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314023003114200 = 23352587891604211
BaseRepresentation
bin100011101100110100010110…
…1100011010100101011011000
31112011212022021000021211002020
41013121220231203110223120
5312124423102244123300
63031512102011534440
7123100261520320422
oct10731505543245330
91464768230254066
10314023003114200
119106a453771296
122b27791845a420
131062b31bc68533
145778b19d63812
1526486d3e848a0
hex11d9a2d8d4ad8

314023003114200 has 96 divisors (see below), whose sum is σ = 975129694580160. Its totient is φ = 83596810729600.

The previous prime is 314023003114127. The next prime is 314023003114229. The reversal of 314023003114200 is 2411300320413.

It is a happy number.

It is a super-2 number, since 2×3140230031142002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 445449906 + ... + 446154305.

It is an arithmetic number, because the mean of its divisors is an integer number (10157600985210).

Almost surely, 2314023003114200 is an apocalyptic number.

314023003114200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314023003114200 is an abundant number, since it is smaller than the sum of its proper divisors (661106691465960).

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

314023003114200 is a wasteful number, since it uses less digits than its factorization.

314023003114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891604817 (or 891604808 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314023003114200 its reverse (2411300320413), we get a palindrome (316434303434613).

The spelling of 314023003114200 in words is "three hundred fourteen trillion, twenty-three billion, three million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 587 600 1174 1761 2348 2935 3522 4696 5870 7044 8805 11740 14088 14675 17610 23480 29350 35220 44025 58700 70440 88050 117400 176100 352200 891604211 1783208422 2674812633 3566416844 4458021055 5349625266 7132833688 8916042110 10699250532 13374063165 17832084220 21398501064 22290105275 26748126330 35664168440 44580210550 53496252660 66870315825 89160421100 106992505320 133740631650 178320842200 267481263300 523371671857 534962526600 1046743343714 1570115015571 2093486687428 2616858359285 3140230031142 4186973374856 5233716718570 6280460062284 7850575077855 10467433437140 12560920124568 13084291796425 15701150155710 20934866874280 26168583592850 31402300311420 39252875389275 52337167185700 62804600622840 78505750778550 104674334371400 157011501557100 314023003114200