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7413227140 = 22511211327109
BaseRepresentation
bin1101110011101110…
…01101111010000100
3201010122021221212011
412321313031322010
5110140241232030
63223335104004
7351464251054
oct67167157204
921118257764
107413227140
113164634300
12152a812004
13911ac8c47
145047a5564
152d5c41b2a
hex1b9dcde84

7413227140 has 72 divisors (see below), whose sum is σ = 17263756440. Its totient is φ = 2671764480.

The previous prime is 7413227119. The next prime is 7413227279. The reversal of 7413227140 is 417223147.

It can be written as a sum of positive squares in 4 ways, for example, as 81757764 + 7331469376 = 9042^2 + 85624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259906 + ... + 287014.

It is an arithmetic number, because the mean of its divisors is an integer number (239774395).

Almost surely, 27413227140 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 7413227140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631878220).

7413227140 is an abundant number, since it is smaller than the sum of its proper divisors (9850529300).

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

7413227140 is a wasteful number, since it uses less digits than its factorization.

7413227140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27253 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 7413227140 is about 86100.0995353664. The cubic root of 7413227140 is about 1949.8555352104.

The spelling of 7413227140 in words is "seven billion, four hundred thirteen million, two hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 121 220 226 242 452 484 565 605 1130 1210 1243 2260 2420 2486 4972 6215 12430 13673 24860 27109 27346 54218 54692 68365 108436 135545 136730 271090 273460 298199 542180 596398 1192796 1490995 2981990 3063317 3280189 5963980 6126634 6560378 12253268 13120756 15316585 16400945 30633170 32801890 33696487 61266340 65603780 67392974 134785948 168482435 336964870 370661357 673929740 741322714 1482645428 1853306785 3706613570 7413227140