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44946303920 = 2457271353839
BaseRepresentation
bin101001110111000000…
…100010101110110000
311022000101101210212222
4221313000202232300
51214022223211140
632351551140212
73150545164640
oct516700425660
9138011353788
1044946303920
1118075020421
128864514668
134313a6060b
142265492520
151280d835b5
hexa77022bb0

44946303920 has 160 divisors (see below), whose sum is σ = 120352296960. Its totient is φ = 15291555840.

The previous prime is 44946303881. The next prime is 44946303923. The reversal of 44946303920 is 2930364944.

It is not an unprimeable number, because it can be changed into a prime (44946303923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53570861 + ... + 53571699.

It is an arithmetic number, because the mean of its divisors is an integer number (752201856).

Almost surely, 244946303920 is an apocalyptic number.

44946303920 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 44946303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60176148480).

44946303920 is an abundant number, since it is smaller than the sum of its proper divisors (75405993040).

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

44946303920 is a wasteful number, since it uses less digits than its factorization.

44946303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 44946303920 in words is "forty-four billion, nine hundred forty-six million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 271 280 353 542 560 706 839 1084 1355 1412 1678 1765 1897 2168 2471 2710 2824 3356 3530 3794 4195 4336 4942 5420 5648 5873 6712 7060 7588 8390 9485 9884 10840 11746 12355 13424 14120 15176 16780 18970 19768 21680 23492 24710 28240 29365 30352 33560 37940 39536 46984 49420 58730 67120 75880 93968 95663 98840 117460 151760 191326 197680 227369 234920 296167 382652 454738 469840 478315 592334 669641 765304 909476 956630 1136845 1184668 1339282 1480835 1530608 1591583 1818952 1913260 2073169 2273690 2369336 2678564 2961670 3183166 3348205 3637904 3826520 4146338 4547380 4738672 5357128 5923340 6366332 6696410 7653040 7957915 8292676 9094760 10365845 10714256 11846680 12732664 13392820 15915830 16585352 18189520 20731690 23693360 25465328 26785640 31831660 33170704 41463380 53571280 63663320 80261257 82926760 127326640 160522514 165853520 321045028 401306285 561828799 642090056 802612570 1123657598 1284180112 1605225140 2247315196 2809143995 3210450280 4494630392 5618287990 6420900560 8989260784 11236575980 22473151960 44946303920