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41738060240 = 2453152132303
BaseRepresentation
bin100110110111110010…
…000100000111010000
310222201210112010220222
4212313302010013100
51140434420411430
631101343252212
73005210441552
oct466762040720
9128653463828
1041738060240
1116779057468
128109baa068
133c22196786
14203d35d4d2
1511443a79e5
hex9b7c841d0

41738060240 has 80 divisors (see below), whose sum is σ = 100366718976. Its totient is φ = 16125158400.

The previous prime is 41738060237. The next prime is 41738060261. The reversal of 41738060240 is 4206083714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41738060240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275929 + ... + 1308231.

Almost surely, 241738060240 is an apocalyptic number.

41738060240 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 41738060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50183359488).

41738060240 is an abundant number, since it is smaller than the sum of its proper divisors (58628658736).

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

41738060240 is a wasteful number, since it uses less digits than its factorization.

41738060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32868 (or 32862 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 41738060240 in words is "forty-one billion, seven hundred thirty-eight million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 521 620 1042 1240 2084 2480 2605 4168 5210 8336 10420 16151 20840 32302 32303 41680 64604 64606 80755 129208 129212 161510 161515 258416 258424 323020 323030 516848 646040 646060 1001393 1292080 1292120 2002786 2584240 4005572 5006965 8011144 10013930 16022288 16829863 20027860 33659726 40055720 67319452 80111440 84149315 134638904 168298630 269277808 336597260 521725753 673194520 1043451506 1346389040 2086903012 2608628765 4173806024 5217257530 8347612048 10434515060 20869030120 41738060240