000042 is an abundant number, since it is smaller than the sum of its proper divisors (369217438038).

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

314031000042 is a wasteful number, since it uses less digits than its factorization.

314031000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20187 (or 20184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 314031000042 its reverse (240000130413), we get a palindrome (554031130455).

The spelling of 314031000042 in words is "three hundred fourteen billion, thirty-one million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4363 4626 8726 13089 15559 26178 31118 39267 46677 78534 93354 140031 280062 1121291 2242582 3363873 3998663 6727746 7997326 10091619 11995989 20183238 23991978 35987967 67883917 71975934 135767834 203651751 407303502 610955253 1221910506 17446166669 34892333338 52338500007 104677000014 157015500021 314031000042