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11324512240 = 2451921912053
BaseRepresentation
bin10101000101111111…
…00101011111110000
31002020020001211100021
422202333211133300
5141143033342430
65111415333224
7550426523446
oct124277453760
932206054307
1011324512240
114891434728
122240681214
1310b6228622
14796024b96
154642e107a
hex2a2fe57f0

11324512240 has 120 divisors (see below), whose sum is σ = 27947282688. Its totient is φ = 4266846720.

The previous prime is 11324512237. The next prime is 11324512247. The reversal of 11324512240 is 4221542311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324512247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5515054 + ... + 5517106.

Almost surely, 211324512240 is an apocalyptic number.

11324512240 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 11324512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973641344).

11324512240 is an abundant number, since it is smaller than the sum of its proper divisors (16622770448).

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

11324512240 is a wasteful number, since it uses less digits than its factorization.

11324512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 11324512240 in words is "eleven billion, three hundred twenty-four million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 191 304 361 380 382 722 760 764 955 1444 1520 1528 1805 1910 2053 2888 3056 3610 3629 3820 4106 5776 7220 7258 7640 8212 10265 14440 14516 15280 16424 18145 20530 28880 29032 32848 36290 39007 41060 58064 68951 72580 78014 82120 137902 145160 156028 164240 195035 275804 290320 312056 344755 390070 392123 551608 624112 689510 741133 780140 784246 1103216 1379020 1482266 1560280 1568492 1960615 2758040 2964532 3120560 3136984 3705665 3921230 5516080 5929064 6273968 7411330 7450337 7842460 11858128 14822660 14900674 15684920 29645320 29801348 31369840 37251685 59290640 59602696 74503370 119205392 141556403 149006740 283112806 298013480 566225612 596026960 707782015 1132451224 1415564030 2264902448 2831128060 5662256120 11324512240