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41033131440 = 2435758741609
BaseRepresentation
bin100110001101110000…
…111110010110110000
310220220200002001101220
4212031300332112300
51133013440201230
630503402225040
72651560601550
oct461560762660
9126820061356
1041033131440
1116447150a84
127b51ab5180
133b3c11cb42
141db38a1160
15110255ed10
hex98dc3e5b0

41033131440 has 160 divisors (see below), whose sum is σ = 145625679360. Its totient is φ = 9362798592.

The previous prime is 41033131427. The next prime is 41033131471. The reversal of 41033131440 is 4413133014.

41033131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41033131440.

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, 965356 + ... + 1006964.

It is an arithmetic number, because the mean of its divisors is an integer number (910160496).

Almost surely, 241033131440 is an apocalyptic number.

41033131440 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 41033131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72812839680).

41033131440 is an abundant number, since it is smaller than the sum of its proper divisors (104592547920).

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

41033131440 is a wasteful number, since it uses less digits than its factorization.

41033131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42219 (or 42213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41033131440 its reverse (4413133014), we get a palindrome (45446264454).

The spelling of 41033131440 in words is "forty-one billion, thirty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 587 840 1174 1680 1761 2348 2935 3522 4109 4696 5870 7044 8218 8805 9392 11740 12327 14088 16436 17610 20545 23480 24654 28176 32872 35220 41090 41609 46960 49308 61635 65744 70440 82180 83218 98616 123270 124827 140880 164360 166436 197232 208045 246540 249654 291263 328720 332872 416090 493080 499308 582526 624135 665744 832180 873789 986160 998616 1165052 1248270 1456315 1664360 1747578 1997232 2330104 2496540 2912630 3328720 3495156 4368945 4660208 4993080 5825260 6990312 8737890 9986160 11650520 13980624 17475780 23301040 24424483 34951560 48848966 69903120 73273449 97697932 122122415 146546898 170971381 195395864 244244830 293093796 341942762 366367245 390791728 488489660 512914143 586187592 683885524 732734490 854856905 976979320 1025828286 1172375184 1367771048 1465468980 1709713810 1953958640 2051656572 2564570715 2735542096 2930937960 3419427620 4103313144 5129141430 5861875920 6838855240 8206626288 10258282860 13677710480 20516565720 41033131440