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2354561104434 = 2371131372744111
BaseRepresentation
bin100010010000110110110…
…001110011101000110010
322100002112102010011100220
4202100312301303220302
5302034120120320214
65001400451553510
7332053135110630
oct42206661635062
98302472104326
102354561104434
118286223a6430
123203b58bb896
1314105a082056
1481d65db6350
15413aa68e9a9
hex22436c73a32

2354561104434 has 128 divisors (see below), whose sum is σ = 6062267695104. Its totient is φ = 591673896000.

The previous prime is 2354561104433. The next prime is 2354561104439. The reversal of 2354561104434 is 4344011654532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2354561104433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53356039 + ... + 53400149.

It is an arithmetic number, because the mean of its divisors is an integer number (47361466368).

Almost surely, 22354561104434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354561104434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031133847552).

2354561104434 is an abundant number, since it is smaller than the sum of its proper divisors (3707706590670).

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

2354561104434 is a wasteful number, since it uses less digits than its factorization.

2354561104434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47892.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 2354561104434 its reverse (4344011654532), we get a palindrome (6698572758966).

The spelling of 2354561104434 in words is "two trillion, three hundred fifty-four billion, five hundred sixty-one million, one hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 3727 4774 7161 7454 11181 14322 22362 26089 40997 44111 52178 78267 81994 88222 115537 122991 132333 156534 231074 245982 264666 286979 308777 346611 485221 573958 617554 693222 808759 860937 926331 970442 1270907 1367441 1455663 1617518 1721874 1852662 2426277 2541814 2734882 2911326 3396547 3812721 4102323 4852554 6793094 7625442 8204646 8896349 9572087 10189641 15041851 17792698 19144174 20379282 26689047 28716261 30083702 45125553 53378094 57432522 90251106 105292957 164401697 210585914 315878871 328803394 493205091 631757742 986410182 1150811879 1808418667 2301623758 3452435637 3616837334 5096452607 5425256001 6904871274 10192905214 10850512002 12658930669 15289357821 25317861338 30578715642 35675168249 37976792007 56060978677 71350336498 75953584014 107025504747 112121957354 168182936031 214051009494 336365872062 392426850739 784853701478 1177280552217 2354561104434