Search a number
-
+
144120422031400 = 235217120135294221
BaseRepresentation
bin100000110001001110100110…
…100011110110000000101000
3200220021210000000020021021101
4200301032212203312000220
5122342232111020001100
61230304001411051144
742233233260465643
oct4061164643660050
9626253000207241
10144120422031400
1141a15145030411
12141b76058a0ab4
136255660c799c9
142783673a30a5a
15119dd8251386a
hex8313a68f6028

144120422031400 has 96 divisors (see below), whose sum is σ = 355085991044280. Its totient is φ = 54211921920000.

The previous prime is 144120422031359. The next prime is 144120422031401. The reversal of 144120422031400 is 4130224021441.

It can be written as a sum of positive squares in 12 ways, for example, as 21205638181764 + 122914783849636 = 4604958^2 + 11086694^2 .

It is not an unprimeable number, because it can be changed into a prime (144120422031401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13563711 + ... + 21730510.

Almost surely, 2144120422031400 is an apocalyptic number.

144120422031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120422031400 is an abundant number, since it is smaller than the sum of its proper divisors (210965569012880).

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

144120422031400 is a wasteful number, since it uses less digits than its factorization.

144120422031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35295455 (or 35295446 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144120422031400 its reverse (4130224021441), we get a palindrome (148250646052841).

The spelling of 144120422031400 in words is "one hundred forty-four trillion, one hundred twenty billion, four hundred twenty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1201 1700 2402 3400 4804 6005 9608 12010 20417 24020 30025 40834 48040 60050 81668 102085 120100 163336 204170 240200 408340 510425 816680 1020850 2041700 4083400 35294221 70588442 141176884 176471105 282353768 352942210 600001757 705884420 882355525 1200003514 1411768840 1764711050 2400007028 3000008785 3529422100 4800014056 6000017570 7058844200 12000035140 15000043925 24000070280 30000087850 42388359421 60000175700 84776718842 120000351400 169553437684 211941797105 339106875368 423883594210 720602110157 847767188420 1059708985525 1441204220314 1695534376840 2119417971050 2882408440628 3603010550785 4238835942100 5764816881256 7206021101570 8477671884200 14412042203140 18015052753925 28824084406280 36030105507850 72060211015700 144120422031400