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4140855325680 = 243517259700913
BaseRepresentation
bin111100010000011110001…
…101011111001111110000
3112122212021022211121221020
4330100132031133033300
51020320432430410210
612450141020255440
7605111153344233
oct74203615371760
915585238747836
104140855325680
111357143974637
1256a6380a1580
13240633941aa8
141045c03b941a
1572aa6d31770
hex3c41e35f3f0

4140855325680 has 120 divisors (see below), whose sum is σ = 13636166364912. Its totient is φ = 1039273476096.

The previous prime is 4140855325627. The next prime is 4140855325699. The reversal of 4140855325680 is 865235580414.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29781097 + ... + 29919816.

Almost surely, 24140855325680 is an apocalyptic number.

4140855325680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140855325680 is an abundant number, since it is smaller than the sum of its proper divisors (9495311039232).

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

4140855325680 is a wasteful number, since it uses less digits than its factorization.

4140855325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59700963 (or 59700940 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 4140855325680 in words is "four trillion, one hundred forty billion, eight hundred fifty-five million, three hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1734 2040 2312 2890 3468 4080 4335 4624 5780 6936 8670 11560 13872 17340 23120 34680 69360 59700913 119401826 179102739 238803652 298504565 358205478 477607304 597009130 716410956 895513695 955214608 1014915521 1194018260 1432821912 1791027390 2029831042 2388036520 2865643824 3044746563 3582054780 4059662084 4776073040 5074577605 6089493126 7164109560 8119324168 10149155210 12178986252 14328219120 15223732815 16238648336 17253563857 20298310420 24357972504 30447465630 34507127714 40596620840 48715945008 51760691571 60894931260 69014255428 81193241680 86267819285 103521383142 121789862520 138028510856 172535638570 207042766284 243579725040 258803457855 276057021712 345071277140 414085532568 517606915710 690142554280 828171065136 1035213831420 1380285108560 2070427662840 4140855325680