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2112143424040 = 2351331251522017
BaseRepresentation
bin11110101111000101100…
…011101111101000101000
321110220210220111001100201
4132233011203233220220
5234101132204032130
64254145535441544
7305411611611136
oct36570543575050
97426726431321
102112143424040
11744833999121
122a14206862b4
13124235b44310
147432a5c4756
1539e1d368bca
hex1ebc58efa28

2112143424040 has 128 divisors (see below), whose sum is σ = 5304036971520. Its totient is φ = 751703040000.

The previous prime is 2112143423981. The next prime is 2112143424043. The reversal of 2112143424040 is 404243412112.

It is a super-2 number, since 2×21121434240402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112143424043) by changing a digit.

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, 3785112 + ... + 4307128.

It is an arithmetic number, because the mean of its divisors is an integer number (41437788840).

Almost surely, 22112143424040 is an apocalyptic number.

2112143424040 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 2112143424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652018485760).

2112143424040 is an abundant number, since it is smaller than the sum of its proper divisors (3191893547480).

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

2112143424040 is a wasteful number, since it uses less digits than its factorization.

2112143424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522323 (or 522319 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2112143424040 its reverse (404243412112), we get a palindrome (2516386836152).

The spelling of 2112143424040 in words is "two trillion, one hundred twelve billion, one hundred forty-three million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 251 260 310 403 502 520 620 806 1004 1240 1255 1612 2008 2015 2510 3224 3263 4030 5020 6526 7781 8060 10040 13052 15562 16120 16315 26104 31124 32630 38905 62248 65260 77810 101153 130520 155620 202306 311240 404612 505765 522017 809224 1011530 1044034 2023060 2088068 2610085 4046120 4176136 5220170 6786221 10440340 13572442 16182527 20880680 27144884 32365054 33931105 54289768 64730108 67862210 80912635 129460216 131026267 135724420 161825270 210372851 262052534 271448840 323650540 420745702 524105068 647301080 655131335 841491404 1048210136 1051864255 1310262670 1682982808 1703341471 2103728510 2620525340 3406682942 4061814277 4207457020 5241050680 6813365884 8123628554 8414914040 8516707355 13626731768 16247257108 17033414710 20309071385 32494514216 34066829420 40618142770 52803585601 68133658840 81236285540 105607171202 162472571080 211214342404 264017928005 422428684808 528035856010 1056071712020 2112143424040