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3999115340 = 2251122371849
BaseRepresentation
bin1110111001011101…
…1010100001001100
3101022201001002220222
43232113122201030
531142233142330
61500454530512
7201046630253
oct35627324114
911281032828
103999115340
11177243a600
12937366a38
134b96a1b4c
1429d1a379a
1518614d0e5
hexee5da84c

3999115340 has 72 divisors (see below), whose sum is σ = 9632498400. Its totient is φ = 1390977280.

The previous prime is 3999115303. The next prime is 3999115381. The reversal of 3999115340 is 435119993.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3999115291 and 3999115300.

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 23 ways as a sum of consecutive naturals, for example, 19736 + ... + 91584.

It is an arithmetic number, because the mean of its divisors is an integer number (133784700).

Almost surely, 23999115340 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 3999115340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816249200).

3999115340 is an abundant number, since it is smaller than the sum of its proper divisors (5633383060).

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

3999115340 is a wasteful number, since it uses less digits than its factorization.

3999115340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71903 (or 71890 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 44.

The square root of 3999115340 is about 63238.5589652389. The cubic root of 3999115340 is about 1587.2840174886.

The spelling of 3999115340 in words is "three billion, nine hundred ninety-nine million, one hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 55660 71849 143698 287396 359245 718490 790339 1436980 1580678 1652527 3161356 3305054 3951695 6610108 7903390 8262635 8693729 15806780 16525270 17387458 18177797 33050540 34774916 36355594 43468645 72711188 86937290 90888985 173874580 181777970 199955767 363555940 399911534 799823068 999778835 1999557670 3999115340