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314230011424 = 2572229875117
BaseRepresentation
bin1001001001010011001…
…00010111011000100000
31010001002020012111200021
410210221210113120200
520122020340331144
6400204423403224
731462625012200
oct4445144273040
91101066174607
10314230011424
1111129a71651a
1250a96bb3514
1323829ca2004
14112ccdb0400
158291ac8884
hex4929917620

314230011424 has 72 divisors (see below), whose sum is σ = 722786209740. Its totient is φ = 134081773056.

The previous prime is 314230011409. The next prime is 314230011451. The reversal of 314230011424 is 424110032413.

It can be written as a sum of positive squares in 2 ways, for example, as 308322551824 + 5907459600 = 555268^2 + 76860^2 .

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, 78487 + ... + 796630.

Almost surely, 2314230011424 is an apocalyptic number.

It is an amenable number.

314230011424 is an abundant number, since it is smaller than the sum of its proper divisors (408556198316).

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

314230011424 is a wasteful number, since it uses less digits than its factorization.

314230011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875370 (or 875355 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 314230011424 its reverse (424110032413), we get a palindrome (738340043837).

The spelling of 314230011424 in words is "three hundred fourteen billion, two hundred thirty million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 392 458 784 916 1568 1603 1832 3206 3664 6412 7328 11221 12824 22442 25648 44884 51296 89768 179536 359072 875117 1750234 3500468 6125819 7000936 12251638 14001872 24503276 28003744 42880733 49006552 85761466 98013104 171522932 196026208 200401793 343045864 400803586 686091728 801607172 1372183456 1402812551 1603214344 2805625102 3206428688 5611250204 6412857376 9819687857 11222500408 19639375714 22445000816 39278751428 44890001632 78557502856 157115005712 314230011424