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3481350481140 = 2235717487584101
BaseRepresentation
bin110010101010010000101…
…010001010010011110100
3110022210222022010021021220
4302222100222022103310
5424014301210344030
611223151010510340
7506343052560360
oct62522052122364
913283868107256
103481350481140
111122483651674
124828612953b0
131c33a00043cc
14c06d93362a0
1560857e6da10
hex32a90a8a4f4

3481350481140 has 96 divisors (see below), whose sum is σ = 11795634595584. Its totient is φ = 748929177600.

The previous prime is 3481350481139. The next prime is 3481350481153. The reversal of 3481350481140 is 411840531843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3481350481092 and 3481350481101.

It is a congruent number.

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, 243784911 + ... + 243799190.

It is an arithmetic number, because the mean of its divisors is an integer number (122871193704).

Almost surely, 23481350481140 is an apocalyptic number.

3481350481140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481350481140 is an abundant number, since it is smaller than the sum of its proper divisors (8314284114444).

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

3481350481140 is a wasteful number, since it uses less digits than its factorization.

3481350481140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487584137 (or 487584135 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 3481350481140 in words is "three trillion, four hundred eighty-one billion, three hundred fifty million, four hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 487584101 975168202 1462752303 1950336404 2437920505 2925504606 3413088707 4875841010 5851009212 6826177414 7313761515 8288929717 9751682020 10239266121 13652354828 14627523030 16577859434 17065443535 20478532242 24866789151 29255046060 33155718868 34130887070 40957064484 41444648585 49733578302 51196330605 58022508019 68261774140 82889297170 99467156604 102392661210 116045016038 124333945755 165778594340 174067524057 204785322420 232090032076 248667891510 290112540095 348135048114 497335783020 580225080190 696270096228 870337620285 1160450160380 1740675240570 3481350481140