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11454310040 = 2352325211039
BaseRepresentation
bin10101010101011101…
…01110011010011000
31002120021022020110012
422222232232122120
5141424300410130
65132333341052
7553564012625
oct125256563230
932507266405
1011454310040
114948728738
122278037788
1311070a3064
147a937134c
154708ce995
hex2aabae698

11454310040 has 96 divisors (see below), whose sum is σ = 27019137600. Its totient is φ = 4369896960.

The previous prime is 11454310019. The next prime is 11454310079. The reversal of 11454310040 is 4001345411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11454309988 and 11454310015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11023841 + ... + 11024879.

It is an arithmetic number, because the mean of its divisors is an integer number (281449350).

Almost surely, 211454310040 is an apocalyptic number.

11454310040 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 11454310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509568800).

11454310040 is an abundant number, since it is smaller than the sum of its proper divisors (15564827560).

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

11454310040 is a wasteful number, since it uses less digits than its factorization.

11454310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11454310040 its reverse (4001345411), we get a palindrome (15455655451).

The spelling of 11454310040 in words is "eleven billion, four hundred fifty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 521 529 920 1039 1042 1058 2078 2084 2116 2605 2645 4156 4168 4232 5195 5210 5290 8312 10390 10420 10580 11983 20780 20840 21160 23897 23966 41560 47794 47932 59915 95588 95864 119485 119830 191176 238970 239660 275609 477940 479320 541319 549631 551218 955880 1082638 1099262 1102436 1378045 2165276 2198524 2204872 2706595 2748155 2756090 4330552 4397048 5413190 5496310 5512180 10826380 10992620 11024360 12450337 21652760 21985240 24900674 49801348 62251685 99602696 124503370 249006740 286357751 498013480 572715502 1145431004 1431788755 2290862008 2863577510 5727155020 11454310040