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40132663717542 = 23111926719250693
BaseRepresentation
bin10010010000000000111010…
…01010100010111010100110
312021002122102100010010110120
421020000131022202322212
520230013143402430132
6221204405144102410
711311326551041314
oct1110003512427246
9167078370103416
1040132663717542
1111873192459660
124601b8ba64a06
131951656291306
149ca6076510b4
15498e2184a02c
hex24801d2a2ea6

40132663717542 has 96 divisors (see below), whose sum is σ = 92427388139520. Its totient is φ = 11519578175040.

The previous prime is 40132663717541. The next prime is 40132663717543. The reversal of 40132663717542 is 24571736623104.

It is an interprime number because it is at equal distance from previous prime (40132663717541) and next prime (40132663717543).

It is a super-2 number, since 2×401326637175422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132663717541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159961548 + ... + 160212240.

It is an arithmetic number, because the mean of its divisors is an integer number (962785293120).

Almost surely, 240132663717542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132663717542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46213694069760).

40132663717542 is an abundant number, since it is smaller than the sum of its proper divisors (52294724421978).

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

40132663717542 is a wasteful number, since it uses less digits than its factorization.

40132663717542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257466 (or 257447 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 40132663717542 in words is "forty trillion, one hundred thirty-two billion, six hundred sixty-three million, seven hundred seventeen thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 2166 3971 6719 7942 11913 13438 20157 23826 40314 73909 127661 147818 221727 250693 255322 382983 443454 501386 752079 765966 1404271 1504158 2425559 2757623 2808542 4212813 4763167 4851118 5515246 7276677 8272869 8425626 9526334 14289501 14553354 16545738 26681149 28579002 52394837 53362298 80043447 90500173 104789674 157184511 160086894 181000346 271500519 314369022 543001038 995501903 1684406267 1991003806 2986505709 3368812534 5053218801 5973011418 10106437602 18528468937 32003719073 37056937874 55585406811 64007438146 96011157219 111170813622 192022314438 352040909803 608070662387 704081819606 1056122729409 1216141324774 1824211987161 2112245458818 3648423974322 6688777286257 13377554572514 20066331858771 40132663717542