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140520540240 = 24325195167417
BaseRepresentation
bin1000001011011110101…
…1010100100001010000
3111102201010012001201100
42002313223110201100
54300241224241430
6144315414504400
713103141612223
oct2026753244120
9442633161640
10140520540240
115465a1aa793
1223298065100
1310335689382
146b3080d5ba
1539c6795960
hex20b7ad4850

140520540240 has 60 divisors (see below), whose sum is σ = 471914816724. Its totient is φ = 37472143872.

The previous prime is 140520540217. The next prime is 140520540241. The reversal of 140520540240 is 42045025041.

140520540240 is a `hidden beast` number, since 14 + 0 + 5 + 205 + 402 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22618956816 + 117901583424 = 150396^2 + 343368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1405205402403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140520540241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97582989 + ... + 97584428.

Almost surely, 2140520540240 is an apocalyptic number.

140520540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140520540240 is an abundant number, since it is smaller than the sum of its proper divisors (331394276484).

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

140520540240 is a wasteful number, since it uses less digits than its factorization.

140520540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195167436 (or 195167427 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 140520540240 its reverse (42045025041), we get a palindrome (182565565281).

The spelling of 140520540240 in words is "one hundred forty billion, five hundred twenty million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 195167417 390334834 585502251 780669668 975837085 1171004502 1561339336 1756506753 1951674170 2342009004 2927511255 3122678672 3513013506 3903348340 4684018008 5855022510 7026027012 7806696680 8782533765 9368036016 11710045020 14052054024 15613393360 17565067530 23420090040 28104108048 35130135060 46840180080 70260270120 140520540240