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314002411002 = 23378279191093
BaseRepresentation
bin1001001000111000000…
…00001000110111111010
31010000111100221012121000
410210130000020313322
520121034104123002
6400130053225430
731454162312130
oct4443400106772
91100440835530
10314002411002
111111931a19a5
1250a32932276
13237c1aa2cc7
14112aaa85750
15827bb1b61c
hex491c008dfa

314002411002 has 128 divisors (see below), whose sum is σ = 800030822400. Its totient is φ = 89427094848.

The previous prime is 314002411001. The next prime is 314002411027. The reversal of 314002411002 is 200114200413.

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

It is not an unprimeable number, because it can be changed into a prime (314002411001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287284368 + ... + 287285460.

It is an arithmetic number, because the mean of its divisors is an integer number (6250240800).

Almost surely, 2314002411002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314002411002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400015411200).

314002411002 is an abundant number, since it is smaller than the sum of its proper divisors (486028411398).

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

314002411002 is a wasteful number, since it uses less digits than its factorization.

314002411002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 314002411002 its reverse (200114200413), we get a palindrome (514116611415).

The spelling of 314002411002 in words is "three hundred fourteen billion, two million, four hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 827 919 1093 1654 1838 2186 2481 2757 3279 4962 5514 5789 6433 6558 7443 7651 8271 9837 11578 12866 14886 15302 16542 17367 19299 19674 22329 22953 24813 29511 34734 38598 44658 45906 49626 52101 57897 59022 68859 104202 115794 137718 156303 173691 206577 312606 347382 413154 760013 903911 1004467 1520026 1807822 2008934 2280039 2711733 3013401 4560078 5320091 5423466 6026802 6327377 6840117 7031269 8135199 9040203 10640182 12654754 13680234 14062538 15960273 16270398 18080406 18982131 20520351 21093807 24405597 27120609 31920546 37964262 41040702 42187614 47880819 48811194 54241218 56946393 63281421 95761638 113892786 126562842 143642457 170839179 189844263 287284914 341678358 379688526 830694209 1661388418 2492082627 4984165254 5814859463 7476247881 11629718926 14952495762 17444578389 22428743643 34889156778 44857487286 52333735167 104667470334 157001205501 314002411002