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1144244410320 = 2435112371182803
BaseRepresentation
bin10000101001101010010…
…010000001011111010000
311001101111100201200121110
4100221222102001133100
5122221403032112240
62233354132453320
7145445305003314
oct20515222013720
94041440650543
101144244410320
114012a9159360
1216591917a240
1383b952b561b
143d54b64bb44
151eb6eddac80
hex10a6a4817d0

1144244410320 has 160 divisors (see below), whose sum is σ = 3871279793664. Its totient is φ = 277274073600.

The previous prime is 1144244410303. The next prime is 1144244410367. The reversal of 1144244410320 is 230144424411.

It is a happy number.

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

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, 6168039 + ... + 6350841.

Almost surely, 21144244410320 is an apocalyptic number.

1144244410320 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 1144244410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935639896832).

1144244410320 is an abundant number, since it is smaller than the sum of its proper divisors (2727035383344).

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

1144244410320 is a wasteful number, since it uses less digits than its factorization.

1144244410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185201 (or 185195 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1144244410320 its reverse (230144424411), we get a palindrome (1374388834731).

The spelling of 1144244410320 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2371 2640 4742 7113 9484 11855 14226 18968 23710 26081 28452 35565 37936 47420 52162 56904 71130 78243 94840 104324 113808 130405 142260 156486 182803 189680 208648 260810 284520 312972 365606 391215 417296 521620 548409 569040 625944 731212 782430 914015 1043240 1096818 1251888 1462424 1564860 1828030 2010833 2086480 2193636 2742045 2924848 3129720 3656060 4021666 4387272 5484090 6032499 6259440 7312120 8043332 8774544 10054165 10968180 12064998 14624240 16086664 20108330 21936360 24129996 30162495 32173328 40216660 43872720 48259992 60324990 80433320 96519984 120649980 160866640 241299960 433425913 482599920 866851826 1300277739 1733703652 2167129565 2600555478 3467407304 4334259130 4767685043 5201110956 6501388695 6934814608 8668518260 9535370086 10402221912 13002777390 14303055129 17337036520 19070740172 20804443824 23838425215 26005554780 28606110258 34674073040 38141480344 47676850430 52011109560 57212220516 71515275645 76282960688 95353700860 104022219120 114424441032 143030551290 190707401720 228848882064 286061102580 381414803440 572122205160 1144244410320