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314343043554000 = 24353110714732229
BaseRepresentation
bin100011101111001001011000…
…1011100101101101011010000
31112012222220100011211200001110
41013132102301130231223100
5312200144023122212000
63032315111201133320
7123132351441216216
oct10736226134555320
91465886304750043
10314343043554000
11911831551a862a
122b30995532a240
1310652563960836
14578a3da8b6cb6
152651bb5beb850
hex11de4b172dad0

314343043554000 has 160 divisors (see below), whose sum is σ = 1013533726832640. Its totient is φ = 83817222336000.

The previous prime is 314343043553971. The next prime is 314343043554017. The reversal of 314343043554000 is 455340343413.

It is a self number, because there is not a number n which added to its sum of digits gives 314343043554000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64059886 + ... + 68792114.

It is an arithmetic number, because the mean of its divisors is an integer number (6334585792704).

Almost surely, 2314343043554000 is an apocalyptic number.

314343043554000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314343043554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506766863416320).

314343043554000 is an abundant number, since it is smaller than the sum of its proper divisors (699190683278640).

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

314343043554000 is a wasteful number, since it uses less digits than its factorization.

314343043554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743326 (or 4743310 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 314343043554000 its reverse (455340343413), we get a palindrome (314798383897413).

The spelling of 314343043554000 in words is "three hundred fourteen trillion, three hundred forty-three billion, forty-three million, five hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 11071 22142 33213 44284 55355 66426 88568 110710 132852 166065 177136 221420 265704 276775 332130 442840 531408 553550 664260 830325 885680 1107100 1328520 1383875 1660650 2214200 2657040 2767750 3321300 4151625 4428400 4732229 5535500 6642600 8303250 9464458 11071000 13285200 14196687 16606500 18928916 22142000 23661145 28393374 33213000 37857832 47322290 56786748 66426000 70983435 75715664 94644580 113573496 118305725 141966870 189289160 227146992 236611450 283933740 354917175 378578320 473222900 567867480 591528625 709834350 946445800 1135734960 1183057250 1419668700 1774585875 1892891600 2366114500 2839337400 3549171750 4732229000 5678674800 7098343500 9464458000 14196687000 28393374000 52390507259 104781014518 157171521777 209562029036 261952536295 314343043554 419124058072 523905072590 628686087108 785857608885 838248116144 1047810145180 1257372174216 1309762681475 1571715217770 2095620290360 2514744348432 2619525362950 3143430435540 3929288044425 4191240580720 5239050725900 6286860871080 6548813407375 7858576088850 10478101451800 12573721742160 13097626814750 15717152177700 19646440222125 20956202903600 26195253629500 31434304355400 39292880444250 52390507259000 62868608710800 78585760888500 104781014518000 157171521777000 314343043554000