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1144240135000 = 23541961197453
BaseRepresentation
bin10000101001101010000…
…001101101101101011000
311001101111001200110222021
4100221222001231231120
5122221400433310000
62233353501104224
7145445223445654
oct20515201555530
94041431613867
101144240135000
114012a67a9236
12165917858074
1383b94449651
143d54ac57a64
151eb6e84411a
hex10a6a06db58

1144240135000 has 160 divisors (see below), whose sum is σ = 2868335276400. Its totient is φ = 426496320000.

The previous prime is 1144240134997. The next prime is 1144240135033. The reversal of 1144240135000 is 5310424411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5696274 + ... + 5893726.

Almost surely, 21144240135000 is an apocalyptic number.

1144240135000 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 1144240135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434167638200).

1144240135000 is an abundant number, since it is smaller than the sum of its proper divisors (1724095141400).

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

1144240135000 is a wasteful number, since it uses less digits than its factorization.

1144240135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197559 (or 197540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1144240135000 its reverse (5310424411), we get a palindrome (1149550559411).

The spelling of 1144240135000 in words is "one trillion, one hundred forty-four billion, two hundred forty million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 125 152 190 200 244 250 305 380 475 488 500 610 625 760 950 1000 1159 1220 1250 1525 1900 2318 2375 2440 2500 3050 3800 4636 4750 5000 5795 6100 7625 9272 9500 11590 11875 12200 15250 19000 23180 23750 28975 30500 38125 46360 47500 57950 61000 76250 95000 115900 144875 152500 197453 231800 289750 305000 394906 579500 724375 789812 987265 1159000 1448750 1579624 1974530 2897500 3751607 3949060 4936325 5795000 7503214 7898120 9872650 12044633 15006428 18758035 19745300 24089266 24681625 30012856 37516070 39490600 48178532 49363250 60223165 75032140 93790175 96357064 98726500 120446330 123408125 150064280 187580350 197453000 228848027 240892660 246816250 301115825 375160700 457696054 468950875 481785320 493632500 602231650 750321400 915392108 937901750 987265000 1144240135 1204463300 1505579125 1830784216 1875803500 2288480270 2344754375 2408926600 3011158250 3751607000 4576960540 4689508750 5721200675 6022316500 7527895625 9153921080 9379017500 11442401350 12044633000 15055791250 18758035000 22884802700 28606003375 30111582500 45769605400 57212006750 60223165000 114424013500 143030016875 228848027000 286060033750 572120067500 1144240135000