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312344001420 = 223511835701789
BaseRepresentation
bin1001000101110010010…
…01110011101110001100
31002212012210100021022220
410202321021303232030
520104140031021140
6355253331535340
731365114130563
oct4427111635614
91085183307286
10312344001420
11110512056270
125064b45a550
13235b9329169
1411190708bda
1581d1230bd0
hex48b9273b8c

312344001420 has 96 divisors (see below), whose sum is σ = 965563925760. Its totient is φ = 74807458560.

The previous prime is 312344001353. The next prime is 312344001479. The reversal of 312344001420 is 24100443213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2796115 + ... + 2905674.

It is an arithmetic number, because the mean of its divisors is an integer number (10057957560).

Almost surely, 2312344001420 is an apocalyptic number.

312344001420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312344001420 is an abundant number, since it is smaller than the sum of its proper divisors (653219924340).

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

312344001420 is a wasteful number, since it uses less digits than its factorization.

312344001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701895 (or 5701893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312344001420 its reverse (24100443213), we get a palindrome (336444444633).

The spelling of 312344001420 in words is "three hundred twelve billion, three hundred forty-four million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 9130 10956 13695 18260 27390 54780 5701789 11403578 17105367 22807156 28508945 34210734 57017890 62719679 68421468 85526835 114035780 125439358 171053670 188159037 250878716 313598395 342107340 376318074 473248487 627196790 752636148 940795185 946496974 1254393580 1419745461 1881590370 1892993948 2366242435 2839490922 3763180740 4732484870 5205733357 5678981844 7098727305 9464969740 10411466714 14197454610 15617200071 20822933428 26028666785 28394909220 31234400142 52057333570 62468800284 78086000355 104114667140 156172000710 312344001420