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11410444124240 = 2457431672837459
BaseRepresentation
bin1010011000001011001101…
…1110000000000001010000
31111101211100110200112100112
42212002303132000001100
52443422042143433430
640133515145340452
72255243304524210
oct246026336000120
944354313615315
1011410444124240
1136aa162269447
121343506797728
1364a00076cc65
142b63a886a240
1514bc29e3d195
hexa60b3780050

11410444124240 has 160 divisors (see below), whose sum is σ = 31210062428160. Its totient is φ = 3798289377792.

The previous prime is 11410444124221. The next prime is 11410444124249. The reversal of 11410444124240 is 4242144401411.

It is a super-2 number, since 2×114104441242402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11410444124197 and 11410444124206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11410444124249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602631 + ... + 5440089.

It is an arithmetic number, because the mean of its divisors is an integer number (195062890176).

Almost surely, 211410444124240 is an apocalyptic number.

11410444124240 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 11410444124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605031214080).

11410444124240 is an abundant number, since it is smaller than the sum of its proper divisors (19799618303920).

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

11410444124240 is a wasteful number, since it uses less digits than its factorization.

11410444124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837689 (or 2837683 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 11410444124240 its reverse (4242144401411), we get a palindrome (15652588525651).

The spelling of 11410444124240 in words is "eleven trillion, four hundred ten billion, four hundred forty-four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 167 172 215 280 301 334 344 430 560 602 668 688 835 860 1169 1204 1336 1505 1670 1720 2338 2408 2672 3010 3340 3440 4676 4816 5845 6020 6680 7181 9352 11690 12040 13360 14362 18704 23380 24080 28724 35905 46760 50267 57448 71810 93520 100534 114896 143620 201068 251335 287240 402136 502670 574480 804272 1005340 2010680 2837459 4021360 5674918 11349836 14187295 19862213 22699672 28374590 39724426 45399344 56749180 79448852 99311065 113498360 122010737 158897704 198622130 226996720 244021474 317795408 397244260 473855653 488042948 610053685 794488520 854075159 947711306 976085896 1220107370 1588977040 1708150318 1895422612 1952171792 2369278265 2440214740 3316989571 3416300636 3790845224 4270375795 4738556530 4880429480 6633979142 6832601272 7581690448 8540751590 9477113060 9760858960 13267958284 13665202544 16584947855 17081503180 18954226120 20375793079 26535916568 33169895710 34163006360 37908452240 40751586158 53071833136 66339791420 68326012720 81503172316 101878965395 132679582840 142630551553 163006344632 203757930790 265359165680 285261103106 326012689264 407515861580 570522206212 713152757765 815031723160 1141044412424 1426305515530 1630063446320 2282088824848 2852611031060 5705222062120 11410444124240