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23424365440 = 27577173643
BaseRepresentation
bin10101110100001100…
…110111001110000000
32020110111002001112101
4111310030313032000
5340433114143230
614432213240144
71456322551420
oct256414671600
966414061471
1023424365440
119a30497503
124658933054
132293c81b88
1411c2dd6480
159216d7aca
hex574337380

23424365440 has 128 divisors (see below), whose sum is σ = 64900984320. Its totient is φ = 7917987840.

The previous prime is 23424365429. The next prime is 23424365477. The reversal of 23424365440 is 4456342432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23424365440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281259 + ... + 354901.

It is an arithmetic number, because the mean of its divisors is an integer number (507038940).

Almost surely, 223424365440 is an apocalyptic number.

23424365440 is a gapful number since it is divisible by the number (20) 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 23424365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32450492160).

23424365440 is an abundant number, since it is smaller than the sum of its proper divisors (41476618880).

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

23424365440 is an equidigital number, since it uses as much as digits as its factorization.

23424365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73740 (or 73728 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

The spelling of 23424365440 in words is "twenty-three billion, four hundred twenty-four million, three hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 128 140 142 160 224 280 284 320 355 448 497 560 568 640 710 896 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4480 4544 4970 5680 7952 9088 9940 11360 15904 19880 22720 31808 39760 45440 63616 73643 79520 147286 159040 294572 318080 368215 515501 589144 736430 1031002 1178288 1472860 2062004 2356576 2577505 2945720 4124008 4713152 5155010 5228653 5891440 8248016 9426304 10310020 10457306 11782880 16496032 20620040 20914612 23565760 26143265 32992064 36600571 41240080 41829224 47131520 52286530 65984128 73201142 82480160 83658448 104573060 146402284 164960320 167316896 183002855 209146120 292804568 329920640 334633792 366005710 418292240 585609136 669267584 732011420 836584480 1171218272 1464022840 1673168960 2342436544 2928045680 3346337920 4684873088 5856091360 11712182720 23424365440