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1420244433540 = 2232523523165581
BaseRepresentation
bin10100101010101101001…
…010100011101010000100
312000202220021110120111200
4110222231022203222010
5141232130033333130
63004241251102500
7204415660333122
oct24525512435204
95022807416450
101420244433540
114a835aa588a9
121ab304ba1a30
13a3c0bb2562a
144ca5115c912
1526e255b0760
hex14aad2a3a84

1420244433540 has 144 divisors (see below), whose sum is σ = 4496310314496. Its totient is φ = 362190470400.

The previous prime is 1420244433533. The next prime is 1420244433581. The reversal of 1420244433540 is 453344420241.

1420244433540 is a `hidden beast` number, since 1 + 4 + 20 + 24 + 44 + 33 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1420244433495 and 1420244433504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21623550 + ... + 21689130.

It is an arithmetic number, because the mean of its divisors is an integer number (31224377184).

Almost surely, 21420244433540 is an apocalyptic number.

1420244433540 is a gapful number since it is divisible by the number (10) 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 1420244433540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248155157248).

1420244433540 is an abundant number, since it is smaller than the sum of its proper divisors (3076065880956).

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

1420244433540 is a wasteful number, since it uses less digits than its factorization.

1420244433540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70850 (or 70845 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1420244433540 its reverse (453344420241), we get a palindrome (1873588853781).

The spelling of 1420244433540 in words is "one trillion, four hundred twenty billion, two hundred forty-four million, four hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5231 10462 15693 20924 26155 31386 47079 52310 62772 65581 78465 94158 104620 120313 131162 156930 188316 196743 235395 240626 262324 313860 327905 360939 393486 470790 481252 590229 601565 655810 721878 786972 941580 983715 1082817 1180458 1203130 1311620 1443756 1508363 1804695 1967430 2165634 2360916 2406260 2951145 3016726 3609390 3934860 4331268 4525089 5414085 5902290 6033452 7218780 7541815 9050178 10828170 11804580 13575267 15083630 18100356 21656340 22625445 27150534 30167260 45250890 54301068 67876335 90501780 135752670 271505340 343054211 686108422 1029162633 1372216844 1715271055 2058325266 3087487899 3430542110 4116650532 5145813165 6174975798 6861084220 7890246853 10291626330 12349951596 15437439495 15780493706 20583252660 23670740559 30874878990 31560987412 39451234265 47341481118 61749757980 71012221677 78902468530 94682962236 118353702795 142024443354 157804937060 236707405590 284048886708 355061108385 473414811180 710122216770 1420244433540