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41133242234133 = 33719149277277531
BaseRepresentation
bin10010101101001000101000…
…10010101011010100010101
312101122022002101010020112000
421112210110102223110111
520342411340002443013
6223252203422145513
711443531042101540
oct1126442422532425
9171568071106460
1041133242234133
1112119567999635
124743a93722299
1319c4b0437305a
14a22c0684b857
154b4e83c88973
hex2569144ab515

41133242234133 has 128 divisors (see below), whose sum is σ = 74067740160000. Its totient is φ = 22038244335360.

The previous prime is 41133242234111. The next prime is 41133242234177. The reversal of 41133242234133 is 33143224233114.

41133242234133 is a `hidden beast` number, since 4 + 1 + 13 + 3 + 2 + 4 + 223 + 413 + 3 = 666.

It is not a de Polignac number, because 41133242234133 - 29 = 41133242233621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41133242214133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148072578 + ... + 148350108.

It is an arithmetic number, because the mean of its divisors is an integer number (578654220000).

Almost surely, 241133242234133 is an apocalyptic number.

It is an amenable number.

41133242234133 is a deficient number, since it is larger than the sum of its proper divisors (32934497925867).

41133242234133 is a wasteful number, since it uses less digits than its factorization.

41133242234133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277992 (or 277986 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 41133242234133 its reverse (33143224233114), we get a palindrome (74276466467247).

The spelling of 41133242234133 in words is "forty-one trillion, one hundred thirty-three billion, two hundred forty-two million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 149 171 189 277 399 447 513 831 1043 1197 1341 1939 2493 2831 3129 3591 4023 5263 5817 7479 8493 9387 15789 17451 19817 25479 28161 36841 41273 47367 52353 59451 76437 110523 123819 142101 178353 277531 288911 331569 371457 535059 784187 832593 866733 994707 1114371 1942717 2352561 2497779 2600199 5273089 5489309 5828151 7057683 7493337 7800597 15819267 16467927 17484453 21173049 36911623 41352119 47457801 49403781 52453359 76876087 110734869 124056357 142373403 148211343 230628261 289464833 332204607 372169071 538132609 691884783 785690261 868394499 996613821 1116507213 1460645653 1614397827 2075654349 2357070783 2605183497 4381936959 4843193481 5499831827 7071212349 7815550491 10224519571 11454536963 13145810877 14529580443 16499495481 21213637047 30673558713 34363610889 39437432631 49498486443 80181758741 92020676139 103090832667 148495459329 217636202297 240545276223 276062028417 309272498001 652908606891 721635828669 1523453416079 1958725820673 2164907486007 4570360248237 5876177462019 13711080744711 41133242234133