Search a number
-
+
41421600612414 = 232114311343054127
BaseRepresentation
bin10010110101100001101111…
…10010100110000000111110
312102122212101120021121111100
421122300313302212000332
520412122414224044124
6224032453131033530
711503416606631131
oct1132606762460076
9172585346247440
1041421600612414
111221a890761160
12478b94a29b8a6
131a1606a3679a9
14a32b5d7c0218
154bc70e3b81c9
hex25ac37ca603e

41421600612414 has 96 divisors (see below), whose sum is σ = 101069048830464. Its totient is φ = 12151596522240.

The previous prime is 41421600612407. The next prime is 41421600612439.

41421600612414 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 1 + 600 + 6 + 1 + 2 + 41 + 4 = 666.

41421600612414 is nontrivially palindromic in base 10.

41421600612414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 20564982 + ... + 22489145.

It is an arithmetic number, because the mean of its divisors is an integer number (1052802591984).

Almost surely, 241421600612414 is an apocalyptic number.

41421600612414 is an abundant number, since it is smaller than the sum of its proper divisors (59647448218050).

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

41421600612414 is a wasteful number, since it uses less digits than its factorization.

41421600612414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43054302 (or 43054299 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41421600612414 in words is "forty-one trillion, four hundred twenty-one billion, six hundred million, six hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 113 129 198 226 258 339 387 473 678 774 946 1017 1243 1419 2034 2486 2838 3729 4257 4859 7458 8514 9718 11187 14577 22374 29154 43731 53449 87462 106898 160347 320694 481041 962082 43054127 86108254 129162381 258324762 387487143 473595397 774974286 947190794 1420786191 1851327461 2841572382 3702654922 4262358573 4865116351 5553982383 8524717146 9730232702 11107964766 14595349053 16661947149 20364602071 29190698106 33323894298 40729204142 43786047159 53516279861 61093806213 87572094318 107032559722 122187612426 160548839583 183281418639 209200003093 321097679166 366562837278 418400006186 481646518749 627600009279 963293037498 1255200018558 1882800027837 2301200034023 3765600055674 4602400068046 6903600102069 13807200204138 20710800306207 41421600612414