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415042834640 = 24575383168481
BaseRepresentation
bin1100000101000100111…
…10110001000011010000
31110200022001022112202112
412002202132301003100
523300001431202030
6514400144204452
741662101612530
oct6024236610320
91420261275675
10415042834640
11150022950745
1268531009728
13301a5004225
1416133d774c0
15abe236ea95
hex60a27b10d0

415042834640 has 160 divisors (see below), whose sum is σ = 1137180715776. Its totient is φ = 137932554240.

The previous prime is 415042834639. The next prime is 415042834643. The reversal of 415042834640 is 46438240514.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415042834643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379200 + ... + 2547680.

Almost surely, 2415042834640 is an apocalyptic number.

415042834640 is a gapful number since it is divisible by the number (40) 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 415042834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568590357888).

415042834640 is an abundant number, since it is smaller than the sum of its proper divisors (722137881136).

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

415042834640 is a wasteful number, since it uses less digits than its factorization.

415042834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168637 (or 168631 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 415042834640 in words is "four hundred fifteen billion, forty-two million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 83 106 112 140 166 212 265 280 332 371 415 424 530 560 581 664 742 830 848 1060 1162 1328 1484 1660 1855 2120 2324 2905 2968 3320 3710 4240 4399 4648 5810 5936 6640 7420 8798 9296 11620 14840 17596 21995 23240 29680 30793 35192 43990 46480 61586 70384 87980 123172 153965 168481 175960 246344 307930 336962 351920 492688 615860 673924 842405 1179367 1231720 1347848 1684810 2358734 2463440 2695696 3369620 4717468 5896835 6739240 8929493 9434936 11793670 13478480 13983923 17858986 18869872 23587340 27967846 35717972 44647465 47174680 55935692 62506451 69919615 71435944 89294930 94349360 97887461 111871384 125012902 139839230 142871888 178589860 195774922 223742768 250025804 279678460 312532255 357179720 391549844 489437305 500051608 559356920 625064510 714359440 741147919 783099688 978874610 1000103216 1118713840 1250129020 1482295838 1566199376 1957749220 2500258040 2964591676 3705739595 3915498440 5000516080 5188035433 5929183352 7411479190 7830996880 10376070866 11858366704 14822958380 20752141732 25940177165 29645916760 41504283464 51880354330 59291833520 83008566928 103760708660 207521417320 415042834640