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11545342420040 = 23511132063978389
BaseRepresentation
bin1010100000000001110000…
…0010001010010001001000
31111212201112202121222121022
42220000130002022101020
53003124330124420130
640315505044132012
72301060230235302
oct250003402122110
944781482558538
1011545342420040
11375139689a720
121365693997008
1365994b3b3c70
142bcb246c0972
151504c2d187e5
hexa801c08a448

11545342420040 has 128 divisors (see below), whose sum is σ = 30533282035200. Its totient is φ = 3873477227520.

The previous prime is 11545342419997. The next prime is 11545342420109. The reversal of 11545342420040 is 4002424354511.

It is a happy 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, 11311166 + ... + 12289554.

It is an arithmetic number, because the mean of its divisors is an integer number (238541265900).

Almost surely, 211545342420040 is an apocalyptic number.

11545342420040 is a gapful number since it is divisible by the number (10) 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 11545342420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266641017600).

11545342420040 is an abundant number, since it is smaller than the sum of its proper divisors (18987939615160).

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

11545342420040 is a wasteful number, since it uses less digits than its factorization.

11545342420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980487 (or 980483 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 11545342420040 its reverse (4002424354511), we get a palindrome (15547766774551).

The spelling of 11545342420040 in words is "eleven trillion, five hundred forty-five billion, three hundred forty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2063 2860 4126 5720 8252 10315 16504 20630 22693 26819 41260 45386 53638 82520 90772 107276 113465 134095 181544 214552 226930 268190 295009 453860 536380 590018 907720 978389 1072760 1180036 1475045 1956778 2360072 2950090 3913556 4891945 5900180 7827112 9783890 10762279 11800360 12719057 19567780 21524558 25438114 39135560 43049116 50876228 53811395 63595285 86098232 101752456 107622790 127190570 139909627 215245580 254381140 279819254 430491160 508762280 559638508 699548135 1119277016 1399096270 2018416507 2798192540 4036833014 5596385080 8073666028 10092082535 16147332056 20184165070 22202581577 26239414591 40368330140 44405163154 52478829182 80736660280 88810326308 104957658364 111012907885 131197072955 177620652616 209915316728 222025815770 262394145910 288633560501 444051631540 524788291820 577267121002 888103263080 1049576583640 1154534242004 1443167802505 2309068484008 2886335605010 5772671210020 11545342420040