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4202214143320 = 2354791915231597
BaseRepresentation
bin111101001001100111011…
…110110011010101011000
3112212201122112021112001201
4331021213132303111120
51022322113310041240
612534245344523544
7612412532603344
oct75114736632530
915781575245051
104202214143320
111380170372486
1257a5010205b4
13246361a5b98b
14107561500624
15744989e1d9a
hex3d2677b3558

4202214143320 has 128 divisors (see below), whose sum is σ = 9679062988800. Its totient is φ = 1641224664576.

The previous prime is 4202214143311. The next prime is 4202214143371. The reversal of 4202214143320 is 233414122024.

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, 2631316762 + ... + 2631318358.

It is an arithmetic number, because the mean of its divisors is an integer number (75617679600).

Almost surely, 24202214143320 is an apocalyptic number.

4202214143320 is a gapful number since it is divisible by the number (40) 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 4202214143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839531494400).

4202214143320 is an abundant number, since it is smaller than the sum of its proper divisors (5476848845480).

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

4202214143320 is a wasteful number, since it uses less digits than its factorization.

4202214143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4202214143320 its reverse (233414122024), we get a palindrome (4435628265344).

The spelling of 4202214143320 in words is "four trillion, two hundred two billion, two hundred fourteen million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 919 940 1523 1597 1838 1880 3046 3194 3676 4595 6092 6388 7352 7615 7985 9190 12184 12776 15230 15970 18380 30460 31940 36760 43193 60920 63880 71581 75059 86386 143162 150118 172772 215965 286324 300236 345544 357905 375295 431930 572648 600472 715810 750590 863860 1399637 1431620 1467643 1501180 1727720 2432231 2799274 2863240 2935286 3002360 4864462 5598548 5870572 6998185 7338215 9728924 11197096 11741144 12161155 13996370 14676430 19457848 24322310 27992740 29352860 48644620 55985480 58705720 65782939 68979221 97289240 114314857 131565878 137958442 228629714 263131756 275916884 328914695 344896105 457259428 526263512 551833768 571574285 657829390 689792210 914518856 1143148570 1315658780 1379584420 2235220289 2286297140 2631317560 2759168840 4470440578 4572594280 8940881156 11176101445 17881762312 22352202890 44704405780 89408811560 105055353583 210110707166 420221414332 525276767915 840442828664 1050553535830 2101107071660 4202214143320