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4140641536 = 2853793863
BaseRepresentation
bin1111011011001101…
…0010110100000000
3101200120100101100221
43312303102310000
531440001012121
61522512152424
7204415605133
oct36663226400
911616311327
104140641536
1118353142a9
12976838714
1350cac4a65
142b3cc421a
151937a6b41
hexf6cd2d00

4140641536 has 72 divisors (see below), whose sum is σ = 8529857280. Its totient is φ = 2005026816.

The previous prime is 4140641503. The next prime is 4140641543. The reversal of 4140641536 is 6351460414.

It is a congruent number.

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, 1069941 + ... + 1073803.

It is an arithmetic number, because the mean of its divisors is an integer number (118470240).

Almost surely, 24140641536 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 4140641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264928640).

4140641536 is an abundant number, since it is smaller than the sum of its proper divisors (4389215744).

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

4140641536 is an equidigital number, since it uses as much as digits as its factorization.

4140641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 4140641536 is about 64347.8168705046. The cubic root of 4140641536 is about 1605.7917097648.

The spelling of 4140641536 in words is "four billion, one hundred forty million, six hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 79 106 128 158 212 256 316 424 632 848 1264 1696 2528 3392 3863 4187 5056 6784 7726 8374 10112 13568 15452 16748 20224 30904 33496 61808 66992 123616 133984 204739 247232 267968 305177 409478 494464 535936 610354 818956 988928 1071872 1220708 1637912 2441416 3275824 4882832 6551648 9765664 13103296 16174381 19531328 26206592 32348762 39062656 52413184 64697524 78125312 129395048 258790096 517580192 1035160384 2070320768 4140641536