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41969878272240 = 2435318641652831
BaseRepresentation
bin10011000101011110111111…
…01011111000100011110000
312111121021120222102112210220
421202233133223320203300
521000113302314202430
6225132410152053040
711561136465064362
oct1142573753704360
9174537528375726
1041969878272240
111241136414aa76
12485a063394180
131a55986486589
14a514d26b4d32
154cbaed578110
hex262bdfaf88f0

41969878272240 has 160 divisors (see below), whose sum is σ = 134319358820352. Its totient is φ = 10829666304000.

The previous prime is 41969878272221. The next prime is 41969878272251. The reversal of 41969878272240 is 4227287896914.

It is a happy number.

It is a super-2 number, since 2×419698782722402 (a number of 28 digits) contains 22 as substring.

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, 63962625 + ... + 64615455.

Almost surely, 241969878272240 is an apocalyptic number.

41969878272240 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 41969878272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67159679410176).

41969878272240 is an abundant number, since it is smaller than the sum of its proper divisors (92349480548112).

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

41969878272240 is a wasteful number, since it uses less digits than its factorization.

41969878272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661519 (or 661513 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 41969878272240 in words is "forty-one trillion, nine hundred sixty-nine billion, eight hundred seventy-eight million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 8641 17282 25923 34564 43205 51846 69128 86410 103692 129615 138256 172820 207384 259230 267871 345640 414768 518460 535742 652831 691280 803613 1036920 1071484 1305662 1339355 1607226 1958493 2073840 2142968 2611324 2678710 3214452 3264155 3916986 4018065 4285936 5222648 5357420 6428904 6528310 7833972 8036130 9792465 10445296 10714840 12857808 13056620 15667944 16072260 19584930 20237761 21429680 26113240 31335888 32144520 39169860 40475522 52226480 60713283 64289040 78339720 80951044 101188805 121426566 156679440 161902088 202377610 242853132 303566415 323804176 404755220 485706264 607132830 809510440 971412528 1214265660 1619020880 2428531320 4857062640 5641112671 11282225342 16923338013 22564450684 28205563355 33846676026 45128901368 56411126710 67693352052 84616690065 90257802736 112822253420 135386704104 169233380130 174874492801 225644506840 270773408208 338466760260 349748985602 451289013680 524623478403 676933520520 699497971204 874372464005 1049246956806 1353867041040 1398995942408 1748744928010 2098493913612 2623117392015 2797991884816 3497489856020 4196987827224 5246234784030 6994979712040 8393975654448 10492469568060 13989959424080 20984939136120 41969878272240