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115567406040 = 23353161509287
BaseRepresentation
bin110101110100001011…
…0101010101111011000
3102001022002110111200210
41223220112222233120
53343140223443130
6125031350331120
711230603512642
oct1535026525730
9361262414623
10115567406040
1145014873729
121a493359aa0
13ab89a817c8
145844785892
153015c7e5b0
hex1ae85aabd8

115567406040 has 128 divisors (see below), whose sum is σ = 363753861120. Its totient is φ = 29334873600.

The previous prime is 115567406039. The next prime is 115567406069. The reversal of 115567406040 is 40604765511.

It is a self number, because there is not a number n which added to its sum of digits gives 115567406040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27724 + ... + 481563.

It is an arithmetic number, because the mean of its divisors is an integer number (2841827040).

Almost surely, 2115567406040 is an apocalyptic number.

115567406040 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 115567406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181876930560).

115567406040 is an abundant number, since it is smaller than the sum of its proper divisors (248186455080).

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

115567406040 is a wasteful number, since it uses less digits than its factorization.

115567406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509393 (or 509389 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 115567406040 in words is "one hundred fifteen billion, five hundred sixty-seven million, four hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 915 930 1220 1240 1464 1830 1860 1891 2440 3660 3720 3782 5673 7320 7564 9455 11346 15128 18910 22692 28365 37820 45384 56730 75640 113460 226920 509287 1018574 1527861 2037148 2546435 3055722 4074296 5092870 6111444 7639305 10185740 12222888 15278610 15787897 20371480 30557220 31066507 31575794 47363691 61114440 62133014 63151588 78939485 93199521 94727382 124266028 126303176 155332535 157878970 186399042 189454764 236818455 248532056 310665070 315757940 372798084 378909528 465997605 473636910 621330140 631515880 745596168 931995210 947273820 963061717 1242660280 1863990420 1894547640 1926123434 2889185151 3727980840 3852246868 4815308585 5778370302 7704493736 9630617170 11556740604 14445925755 19261234340 23113481208 28891851510 38522468680 57783703020 115567406040