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141387000260 = 225113739411831
BaseRepresentation
bin1000001110101101010…
…0100110100111000100
3111111221111120210102012
42003223110212213010
54304030033002020
6144541410033352
713133462446562
oct2035324464704
9444844523365
10141387000260
1154a64303a50
122349a278858
131044303b6cc
146bb3918a32
153a278997c5
hex20eb5269c4

141387000260 has 96 divisors (see below), whose sum is σ = 325295841024. Its totient is φ = 51193152000.

The previous prime is 141387000259. The next prime is 141387000281. The reversal of 141387000260 is 62000783141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77217545 + ... + 77219375.

It is an arithmetic number, because the mean of its divisors is an integer number (3388498344).

Almost surely, 2141387000260 is an apocalyptic number.

141387000260 is a gapful number since it is divisible by the number (10) 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 141387000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162647920512).

141387000260 is an abundant number, since it is smaller than the sum of its proper divisors (183908840764).

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

141387000260 is a wasteful number, since it uses less digits than its factorization.

141387000260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 141387000260 in words is "one hundred forty-one billion, three hundred eighty-seven million, two hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 373 746 941 1492 1831 1865 1882 3662 3730 3764 4103 4705 7324 7460 8206 9155 9410 10351 16412 18310 18820 20141 20515 20702 36620 40282 41030 41404 51755 80564 82060 100705 103510 201410 207020 350993 402820 682963 701986 1365926 1403972 1722971 1754965 2731852 3414815 3445942 3509930 3860923 6829630 6891884 7019860 7512593 7721846 8614855 13659260 15025186 15443692 17229710 18952681 19304615 30050372 34459420 37562965 37905362 38609230 75125930 75810724 77218460 94763405 150251860 189526810 379053620 642668183 1285336366 2570672732 3213340915 6426681830 7069350013 12853363660 14138700026 28277400052 35346750065 70693500130 141387000260