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2441411133040 = 2451131571156733
BaseRepresentation
bin100011100001101111011…
…100010111111001110000
322122101201010202202002001
4203201233130113321300
5310000002222224130
65105322505303344
7341246305141255
oct43415734277160
98571633682061
102441411133040
1186143aa34380
123351b3794b54
131492bb400c19
14862447cd42c
15437902016ca
hex2386f717e70

2441411133040 has 160 divisors (see below), whose sum is σ = 6403293591552. Its totient is φ = 857637504000.

The previous prime is 2441411133037. The next prime is 2441411133079. The reversal of 2441411133040 is 403311141442.

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 31 ways as a sum of consecutive naturals, for example, 15498514 + ... + 15655246.

Almost surely, 22441411133040 is an apocalyptic number.

2441411133040 is a gapful number since it is divisible by the number (20) 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 2441411133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201646795776).

2441411133040 is an abundant number, since it is smaller than the sum of its proper divisors (3961882458512).

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

2441411133040 is a wasteful number, since it uses less digits than its factorization.

2441411133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157359 (or 157353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2441411133040 its reverse (403311141442), we get a palindrome (2844722274482).

The spelling of 2441411133040 in words is "two trillion, four hundred forty-one billion, four hundred eleven million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 571 620 682 880 1142 1240 1364 1705 2284 2480 2728 2855 3410 4568 5456 5710 6281 6820 9136 11420 12562 13640 17701 22840 25124 27280 31405 35402 45680 50248 62810 70804 88505 100496 125620 141608 156733 177010 194711 251240 283216 313466 354020 389422 502480 626932 708040 778844 783665 973555 1253864 1416080 1557688 1567330 1724063 1947110 2507728 3115376 3134660 3448126 3894220 4858723 6269320 6896252 7788440 8620315 9717446 12538640 13792504 15576880 17240630 19434892 24293615 27585008 34481260 38869784 48587230 53445953 68962520 77739568 89494543 97174460 106891906 137925040 178989086 194348920 213783812 267229765 357978172 388697840 427567624 447472715 534459530 715956344 855135248 894945430 984439973 1068919060 1431912688 1789890860 1968879946 2137838120 2774330833 3579781720 3937759892 4275676240 4922199865 5548661666 7159563440 7875519784 9844399730 11097323332 13871654165 15751039568 19688799460 22194646664 27743308330 30517639163 39377598920 44389293328 55486616660 61035278326 78755197840 110973233320 122070556652 152588195815 221946466640 244141113304 305176391630 488282226608 610352783260 1220705566520 2441411133040