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11244324240 = 2432574321019
BaseRepresentation
bin10100111100011011…
…01100010110010000
31002000122011212002100
422132031230112100
5141012021333430
65055432520400
7545434115262
oct123615542620
932018155070
1011244324240
114850145256
122219850100
1310a27307c6
1478950db32
1545c251960
hex29e36c590

11244324240 has 120 divisors (see below), whose sum is σ = 37814811840. Its totient is φ = 2994308352.

The previous prime is 11244324211. The next prime is 11244324257. The reversal of 11244324240 is 4242344211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112443242402 (a number of 21 digits) contains 22 as substring.

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, 524451 + ... + 545469.

It is an arithmetic number, because the mean of its divisors is an integer number (315123432).

Almost surely, 211244324240 is an apocalyptic number.

11244324240 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 11244324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18907405920).

11244324240 is an abundant number, since it is smaller than the sum of its proper divisors (26570487600).

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

11244324240 is a wasteful number, since it uses less digits than its factorization.

11244324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21781 (or 21772 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11244324240 its reverse (4242344211), we get a palindrome (15486668451).

The spelling of 11244324240 in words is "eleven billion, two hundred forty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 743 1486 2229 2972 3715 4458 5944 6687 7430 8916 11145 11888 13374 14860 17832 21019 22290 26748 29720 33435 35664 42038 44580 53496 59440 63057 66870 84076 89160 105095 106992 126114 133740 168152 178320 189171 210190 252228 267480 315285 336304 378342 420380 504456 534960 630570 756684 840760 945855 1008912 1261140 1513368 1681520 1891710 2522280 3026736 3783420 5044560 7566840 15133680 15617117 31234234 46851351 62468468 78085585 93702702 124936936 140554053 156171170 187405404 234256755 249873872 281108106 312342340 374810808 468513510 562216212 624684680 702770265 749621616 937027020 1124432424 1249369360 1405540530 1874054040 2248864848 2811081060 3748108080 5622162120 11244324240