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7144060420 = 2257194362459
BaseRepresentation
bin1101010011101000…
…11011011000000100
3200102212210212112101
412221310123120010
5104112334413140
63140522001444
7342015340330
oct65164333004
920385725471
107144060420
1130366aa372
121474646284
1389b1054b3
144bab3a7c0
152bc2c399a
hex1a9d1b604

7144060420 has 96 divisors (see below), whose sum is σ = 18468172800. Its totient is φ = 2266475904.

The previous prime is 7144060409. The next prime is 7144060423. The reversal of 7144060420 is 240604417.

It is a super-2 number, since 2×71440604202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (7144060423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83151 + ... + 145609.

It is an arithmetic number, because the mean of its divisors is an integer number (192376800).

Almost surely, 27144060420 is an apocalyptic number.

7144060420 is a gapful number since it is divisible by the number (70) 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 7144060420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234086400).

7144060420 is an abundant number, since it is smaller than the sum of its proper divisors (11324112380).

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

7144060420 is a wasteful number, since it uses less digits than its factorization.

7144060420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62537 (or 62535 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 7144060420 is about 84522.5438566540. The cubic root of 7144060420 is about 1925.9649219899.

Adding to 7144060420 its reverse (240604417), we get a palindrome (7384664837).

The spelling of 7144060420 in words is "seven billion, one hundred forty-four million, sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 70 76 86 95 133 140 172 190 215 266 301 380 430 532 602 665 817 860 1204 1330 1505 1634 2660 3010 3268 4085 5719 6020 8170 11438 16340 22876 28595 57190 62459 114380 124918 249836 312295 437213 624590 874426 1186721 1249180 1748852 2186065 2373442 2685737 4372130 4746884 5371474 5933605 8307047 8744260 10742948 11867210 13428685 16614094 18800159 23734420 26857370 33228188 37600318 41535235 51029003 53714740 75200636 83070470 94000795 102058006 166140940 188001590 204116012 255145015 357203021 376003180 510290030 714406042 1020580060 1428812084 1786015105 3572030210 7144060420