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41544503440 = 24511172777039
BaseRepresentation
bin100110101100001111…
…101101000010010000
310222020022022102220121
4212230033231002100
51140040343102230
631030230520024
73000340311166
oct465417550220
9128208272817
1041544503440
1116689875370
128075206014
133bc105711b
142021777236
1511323c277a
hex9ac3ed090

41544503440 has 80 divisors (see below), whose sum is σ = 111570359040. Its totient is φ = 14218434560.

The previous prime is 41544503369. The next prime is 41544503461. The reversal of 41544503440 is 4430544514.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 41544503396 and 41544503405.

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, 1373560 + ... + 1403479.

It is an arithmetic number, because the mean of its divisors is an integer number (1394629488).

Almost surely, 241544503440 is an apocalyptic number.

41544503440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41544503440 is an abundant number, since it is smaller than the sum of its proper divisors (70025855600).

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

41544503440 is a wasteful number, since it uses less digits than its factorization.

41544503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777080 (or 2777074 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 41544503440 in words is "forty-one billion, five hundred forty-four million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 2777039 5554078 11108156 13885195 22216312 27770390 30547429 44432624 47209663 55540780 61094858 94419326 111081560 122189716 152737145 188838652 222163120 236048315 244379432 305474290 377677304 472096630 488758864 519306293 610948580 755354608 944193260 1038612586 1221897160 1888386520 2077225172 2443794320 2596531465 3776773040 4154450344 5193062930 8308900688 10386125860 20772251720 41544503440