Search a number
-
+
412040454155320 = 23541974159622781
BaseRepresentation
bin101110110101111111010010…
…0111001110010110000111000
32000000220200102200222020102011
41131223332210321302300320
5413001332322230432240
64020200434350015304
7152534640365412544
oct13553764471626070
92000820380866364
10412040454155320
1110a31a414553111
123a26824a4a7534
13148bb32c113043
1473a6c15c54a24
1532981b78456ea
hex176bfa4e72c38

412040454155320 has 128 divisors (see below), whose sum is σ = 959725994572800. Its totient is φ = 159100062105600.

The previous prime is 412040454155303. The next prime is 412040454155327. The reversal of 412040454155320 is 23551454040214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412040454155327) 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, 661302330 + ... + 661925110.

It is an arithmetic number, because the mean of its divisors is an integer number (7497859332600).

Almost surely, 2412040454155320 is an apocalyptic number.

412040454155320 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 412040454155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479862997286400).

412040454155320 is an abundant number, since it is smaller than the sum of its proper divisors (547685540417480).

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

412040454155320 is a wasteful number, since it uses less digits than its factorization.

412040454155320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627089 (or 627085 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 412040454155320 in words is "four hundred twelve trillion, forty billion, four hundred fifty-four million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 97 164 194 205 328 388 410 485 776 820 970 1640 1940 3880 3977 4159 7954 8318 15908 16636 19885 20795 31816 33272 39770 41590 79540 83180 159080 166360 170519 341038 403423 622781 682076 806846 852595 1245562 1364152 1613692 1705190 2017115 2491124 3113905 3227384 3410380 4034230 4982248 6227810 6820760 8068460 12455620 16136920 16540343 24911240 25534021 33080686 51068042 60409757 66161372 82701715 102136084 120819514 127670105 132322744 165403430 204272168 241639028 255340210 302048785 330806860 483278056 510680420 604097570 661613720 1021360840 1208195140 2416390280 2476800037 2590146179 4953600074 5180292358 9907200148 10360584716 12384000185 12950730895 19814400296 20721169432 24768000370 25901461790 49536000740 51802923580 99072001480 103605847160 106195993339 212391986678 251244179363 424783973356 502488358726 530979966695 849567946712 1004976717452 1061959933390 1256220896815 2009953434904 2123919866780 2512441793630 4247839733560 5024883587260 10049767174520 10301011353883 20602022707766 41204045415532 51505056769415 82408090831064 103010113538830 206020227077660 412040454155320