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240630543664 = 24719304937087
BaseRepresentation
bin1110000000011010110…
…0101011010100110000
3212000002221211011021221
43200012230223110300
512420302404344124
6302313311354424
723246022605350
oct3400654532460
9760087734257
10240630543664
119306173a005
123a776822a14
13198cac028a4
14b90a306b60
1563d54adce4
hex3806b2b530

240630543664 has 80 divisors (see below), whose sum is σ = 561067264000. Its totient is φ = 97664942592.

The previous prime is 240630543623. The next prime is 240630543667. The reversal of 240630543664 is 466345036042.

It is a happy number.

It is a super-3 number, since 3×2406305436643 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240630543664.

It is not an unprimeable number, because it can be changed into a prime (240630543667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469729 + ... + 6506815.

It is an arithmetic number, because the mean of its divisors is an integer number (7013340800).

Almost surely, 2240630543664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240630543664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280533632000).

240630543664 is an abundant number, since it is smaller than the sum of its proper divisors (320436720336).

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

240630543664 is a wasteful number, since it uses less digits than its factorization.

240630543664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40170 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 240630543664 in words is "two hundred forty billion, six hundred thirty million, five hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 3049 6098 12196 21343 24392 37087 42686 48784 57931 74174 85372 115862 148348 170744 231724 259609 296696 341488 405517 463448 519218 593392 704653 811034 926896 1038436 1409306 1622068 2076872 2818612 3244136 4153744 4932571 5637224 6488272 9865142 11274448 19730284 39460568 78921136 113078263 226156526 452313052 791547841 904626104 1583095682 1809252208 2148486997 3166191364 4296973994 6332382728 8593947988 12664765456 15039408979 17187895976 30078817958 34375791952 60157635916 120315271832 240630543664