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240305004345232 = 241723280113713647
BaseRepresentation
bin110110101000111001011110…
…011010111111011110010000
31011111211221012221001011201201
4312220321132122333132100
5222444124122103021412
62211030332303240544
7101421315011466541
oct6650713632773620
91144757187034651
10240305004345232
116a62886423a322
1222b508778a9154
13a4118843a5868
14434ab77b144c8
151cbad4097de57
hexda8e5e6bf790

240305004345232 has 80 divisors (see below), whose sum is σ = 514596193592832. Its totient is φ = 108129355980800.

The previous prime is 240305004345229. The next prime is 240305004345349. The reversal of 240305004345232 is 232543400503042.

It is a super-2 number, since 2×2403050043452322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240305004345191 and 240305004345200.

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, 10666233 + ... + 24379879.

Almost surely, 2240305004345232 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 240305004345232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257298096796416).

240305004345232 is an abundant number, since it is smaller than the sum of its proper divisors (274291189247600).

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

240305004345232 is a wasteful number, since it uses less digits than its factorization.

240305004345232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716496 (or 13716490 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

Adding to 240305004345232 its reverse (232543400503042), we get a palindrome (472848404848274).

The spelling of 240305004345232 in words is "two hundred forty trillion, three hundred five billion, four million, three hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 2801 3128 5602 6256 11204 22408 44816 47617 64423 95234 128846 190468 257692 380936 515384 761872 1030768 1095191 2190382 4380764 8761528 13713647 17523056 27427294 54854588 109709176 219418352 233131999 315413881 466263998 630827762 932527996 1261655524 1865055992 2523311048 3730111984 5046622096 5362035977 10724071954 21448143908 38411925247 42896287816 76823850494 85792575632 153647700988 307295401976 614590803952 653002729199 883474280681 1306005458398 1766948561362 2612010916796 3533897122724 5224021833592 7067794245448 10448043667184 14135588490896 15019062771577 30038125543154 60076251086308 120152502172616 240305004345232