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240040342033140 = 223511488837440163
BaseRepresentation
bin110110100101000010111111…
…010100011001001011110100
31011110220122002011012200122110
4312211002333110121023310
5222430310110030030030
62210305002155331020
7101363225306115315
oct6645027724311364
91143818064180573
10240040342033140
116a5365a0269a80
1222b09514a50a70
13a3c2926732a6c
14433c02bca260c
151cb40008061b0
hexda50bf5192f4

240040342033140 has 96 divisors (see below), whose sum is σ = 733229233583616. Its totient is φ = 58190399821440.

The previous prime is 240040342033139. The next prime is 240040342033157. The reversal of 240040342033140 is 41330243040042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240040342033098 and 240040342033107.

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, 28542699 + ... + 35982861.

It is an arithmetic number, because the mean of its divisors is an integer number (7637804516496).

Almost surely, 2240040342033140 is an apocalyptic number.

240040342033140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240040342033140 is an abundant number, since it is smaller than the sum of its proper divisors (493188891550476).

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

240040342033140 is a wasteful number, since it uses less digits than its factorization.

240040342033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489069 (or 7489067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 240040342033140 its reverse (41330243040042), we get a palindrome (281370585073182).

The spelling of 240040342033140 in words is "two hundred forty trillion, forty billion, three hundred forty-two million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 48883 97766 146649 195532 244415 293298 488830 537713 586596 733245 977660 1075426 1466490 1613139 2150852 2688565 2932980 3226278 5377130 6452556 7440163 8065695 10754260 14880326 16131390 22320489 29760652 32262780 37200815 44640978 74401630 81841793 89281956 111602445 148803260 163683586 223204890 245525379 327367172 409208965 446409780 491050758 818417930 982101516 1227626895 1636835860 2455253790 4910507580 363697487929 727394975858 1091092463787 1454789951716 1818487439645 2182184927574 3636974879290 4000672367219 4364369855148 5455462318935 7273949758580 8001344734438 10910924637870 12002017101657 16002689468876 20003361836095 21821849275740 24004034203314 40006723672190 48008068406628 60010085508285 80013447344380 120020171016570 240040342033140