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15014010020240 = 2457211247966083
BaseRepresentation
bin1101101001111011100010…
…1110111110000110010000
31222011022210011200011000002
43122132320232332012100
53431442143031121430
651533201352545132
73106504110330500
oct332367056760620
958138704604002
1015014010020240
114869451273100
1218259956b21a8
1384ba7992949a
1439c979439a00
151b08375c6845
hexda7b8bbe190

15014010020240 has 360 divisors, whose sum is σ = 44727744741120. Its totient is φ = 4669851056640.

The previous prime is 15014010020201. The next prime is 15014010020279. The reversal of 15014010020240 is 4202001041051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15014010020201) and next prime (15014010020279).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227166239 + ... + 227232321.

It is an arithmetic number, because the mean of its divisors is an integer number (124243735392).

Almost surely, 215014010020240 is an apocalyptic number.

15014010020240 is a gapful number since it is divisible by the number (10) 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 15014010020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363872370560).

15014010020240 is an abundant number, since it is smaller than the sum of its proper divisors (29713734720880).

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

15014010020240 is a wasteful number, since it uses less digits than its factorization.

15014010020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66611 (or 66587 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 15014010020240 its reverse (4202001041051), we get a palindrome (19216011061291).

The spelling of 15014010020240 in words is "fifteen trillion, fourteen billion, ten million, twenty thousand, two hundred forty".