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310214141143400 = 235213771715461077
BaseRepresentation
bin100011010001000110101101…
…1101011111110100101101000
31111200101011220212112001002202
41012202031123223332211220
5311130022030113042100
63015434224205115332
7122225142414621614
oct10642153353764550
91450334825461082
10310214141143400
118a93109545600a
122a9616b4258b48
13104130b64a8c80
145686631b80344
1525ce5ad4397d5
hex11a235bafe968

310214141143400 has 96 divisors (see below), whose sum is σ = 776829186026040. Its totient is φ = 114525755919360.

The previous prime is 310214141143349. The next prime is 310214141143409. The reversal of 310214141143400 is 4341141412013.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1940398852324 + 308273742291076 = 1392982^2 + 17557726^2 .

It is not an unprimeable number, because it can be changed into a prime (310214141143409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12333662 + ... + 27794738.

Almost surely, 2310214141143400 is an apocalyptic number.

It is an amenable number.

310214141143400 is an abundant number, since it is smaller than the sum of its proper divisors (466615044882640).

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

310214141143400 is a wasteful number, since it uses less digits than its factorization.

310214141143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15468823 (or 15468814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 310214141143400 its reverse (4341141412013), we get a palindrome (314555282555413).

The spelling of 310214141143400 in words is "three hundred ten trillion, two hundred fourteen billion, one hundred forty-one million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7717 15434 30868 38585 61736 77170 100321 154340 192925 200642 308680 385850 401284 501605 771700 802568 1003210 1543400 2006420 2508025 4012840 5016050 10032100 15461077 20064200 30922154 61844308 77305385 123688616 154610770 200994001 309221540 386526925 401988002 618443080 773053850 803976004 1004970005 1546107700 1607952008 2009940010 3092215400 4019880020 5024850025 8039760040 10049700050 20099400100 40198800200 119313131209 238626262418 477252524836 596565656045 954505049672 1193131312090 1551070705717 2386262624180 2982828280225 3102141411434 4772525248360 5965656560450 6204282822868 7755353528585 11931313120900 12408565645736 15510707057170 23862626241800 31021414114340 38776767642925 62042828228680 77553535285850 155107070571700 310214141143400