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312342242043220 = 225235471373904097
BaseRepresentation
bin100011100000100101101100…
…0011000101010010101010100
31111221220121220212210211222221
41013001023120120222111110
5311414403402430340340
63024144013425032124
7122534660634043054
oct10701133030522524
91457817825724887
10312342242043220
1190581667984944
122b046028a85644
1310538993337a3c
14571b6337c7564
152619b1269944a
hex11c12d862a554

312342242043220 has 96 divisors (see below), whose sum is σ = 686188336474368. Its totient is φ = 119199372644352.

The previous prime is 312342242043193. The next prime is 312342242043259. The reversal of 312342242043220 is 22340242243213.

It is a happy number.

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, 345022212 + ... + 345926308.

It is an arithmetic number, because the mean of its divisors is an integer number (7147795171608).

Almost surely, 2312342242043220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312342242043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343094168237184).

312342242043220 is an abundant number, since it is smaller than the sum of its proper divisors (373846094431148).

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

312342242043220 is a wasteful number, since it uses less digits than its factorization.

312342242043220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906049 (or 906047 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 312342242043220 its reverse (22340242243213), we get a palindrome (334682484286433).

The spelling of 312342242043220 in words is "three hundred twelve trillion, three hundred forty-two billion, two hundred forty-two million, forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 547 1094 1373 2188 2735 2746 5470 5492 6865 10940 12581 13730 25162 27460 31579 50324 62905 63158 125810 126316 157895 251620 315790 631580 751031 904097 1502062 1808194 3004124 3616388 3755155 4520485 7510310 9040970 15020620 17273713 18081940 20794231 34547426 41588462 69094852 83176924 86368565 103971155 172737130 207942310 345474260 415884620 494541059 989082118 1241325181 1978164236 2472705295 2482650362 4945410590 4965300724 6206625905 9890821180 11374444357 12413251810 22748888714 24826503620 28550479163 45497777428 56872221785 57100958326 113744443570 114201916652 142752395815 227488887140 285504791630 571009583260 679004874007 1358009748014 2716019496028 3395024370035 6790048740070 13580097480140 15617112102161 31234224204322 62468448408644 78085560510805 156171121021610 312342242043220