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280299042240 = 263572310311759
BaseRepresentation
bin1000001010000110001…
…11111111010111000000
3222210111112002200022220
410011003013333113000
514043023023322430
6332433445131040
726152033355610
oct4050307772700
9883445080286
10280299042240
11a8968558128
12463a76b9a80
13205803a7b59
14d7d0860a40
157457d13110
hex41431ff5c0

280299042240 has 448 divisors, whose sum is σ = 1062939525120. Its totient is φ = 61188526080.

The previous prime is 280299042053. The next prime is 280299042251. The reversal of 280299042240 is 42240992082.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2802990422402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 280299042192 and 280299042201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159350481 + ... + 159352239.

Almost surely, 2280299042240 is an apocalyptic number.

280299042240 is a gapful number since it is divisible by the number (20) 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 280299042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531469762560).

280299042240 is an abundant number, since it is smaller than the sum of its proper divisors (782640482880).

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

280299042240 is a wasteful number, since it uses less digits than its factorization.

280299042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 280299042240 in words is "two hundred eighty billion, two hundred ninety-nine million, forty-two thousand, two hundred forty".