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41245140240 = 243251737611493
BaseRepresentation
bin100110011010011001…
…101110010100010000
310221110110000012210200
4212122121232110100
51133432223441430
630540414255200
72660043623163
oct463231562420
9127413005720
1041245140240
1116545896367
127bb0ab7500
133b74020135
141dd3acbada
151115e8c460
hex99a66e510

41245140240 has 480 divisors, whose sum is σ = 153198560736. Its totient is φ = 9900195840.

The previous prime is 41245140227. The next prime is 41245140253. The reversal of 41245140240 is 4204154214.

41245140240 is a `hidden beast` number, since 4 + 124 + 514 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41245140227) and next prime (41245140253).

It can be written as a sum of positive squares in 16 ways, for example, as 1320304896 + 39924835344 = 36336^2 + 199812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27624934 + ... + 27626426.

Almost surely, 241245140240 is an apocalyptic number.

41245140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41245140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76599280368).

41245140240 is an abundant number, since it is smaller than the sum of its proper divisors (111953420496).

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

41245140240 is a wasteful number, since it uses less digits than its factorization.

41245140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41245140240 its reverse (4204154214), we get a palindrome (45449294454).

The spelling of 41245140240 in words is "forty-one billion, two hundred forty-five million, one hundred forty thousand, two hundred forty".