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40233041121 = 371371109137139
BaseRepresentation
bin100101011110000100…
…110111110011100001
310211211220120020211010
4211132010313303201
51124344124303441
630252141411133
72623004130660
oct453604676341
9124756506733
1040233041121
1116076559309
127969b69aa9
133a42437b10
141d39510dd7
1510a71bb116
hex95e137ce1

40233041121 has 128 divisors (see below), whose sum is σ = 68550451200. Its totient is φ = 20431595520.

The previous prime is 40233041089. The next prime is 40233041137. The reversal of 40233041121 is 12114033204.

It is not a de Polignac number, because 40233041121 - 25 = 40233041089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40233041161) 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 127 ways as a sum of consecutive naturals, for example, 289446270 + ... + 289446408.

It is an arithmetic number, because the mean of its divisors is an integer number (535550400).

Almost surely, 240233041121 is an apocalyptic number.

It is an amenable number.

40233041121 is a deficient number, since it is larger than the sum of its proper divisors (28317410079).

40233041121 is a wasteful number, since it uses less digits than its factorization.

40233041121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40233041121 its reverse (12114033204), we get a palindrome (52347074325).

The spelling of 40233041121 in words is "forty billion, two hundred thirty-three million, forty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 71 91 109 137 139 213 273 327 411 417 497 763 923 959 973 1417 1491 1781 1807 2289 2769 2877 2919 4251 5343 5421 6461 7739 9727 9869 9919 12467 12649 14933 15151 19043 19383 23217 29181 29607 29757 37401 37947 44799 45453 54173 57129 68089 69083 100607 104531 106057 126451 128297 133301 162519 194129 196963 204267 207249 247559 301821 313593 318171 379353 384891 399903 582387 590889 704249 742677 885157 898079 1060243 1075721 1352053 1358903 1378741 1732913 2075687 2112747 2655471 2694237 3180729 3227163 4056159 4076709 4136223 5198739 6227061 7421701 7530047 9464371 13783159 13984373 14529809 17576689 22265103 22590141 26983931 28393113 41349477 41953119 43589427 52730067 80951793 96482113 97890611 123036823 147373777 188887517 289446339 293671833 369110469 442121331 566662551 1031616439 1915859101 3094849317 5747577303 13411013707 40233041121