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4130401312 = 253111336847
BaseRepresentation
bin1111011000110000…
…1110110000100000
3101122212002010102101
43312030032300200
531424340320222
61521504500144
7204232555222
oct36614166040
911585063371
104130401312
11182a55a704
1297331a654
1350a94aa5b
142b27ba412
15192932927
hexf630ec20

4130401312 has 48 divisors (see below), whose sum is σ = 8468554752. Its totient is φ = 1980840960.

The previous prime is 4130401309. The next prime is 4130401337. The reversal of 4130401312 is 2131040314.

It is a self number, because there is not a number n which added to its sum of digits gives 4130401312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93673 + ... + 130519.

It is an arithmetic number, because the mean of its divisors is an integer number (176428224).

Almost surely, 24130401312 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 4130401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234277376).

4130401312 is an abundant number, since it is smaller than the sum of its proper divisors (4338153440).

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

4130401312 is a wasteful number, since it uses less digits than its factorization.

4130401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37001 (or 36993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4130401312 is about 64268.1982943353. The cubic root of 4130401312 is about 1604.4668553968.

Adding to 4130401312 its reverse (2131040314), we get a palindrome (6261441626).

The spelling of 4130401312 in words is "four billion, one hundred thirty million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 452 496 904 992 1808 3503 3616 7006 14012 28024 36847 56048 73694 112096 147388 294776 589552 1142257 1179104 2284514 4163711 4569028 8327422 9138056 16654844 18276112 33309688 36552224 66619376 129075041 133238752 258150082 516300164 1032600328 2065200656 4130401312