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330040110431040 = 2635343791781699
BaseRepresentation
bin100101100001010110111001…
…1100010110011101101000000
31121021120112012202111100202020
41023002231303202303231000
5321224334121232243130
63125534200021121440
7126342416415205422
oct11302556342635500
91537515182440666
10330040110431040
1196185252235039
1231023b99259280
131122085874cc19
145b70052cd8812
152825179b84e10
hex12c2b738b3b40

330040110431040 has 56 divisors (see below), whose sum is σ = 1047877350621600. Its totient is φ = 88010696114688.

The previous prime is 330040110430991. The next prime is 330040110431111. The reversal of 330040110431040 is 40134011040033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 330040110431040.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 171895889890 + ... + 171895891809.

Almost surely, 2330040110431040 is an apocalyptic number.

330040110431040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330040110431040 is an abundant number, since it is smaller than the sum of its proper divisors (717837240190560).

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

330040110431040 is a wasteful number, since it uses less digits than its factorization.

330040110431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343791781719 (or 343791781709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330040110431040 its reverse (40134011040033), we get a palindrome (370174121471073).

The spelling of 330040110431040 in words is "three hundred thirty trillion, forty billion, one hundred ten million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 343791781699 687583563398 1031375345097 1375167126796 1718958908495 2062750690194 2750334253592 3437917816990 4125501380388 5156876725485 5500668507184 6875835633980 8251002760776 10313753450970 11001337014368 13751671267960 16502005521552 20627506901940 22002674028736 27503342535920 33004011043104 41255013803880 55006685071840 66008022086208 82510027607760 110013370143680 165020055215520 330040110431040