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104314140440 = 23535338319289
BaseRepresentation
bin110000100100110011…
…0110111011100011000
3100222020211110101100222
41201021212313130120
53202113404443230
6115530554015212
710352000364266
oct1411146673430
9328224411328
10104314140440
114026a681724
1218272717508
139ab5540273
145097dc9436
152aa7d636e5
hex18499b7718

104314140440 has 64 divisors (see below), whose sum is σ = 235998489600. Its totient is φ = 41496666112.

The previous prime is 104314140349. The next prime is 104314140481. The reversal of 104314140440 is 44041413401.

104314140440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5398316 + ... + 5417604.

It is an arithmetic number, because the mean of its divisors is an integer number (3687476400).

Almost surely, 2104314140440 is an apocalyptic number.

104314140440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104314140440 is an abundant number, since it is smaller than the sum of its proper divisors (131684349160).

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

104314140440 is a wasteful number, since it uses less digits than its factorization.

104314140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 104314140440 its reverse (44041413401), we get a palindrome (148355553841).

The spelling of 104314140440 in words is "one hundred four billion, three hundred fourteen million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 353 383 706 766 1412 1532 1765 1915 2824 3064 3530 3830 7060 7660 14120 15320 19289 38578 77156 96445 135199 154312 192890 270398 385780 540796 675995 771560 1081592 1351990 2703980 5407960 6809017 7387687 13618034 14775374 27236068 29550748 34045085 36938435 54472136 59101496 68090170 73876870 136180340 147753740 272360680 295507480 2607853511 5215707022 10431414044 13039267555 20862828088 26078535110 52157070220 104314140440