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40663415324640 = 2535439192973687
BaseRepresentation
bin10010011111011101100000…
…11011001111111111100000
312022222101101022220100012010
421033232300123033333200
520312212133310342030
6222252303133032520
711364556224211113
oct1117566033177740
9168871338810163
1040663415324640
1111a58291948679
124688a13625740
13198c70b4122b4
14a08196a4c57a
154a7b370706b0
hex24fbb06cffe0

40663415324640 has 96 divisors (see below), whose sum is σ = 128381535152640. Its totient is φ = 10818876731904.

The previous prime is 40663415324633. The next prime is 40663415324683. The reversal of 40663415324640 is 4642351436604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×406634153246402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40663415324640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96276124 + ... + 96697563.

It is an arithmetic number, because the mean of its divisors is an integer number (1337307657840).

Almost surely, 240663415324640 is an apocalyptic number.

40663415324640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40663415324640 is an abundant number, since it is smaller than the sum of its proper divisors (87718119828000).

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

40663415324640 is a wasteful number, since it uses less digits than its factorization.

40663415324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192974144 (or 192974136 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 40663415324640 in words is "forty trillion, six hundred sixty-three billion, four hundred fifteen million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 439 480 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 14048 17560 21072 26340 35120 42144 52680 70240 105360 210720 192973687 385947374 578921061 771894748 964868435 1157842122 1543789496 1929736870 2315684244 2894605305 3087578992 3859473740 4631368488 5789210610 6175157984 7718947480 9262736976 11578421220 15437894960 18525473952 23156842440 30875789920 46313684880 84715448593 92627369760 169430897186 254146345779 338861794372 423577242965 508292691558 677723588744 847154485930 1016585383116 1270731728895 1355447177488 1694308971860 2033170766232 2541463457790 2710894354976 3388617943720 4066341532464 5082926915580 6777235887440 8132683064928 10165853831160 13554471774880 20331707662320 40663415324640