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11345252240 = 2457210328099
BaseRepresentation
bin10101001000011101…
…01100111110010000
31002021200002112021102
422210032230332100
5141213341032430
65113440043532
7551101024100
oct124416547620
932250075242
1011345252240
1148a210aa23
1222476035a8
1310ba60a80a
14798aa3200
1546603b345
hex2a43acf90

11345252240 has 120 divisors (see below), whose sum is σ = 30983284800. Its totient is φ = 3851898624.

The previous prime is 11345252189. The next prime is 11345252257. The reversal of 11345252240 is 4225254311.

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, 389711 + ... + 417809.

It is an arithmetic number, because the mean of its divisors is an integer number (258194040).

Almost surely, 211345252240 is an apocalyptic number.

11345252240 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 11345252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491642400).

11345252240 is an abundant number, since it is smaller than the sum of its proper divisors (19638032560).

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

11345252240 is a wasteful number, since it uses less digits than its factorization.

11345252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28229 (or 28216 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 11345252240 in words is "eleven billion, three hundred forty-five million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 103 112 140 196 206 245 280 392 412 490 515 560 721 784 824 980 1030 1442 1648 1960 2060 2884 3605 3920 4120 5047 5768 7210 8240 10094 11536 14420 20188 25235 28099 28840 40376 50470 56198 57680 80752 100940 112396 140495 196693 201880 224792 280990 393386 403760 449584 561980 786772 983465 1123960 1376851 1573544 1966930 2247920 2753702 2894197 3147088 3933860 5507404 5788394 6884255 7867720 11014808 11576788 13768510 14470985 15735440 20259379 22029616 23153576 27537020 28941970 40518758 46307152 55074040 57883940 81037516 101296895 110148080 115767880 141815653 162075032 202593790 231535760 283631306 324150064 405187580 567262612 709078265 810375160 1134525224 1418156530 1620750320 2269050448 2836313060 5672626120 11345252240