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314114211200 = 2752731344667
BaseRepresentation
bin1001001001000101010…
…10100111110110000000
31010000210011022020122002
410210202222213312000
520121301214224300
6400145125403132
731460020512206
oct4444252476600
91100704266562
10314114211200
11111240313059
1250a642694a8
132380bcb887a
14112bb869076
1582868525d5
hex4922aa7d80

314114211200 has 96 divisors (see below), whose sum is σ = 786590439960. Its totient is φ = 123924418560.

The previous prime is 314114211199. The next prime is 314114211241. The reversal of 314114211200 is 2112411413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438734 + ... + 905933.

Almost surely, 2314114211200 is an apocalyptic number.

It is an amenable number.

314114211200 is an abundant number, since it is smaller than the sum of its proper divisors (472476228760).

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

314114211200 is a wasteful number, since it uses less digits than its factorization.

314114211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344764 (or 1344747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 314114211200 its reverse (2112411413), we get a palindrome (316226622613).

The spelling of 314114211200 in words is "three hundred fourteen billion, one hundred fourteen million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 128 146 160 200 292 320 365 400 584 640 730 800 1168 1460 1600 1825 2336 2920 3200 3650 4672 5840 7300 9344 11680 14600 23360 29200 46720 58400 116800 233600 1344667 2689334 5378668 6723335 10757336 13446670 21514672 26893340 33616675 43029344 53786680 67233350 86058688 98160691 107573360 134466700 172117376 196321382 215146720 268933400 392642764 430293440 490803455 537866800 785285528 860586880 981606910 1075733600 1570571056 1963213820 2151467200 2454017275 3141142112 3926427640 4302934400 4908034550 6282284224 7852855280 9816069100 12564568448 15705710560 19632138200 31411421120 39264276400 62822842240 78528552800 157057105600 314114211200