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11434223404240 = 2457131792390299
BaseRepresentation
bin1010011001100011110011…
…0100110000010011010000
31111111002201200121010010121
42212120330310300103100
52444314242142413430
640152450522040024
72260044500212150
oct246307464602320
944432650533117
1011434223404240
11370925502746a
121348042349014
1364c320108c40
142b75c2a4c760
1514c66c880a7a
hexa663cd304d0

11434223404240 has 160 divisors (see below), whose sum is σ = 34644145132800. Its totient is φ = 3405875945472.

The previous prime is 11434223404229. The next prime is 11434223404249. The reversal of 11434223404240 is 4240432243411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11434223404196 and 11434223404205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434223404249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46071390 + ... + 46318909.

It is an arithmetic number, because the mean of its divisors is an integer number (216525907080).

Almost surely, 211434223404240 is an apocalyptic number.

11434223404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434223404240 is an abundant number, since it is smaller than the sum of its proper divisors (23209921728560).

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

11434223404240 is a wasteful number, since it uses less digits than its factorization.

11434223404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92390349 (or 92390343 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 11434223404240 its reverse (4240432243411), we get a palindrome (15674655647651).

The spelling of 11434223404240 in words is "eleven trillion, four hundred thirty-four billion, two hundred twenty-three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 340 364 442 455 476 520 560 595 680 728 884 910 952 1040 1105 1190 1360 1456 1547 1768 1820 1904 2210 2380 3094 3536 3640 4420 4760 6188 7280 7735 8840 9520 12376 15470 17680 24752 30940 61880 123760 92390299 184780598 369561196 461951495 646732093 739122392 923902990 1201073887 1293464186 1478244784 1570635083 1847805980 2402147774 2586928372 3141270166 3233660465 3695611960 4804295548 5173856744 6005369435 6282540332 6467320930 7391223920 7853175415 8407517209 9608591096 10347713488 10994445581 12010738870 12565080664 12934641860 15706350830 16815034418 19217182192 20418256079 21988891162 24021477740 25130161328 25869283720 31412701660 33630068836 40836512158 42037586045 43977782324 48042955480 51738567440 54972227905 62825403320 67260137672 81673024316 84075172090 87955564648 96085910960 102091280395 109944455810 125650806640 134520275344 142927792553 163346048632 168150344180 175911129296 204182560790 219888911620 285855585106 326692097264 336300688360 408365121580 439777823240 571711170212 672601376720 714638962765 816730243160 879555646480 1143422340424 1429277925530 1633460486320 2286844680848 2858555851060 5717111702120 11434223404240