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240041142243444 = 223377919335458333
BaseRepresentation
bin110110100101000011101111…
…000000111101000001110100
31011110220201010220221120211010
4312211003233000331001310
5222430313224403242234
62210305213422512220
7101363254163566053
oct6645035700750164
91143821126846733
10240041142243444
116a536970a33903
1222b096b8a35670
13a3c2a2345a599
14433c0a628439a
151cb404abc06e9
hexda50ef03d074

240041142243444 has 96 divisors (see below), whose sum is σ = 585533397675520. Its totient is φ = 76467453124608.

The previous prime is 240041142243443. The next prime is 240041142243451. The reversal of 240041142243444 is 444342241140042.

It is a super-3 number, since 3×2400411422434443 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240041142243443) 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, 10959499 + ... + 24498834.

Almost surely, 2240041142243444 is an apocalyptic number.

It is an amenable number.

240041142243444 is an abundant number, since it is smaller than the sum of its proper divisors (345492255432076).

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

240041142243444 is a wasteful number, since it uses less digits than its factorization.

240041142243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35458649 (or 35458647 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 240041142243444 its reverse (444342241140042), we get a palindrome (684383383383486).

The spelling of 240041142243444 in words is "two hundred forty trillion, forty-one billion, one hundred forty-two million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 79 111 148 158 193 222 237 316 386 444 474 579 772 948 1158 2316 2923 5846 7141 8769 11692 14282 15247 17538 21423 28564 30494 35076 42846 45741 60988 85692 91482 182964 564139 1128278 1692417 2256556 3384834 6769668 35458333 70916666 106374999 141833332 212749998 425499996 1311958321 2623916642 2801208307 3935874963 5247833284 5602416614 6843458269 7871749926 8403624921 11204833228 13686916538 15743499852 16807249842 20530374807 27373833076 33614499684 41060749614 82121499228 103644707359 207289414718 253207955953 310934122077 414578829436 506415911906 540633203251 621868244154 759623867859 1012831823812 1081266406502 1243736488308 1519247735718 1621899609753 2162532813004 3038495471436 3243799219506 6487598439012 20003428520287 40006857040574 60010285560861 80013714081148 120020571121722 240041142243444