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40665302640 = 24335151124679
BaseRepresentation
bin100101110111110101…
…110100011001110000
310212222000221102011000
4211313311310121300
51131240304141030
630403102322000
72636503240434
oct456765643160
9125860842130
1040665302640
1116278559836
127a6a889300
133ab0b63871
141d7aab29c4
1510d0103860
hex977d74670

40665302640 has 160 divisors (see below), whose sum is σ = 140998118400. Its totient is φ = 10772179200.

The previous prime is 40665302597. The next prime is 40665302677. The reversal of 40665302640 is 4620356604.

40665302640 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 5 + 3 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40665302595 and 40665302604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263821 + ... + 388499.

It is an arithmetic number, because the mean of its divisors is an integer number (881238240).

Almost surely, 240665302640 is an apocalyptic number.

40665302640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40665302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70499059200).

40665302640 is an abundant number, since it is smaller than the sum of its proper divisors (100332815760).

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

40665302640 is a wasteful number, since it uses less digits than its factorization.

40665302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124852 (or 124840 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40665302640 in words is "forty billion, six hundred sixty-five million, three hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 151 180 216 240 270 302 360 432 453 540 604 720 755 906 1080 1208 1359 1510 1812 2160 2265 2416 2718 3020 3624 4077 4530 5436 6040 6795 7248 8154 9060 10872 12080 13590 16308 18120 20385 21744 27180 32616 36240 40770 54360 65232 81540 108720 124679 163080 249358 326160 374037 498716 623395 748074 997432 1122111 1246790 1496148 1870185 1994864 2244222 2493580 2992296 3366333 3740370 4488444 4987160 5610555 5984592 6732666 7480740 8976888 9974320 11221110 13465332 14961480 16831665 17953776 18826529 22442220 26930664 29922960 33663330 37653058 44884440 53861328 56479587 67326660 75306116 89768880 94132645 112959174 134653320 150612232 169438761 188265290 225918348 269306640 282397935 301224464 338877522 376530580 451836696 508316283 564795870 677755044 753061160 847193805 903673392 1016632566 1129591740 1355510088 1506122320 1694387610 2033265132 2259183480 2541581415 2711020176 3388775220 4066530264 4518366960 5083162830 6777550440 8133060528 10166325660 13555100880 20332651320 40665302640