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331344223430040 = 233256491141796429
BaseRepresentation
bin100101101010110110001011…
…0101111000110010110011000
31121110012012100122011210220200
41023111230112233012112120
5321412220432144230130
63132413233532422200
7126535554512615622
oct11325542657062630
91543165318153820
10331344223430040
1196638329000257
12311b4892017960
13112b681a9b1182
145bb720880dc12
152849054c01760
hex12d5b16bc6598

331344223430040 has 96 divisors (see below), whose sum is σ = 1077034635565200. Its totient is φ = 88344846501120.

The previous prime is 331344223430021. The next prime is 331344223430177. The reversal of 331344223430040 is 40034322443133.

331344223430040 is a `hidden beast` number, since 3 + 3 + 1 + 344 + 2 + 2 + 3 + 4 + 300 + 4 + 0 = 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 = 331344223429977 and 331344223430004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68561455 + ... + 73234974.

Almost surely, 2331344223430040 is an apocalyptic number.

331344223430040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331344223430040 is an abundant number, since it is smaller than the sum of its proper divisors (745690412135160).

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

331344223430040 is a wasteful number, since it uses less digits than its factorization.

331344223430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141802937 (or 141802930 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 331344223430040 its reverse (40034322443133), we get a palindrome (371378545873173).

The spelling of 331344223430040 in words is "three hundred thirty-one trillion, three hundred forty-four billion, two hundred twenty-three million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6491 12982 19473 25964 32455 38946 51928 58419 64910 77892 97365 116838 129820 155784 194730 233676 259640 292095 389460 467352 584190 778920 1168380 2336760 141796429 283592858 425389287 567185716 708982145 850778574 1134371432 1276167861 1417964290 1701557148 2126946435 2552335722 2835928580 3403114296 4253892870 5104671444 5671857160 6380839305 8507785740 10209342888 12761678610 17015571480 25523357220 51046714440 920400620639 1840801241278 2761201861917 3681602482556 4602003103195 5522403723834 7363204965112 8283605585751 9204006206390 11044807447668 13806009309585 16567211171502 18408012412780 22089614895336 27612018619170 33134422343004 36816024825560 41418027928755 55224037238340 66268844686008 82836055857510 110448074476680 165672111715020 331344223430040