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41242045140 = 223254138314591
BaseRepresentation
bin100110011010001101…
…111010101011010100
310221110020011222010100
4212122031322223110
51133430430421030
630540224054100
72660005412442
oct463215725324
9127406158110
1041242045140
1116544071a2a
127baba64330
133b734a840a
141dd3523b92
151115a7a360
hex99a37aad4

41242045140 has 144 divisors (see below), whose sum is σ = 128495517696. Its totient is φ = 10700889600.

The previous prime is 41242045109. The next prime is 41242045211. The reversal of 41242045140 is 4154024214.

41242045140 is a `hidden beast` number, since 4 + 124 + 20 + 4 + 514 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819245 + ... + 2833835.

It is an arithmetic number, because the mean of its divisors is an integer number (892329984).

Almost surely, 241242045140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41242045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64247758848).

41242045140 is an abundant number, since it is smaller than the sum of its proper divisors (87253472556).

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

41242045140 is a wasteful number, since it uses less digits than its factorization.

41242045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15025 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41242045140 its reverse (4154024214), we get a palindrome (45396069354).

The spelling of 41242045140 in words is "forty-one billion, two hundred forty-two million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 383 410 492 615 738 766 820 1149 1230 1476 1532 1845 1915 2298 2460 3447 3690 3830 4596 5745 6894 7380 7660 11490 13788 14591 15703 17235 22980 29182 31406 34470 43773 47109 58364 62812 68940 72955 78515 87546 94218 131319 141327 145910 157030 175092 188436 218865 235545 262638 282654 291820 314060 437730 471090 525276 565308 598231 656595 706635 875460 942180 1196462 1313190 1413270 1794693 2392924 2626380 2826540 2991155 3589386 5384079 5588353 5982310 7178772 8973465 10768158 11176706 11964620 16765059 17946930 21536316 22353412 26920395 27941765 33530118 35893860 50295177 53840790 55883530 67060236 83825295 100590354 107681580 111767060 167650590 201180708 229122473 251475885 335301180 458244946 502951770 687367419 916489892 1005903540 1145612365 1374734838 2062102257 2291224730 2749469676 3436837095 4124204514 4582449460 6873674190 8248409028 10310511285 13747348380 20621022570 41242045140