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4101223220240 = 2451741110366683
BaseRepresentation
bin111011101011100011111…
…101000000010000010000
3112112001222022001001220012
4323223203331000100100
51014143301121021430
612420024222534052
7602206064120306
oct73534375002020
915461868031805
104101223220240
111341356653193
12562a17437328
13239988b6c723
14102700a16276
1571a377ba695
hex3bae3f40410

4101223220240 has 160 divisors (see below), whose sum is σ = 10352028427776. Its totient is φ = 1504943390720.

The previous prime is 4101223220209. The next prime is 4101223220261. The reversal of 4101223220240 is 420223221014.

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, 61469939 + ... + 61536621.

Almost surely, 24101223220240 is an apocalyptic number.

4101223220240 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 4101223220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176014213888).

4101223220240 is an abundant number, since it is smaller than the sum of its proper divisors (6250805207536).

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

4101223220240 is a wasteful number, since it uses less digits than its factorization.

4101223220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67857 (or 67851 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 4101223220240 its reverse (420223221014), we get a palindrome (4521446441254).

The spelling of 4101223220240 in words is "four trillion, one hundred one billion, two hundred twenty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1103 1360 1394 1640 2206 2788 3280 3485 4412 5515 5576 6970 8824 11030 11152 13940 17648 18751 22060 27880 37502 44120 45223 55760 66683 75004 88240 90446 93755 133366 150008 180892 187510 226115 266732 300016 333415 361784 375020 452230 533464 666830 723568 750040 768791 904460 1066928 1133611 1333660 1500080 1537582 1808920 2267222 2667320 2734003 3075164 3617840 3843955 4534444 5334640 5468006 5668055 6150328 7687910 9068888 10936012 11336110 12300656 13670015 15375820 18137776 21872024 22672220 27340030 30751640 43744048 45344440 46478051 54680060 61503280 73551349 90688880 92956102 109360120 147102698 185912204 218720240 232390255 294205396 367756745 371824408 464780510 588410792 735513490 743648816 929561020 1176821584 1250372933 1471026980 1859122040 2500745866 2942053960 3015605309 3718244080 5001491732 5884107920 6031210618 6251864665 10002983464 12062421236 12503729330 15078026545 20005966928 24124842472 25007458660 30156053090 48249684944 50014917320 51265290253 60312106180 100029834640 102530580506 120624212360 205061161012 241248424720 256326451265 410122322024 512652902530 820244644048 1025305805060 2050611610120 4101223220240