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1012401144144 = 243313315815189
BaseRepresentation
bin11101011101101111100…
…11111000000101010000
310120210011222100211011000
432232313303320011100
5113041344143103034
62053031330022000
7133100146511145
oct16566763700520
93523158324130
101012401144144
113603a2064055
12144263117900
1374613582660
14370014463cc
151b505324599
hexebb7cf8150

1012401144144 has 160 divisors (see below), whose sum is σ = 3230454348800. Its totient is φ = 301459345920.

The previous prime is 1012401144133. The next prime is 1012401144151. The reversal of 1012401144144 is 4414411042101.

1012401144144 is a `hidden beast` number, since 1 + 0 + 1 + 240 + 1 + 1 + 4 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2733499 + ... + 3081690.

It is an arithmetic number, because the mean of its divisors is an integer number (20190339680).

Almost surely, 21012401144144 is an apocalyptic number.

It is an amenable number.

1012401144144 is an abundant number, since it is smaller than the sum of its proper divisors (2218053204656).

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

1012401144144 is a wasteful number, since it uses less digits than its factorization.

1012401144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815250 (or 5815238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1012401144144 its reverse (4414411042101), we get a palindrome (5426812186245).

The spelling of 1012401144144 in words is "one trillion, twelve billion, four hundred one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 43524 58032 87048 174096 5815189 11630378 17445567 23260756 34891134 46521512 52336701 69782268 75597457 93043024 104673402 139564536 151194914 157010103 180270859 209346804 226792371 279129072 302389828 314020206 360541718 418693608 453584742 540812577 604779656 628040412 680377113 721083436 837387216 907169484 1081625154 1209559312 1256080824 1360754226 1442166872 1622437731 1814338968 2041131339 2163250308 2343521167 2512161648 2721508452 2884333744 3244875462 3628677936 4082262678 4326500616 4687042334 4867313193 5443016904 6489750924 7030563501 8164525356 8653001232 9374084668 9734626386 10886033808 12979501848 14061127002 16329050712 18748169336 19469252772 21091690503 25959003696 28122254004 32658101424 37496338672 38938505544 42183381006 56244508008 63275071509 77877011088 84366762012 112489016016 126550143018 168733524024 253100286036 337467048048 506200572072 1012401144144