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44450812240 = 24561151179337
BaseRepresentation
bin101001011001011110…
…011001000101010000
311020201212001020002021
4221121132121011100
51212013401442430
632230451101224
73132350445532
oct513136310520
9136655036067
1044450812240
111794036316a
1287465a1814
1342651c6583
142219751852
15125260b07a
hexa59799150

44450812240 has 160 divisors (see below), whose sum is σ = 106644245760. Its totient is φ = 17224704000.

The previous prime is 44450812199. The next prime is 44450812291. The reversal of 44450812240 is 4221805444.

It is a junction number, because it is equal to n+sod(n) for n = 44450812196 and 44450812205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131901352 + ... + 131901688.

It is an arithmetic number, because the mean of its divisors is an integer number (666526536).

Almost surely, 244450812240 is an apocalyptic number.

44450812240 is a gapful number since it is divisible by the number (40) 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 44450812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53322122880).

44450812240 is an abundant number, since it is smaller than the sum of its proper divisors (62193433520).

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

44450812240 is a wasteful number, since it uses less digits than its factorization.

44450812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 44450812240 in words is "forty-four billion, four hundred fifty million, eight hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 151 179 244 302 305 337 358 488 604 610 674 716 755 895 976 1208 1220 1348 1432 1510 1685 1790 2416 2440 2696 2864 3020 3370 3580 4880 5392 6040 6740 7160 9211 10919 12080 13480 14320 18422 20557 21838 26960 27029 36844 41114 43676 46055 50887 54058 54595 60323 73688 82228 87352 92110 101774 102785 108116 109190 120646 135145 147376 164456 174704 184220 203548 205570 216232 218380 241292 254435 270290 301615 328912 368440 407096 411140 432464 436760 482584 508870 540580 603230 736880 814192 822280 873520 965168 1017740 1081160 1206460 1644560 1648769 2035480 2162320 2412920 3104107 3297538 3679703 4070960 4825840 6208214 6595076 7359406 8243845 9108773 12416428 13190152 14718812 15520535 16487690 18217546 18398515 24832856 26380304 29437624 31041070 32975380 36435092 36797030 45543865 49665712 58875248 62082140 65950760 72870184 73594060 91087730 124164280 131901520 145740368 147188120 182175460 248328560 294376240 364350920 555635153 728701840 1111270306 2222540612 2778175765 4445081224 5556351530 8890162448 11112703060 22225406120 44450812240