Search a number
-
+
314011430010 = 232523756120063
BaseRepresentation
bin1001001000111001000…
…10100010110001111010
31010000111222220102100100
410210130202202301322
520121043411230020
6400131014420230
731454332054455
oct4443442426172
91100458812310
10314011430010
111111982a2023
1250a35961676
13237c39101b5
14112abd5249c
15827c7eda90
hex491c8a2c7a

314011430010 has 96 divisors (see below), whose sum is σ = 852081804288. Its totient is φ = 80081084160.

The previous prime is 314011430009. The next prime is 314011430023. The reversal of 314011430010 is 10034110413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15641239 + ... + 15661301.

It is an arithmetic number, because the mean of its divisors is an integer number (8875852128).

Almost surely, 2314011430010 is an apocalyptic number.

314011430010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314011430010 is an abundant number, since it is smaller than the sum of its proper divisors (538070374278).

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

314011430010 is a wasteful number, since it uses less digits than its factorization.

314011430010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27660 (or 27657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 314011430010 its reverse (10034110413), we get a palindrome (324045540423).

The spelling of 314011430010 in words is "three hundred fourteen billion, eleven million, four hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 7561 15122 20063 22683 37805 40126 45366 60189 68049 75610 100315 113415 120378 136098 173903 180567 200630 226830 300945 340245 347806 361134 461449 521709 601890 680490 869515 902835 922898 1043418 1384347 1565127 1739030 1805670 2307245 2608545 2768694 3130254 4153041 4614490 5217090 6921735 7825635 8306082 13843470 15651270 20765205 41530410 151696343 303392686 455089029 758481715 910178058 1365267087 1516963430 2275445145 2730534174 3489015889 4550890290 6826335435 6978031778 10467047667 13652670870 17445079445 20934095334 31401143001 34890158890 52335238335 62802286002 104670476670 157005715005 314011430010