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7400141344 = 251744330707
BaseRepresentation
bin1101110010001010…
…10011001000100000
3201002201200010112001
412321011103020200
5110123414010334
63222150413344
7351245110051
oct67105231040
921081603461
107400141344
1131582067a2
121526361254
1390c19697b
14502b5a728
152d4a09714
hex1b9153220

7400141344 has 48 divisors (see below), whose sum is σ = 15461355168. Its totient is φ = 3474445312.

The previous prime is 7400141339. The next prime is 7400141363. The reversal of 7400141344 is 4431410047.

It is a super-2 number, since 2×74001413442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225639 + ... + 256345.

It is an arithmetic number, because the mean of its divisors is an integer number (322111566).

Almost surely, 27400141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7400141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730677584).

7400141344 is an abundant number, since it is smaller than the sum of its proper divisors (8061213824).

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

7400141344 is a wasteful number, since it uses less digits than its factorization.

7400141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31177 (or 31169 counting only the distinct ones).

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

The square root of 7400141344 is about 86024.0742118158. The cubic root of 7400141344 is about 1948.7075673393.

The spelling of 7400141344 in words is "seven billion, four hundred million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 443 544 886 1772 3544 7088 7531 14176 15062 30124 30707 60248 61414 120496 122828 240992 245656 491312 522019 982624 1044038 2088076 4176152 8352304 13603201 16704608 27206402 54412804 108825608 217651216 231254417 435302432 462508834 925017668 1850035336 3700070672 7400141344