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5441151522440 = 235598944358477
BaseRepresentation
bin100111100101101110111…
…1001110101011010001000
3201021011120012112102201202
41033023131321311122020
51203121434242204230
615323344104403332
71101052543555214
oct117133571653210
921234505472652
105441151522440
111808641202837
1273a646776548
13306138204b8a
1414b4d3027944
159680bc63a45
hex4f2dde75688

5441151522440 has 128 divisors (see below), whose sum is σ = 12618616752000. Its totient is φ = 2110719756288.

The previous prime is 5441151522431. The next prime is 5441151522449. The reversal of 5441151522440 is 442251511445.

It is an interprime number because it is at equal distance from previous prime (5441151522431) and next prime (5441151522449).

It is a super-2 number, since 2×54411515224402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5441151522394 and 5441151522403.

It is not an unprimeable number, because it can be changed into a prime (5441151522449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93018482 + ... + 93076958.

It is an arithmetic number, because the mean of its divisors is an integer number (98582943375).

Almost surely, 25441151522440 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 5441151522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309308376000).

5441151522440 is an abundant number, since it is smaller than the sum of its proper divisors (7177465229560).

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

5441151522440 is a wasteful number, since it uses less digits than its factorization.

5441151522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59079 (or 59075 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The spelling of 5441151522440 in words is "five trillion, four hundred forty-one billion, one hundred fifty-one million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 89 118 178 236 295 356 443 445 472 590 712 886 890 1180 1772 1780 2215 2360 3544 3560 4430 5251 8860 10502 17720 21004 26137 26255 39427 42008 52274 52510 58477 78854 104548 105020 116954 130685 157708 197135 209096 210040 233908 261370 292385 315416 394270 467816 522740 584770 788540 1045480 1169540 1577080 2326193 2339080 3450143 4652386 5204453 6900286 9304772 10408906 11630965 13800572 17250715 18609544 20817812 23261930 25905311 26022265 27601144 34501430 41635624 46523860 51810622 52044530 69002860 93047720 103621244 104089060 129526555 138005720 207242488 208178120 259053110 307062727 518106220 614125454 1036212440 1228250908 1528413349 1535313635 2305572679 2456501816 3056826698 3070627270 4611145358 6113653396 6141254540 7642066745 9222290716 11527863395 12227306792 12282509080 15284133490 18444581432 23055726790 30568266980 46111453580 61136533960 92222907160 136028788061 272057576122 544115152244 680143940305 1088230304488 1360287880610 2720575761220 5441151522440