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11040045503200 = 255272385714639
BaseRepresentation
bin1010000010100111010111…
…1111011001001011100000
31110002102021202100000110121
42200221311333121023200
52421340003122100300
635251421001410024
72216421422302450
oct240516577311340
943072252300417
1011040045503200
1135770699671aa
1212a3774a99914
136210c1a48c8c
142a24abbc9d60
1514229c17d81a
hexa0a75fd92e0

11040045503200 has 144 divisors (see below), whose sum is σ = 32140932848640. Its totient is φ = 3620586309120.

The previous prime is 11040045503189. The next prime is 11040045503237. The reversal of 11040045503200 is 230554004011.

It is a happy number.

11040045503200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 42728520 + ... + 42986119.

It is an arithmetic number, because the mean of its divisors is an integer number (223200922560).

Almost surely, 211040045503200 is an apocalyptic number.

11040045503200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11040045503200 is an abundant number, since it is smaller than the sum of its proper divisors (21100887345440).

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

11040045503200 is a wasteful number, since it uses less digits than its factorization.

11040045503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85714689 (or 85714676 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 11040045503200 its reverse (230554004011), we get a palindrome (11270599507211).

The spelling of 11040045503200 in words is "eleven trillion, forty billion, forty-five million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 70 80 92 100 112 115 140 160 161 175 184 200 224 230 280 322 350 368 400 460 560 575 644 700 736 800 805 920 1120 1150 1288 1400 1610 1840 2300 2576 2800 3220 3680 4025 4600 5152 5600 6440 8050 9200 12880 16100 18400 25760 32200 64400 128800 85714639 171429278 342858556 428573195 600002473 685717112 857146390 1200004946 1371434224 1714292780 1971436697 2142865975 2400009892 2742868448 3000012365 3428585560 3942873394 4285731950 4800019784 6000024730 6857171120 7885746788 8571463900 9600039568 9857183485 12000049460 13714342240 13800056879 15000061825 15771493576 17142927800 19200079136 19714366970 24000098920 27600113758 30000123650 31542987152 34285855600 39428733940 48000197840 49285917425 55200227516 60000247300 63085974304 68571711200 69000284395 78857467880 96000395680 98571834850 110400455032 120000494600 138000568790 157714935760 197143669700 220800910064 240000989200 276001137580 315429871520 345001421975 394287339400 441601820128 480001978400 552002275160 690002843950 788574678800 1104004550320 1380005687900 1577149357600 2208009100640 2760011375800 5520022751600 11040045503200