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41003014000 = 2453131792767
BaseRepresentation
bin100110001011111110…
…000101011101110000
310220211120101221001011
4212023332011131300
51132433232422000
630500404520304
72651043603604
oct461376053560
9126746357034
1041003014000
1116431150333
127b439b0094
133b35b06580
141dad8a1504
1510eeab12ba
hex98bf85770

41003014000 has 160 divisors (see below), whose sum is σ = 113053764096. Its totient is φ = 14248857600.

The previous prime is 41003013971. The next prime is 41003014007. The reversal of 41003014000 is 41030014.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41003014007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 395617 + ... + 488383.

Almost surely, 241003014000 is an apocalyptic number.

41003014000 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 41003014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526882048).

41003014000 is an abundant number, since it is smaller than the sum of its proper divisors (72050750096).

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

41003014000 is a wasteful number, since it uses less digits than its factorization.

41003014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92820 (or 92804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 41003014000 its reverse (41030014), we get a palindrome (41044044014).

The spelling of 41003014000 in words is "forty-one billion, three million, fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 125 130 136 170 200 208 221 250 260 272 325 340 400 425 442 500 520 650 680 850 884 1000 1040 1105 1300 1360 1625 1700 1768 2000 2125 2210 2600 3250 3400 3536 4250 4420 5200 5525 6500 6800 8500 8840 11050 13000 17000 17680 22100 26000 27625 34000 44200 55250 88400 92767 110500 185534 221000 371068 442000 463835 742136 927670 1205971 1484272 1577039 1855340 2319175 2411942 3154078 3710680 4638350 4823884 6029855 6308156 7421360 7885195 9276700 9647768 11595875 12059710 12616312 15770390 18553400 19295536 20501507 23191750 24119420 25232624 30149275 31540780 37106800 39425975 41003014 46383500 48238840 60298550 63081560 78851950 82006028 92767000 96477680 102507535 120597100 126163120 150746375 157703900 164012056 185534000 197129875 205015070 241194200 301492750 315407800 328024112 394259750 410030140 482388400 512537675 602985500 630815600 788519500 820060280 1025075350 1205971000 1577039000 1640120560 2050150700 2411942000 2562688375 3154078000 4100301400 5125376750 8200602800 10250753500 20501507000 41003014000