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41951353452240 = 2435975501327583
BaseRepresentation
bin10011000100111100011111…
…00001010011011011010000
312111112111202221201012002110
421202132033201103123100
520444312332440432430
6225120104040545320
711556612434522661
oct1142361741233320
9174474687635073
1041951353452240
1112404518399581
124856553482240
131a53cc35c091b
14a506562b1368
154cb3b70a27b0
hex26278f8536d0

41951353452240 has 160 divisors (see below), whose sum is σ = 131414194953216. Its totient is φ = 11069650944000.

The previous prime is 41951353452227. The next prime is 41951353452251. The reversal of 41951353452240 is 4225435315914.

It is a super-2 number, since 2×419513534522402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41951353452240.

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, 127899489 + ... + 128227071.

Almost surely, 241951353452240 is an apocalyptic number.

41951353452240 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 41951353452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707097476608).

41951353452240 is an abundant number, since it is smaller than the sum of its proper divisors (89462841500976).

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

41951353452240 is a wasteful number, since it uses less digits than its factorization.

41951353452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333197 (or 333191 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 41951353452240 in words is "forty-one trillion, nine hundred fifty-one billion, three hundred fifty-three million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5501 5820 7760 11002 11640 16503 22004 23280 27505 33006 44008 55010 66012 82515 88016 110020 132024 165030 220040 264048 327583 330060 440080 533597 655166 660120 982749 1067194 1310332 1320240 1600791 1637915 1965498 2134388 2620664 2667985 3201582 3275830 3930996 4268776 4913745 5241328 5335970 6403164 6551660 7861992 8003955 8537552 9827490 10671940 12806328 13103320 15723984 16007910 19654980 21343880 25612656 26206640 31775551 32015820 39309960 42687760 63551102 64031640 78619920 95326653 127102204 128063280 158877755 190653306 254204408 317755510 381306612 476633265 508408816 635511020 762613224 953266530 1271022040 1525226448 1802034083 1906533060 2542044080 3604068166 3813066120 5406102249 7208136332 7626132240 9010170415 10812204498 14416272664 18020340830 21624408996 27030511245 28832545328 36040681660 43248817992 54061022490 72081363320 86497635984 108122044980 144162726640 174797306051 216244089960 349594612102 432488179920 524391918153 699189224204 873986530255 1048783836306 1398378448408 1747973060510 2097567672612 2621959590765 2796756896816 3495946121020 4195135345224 5243919181530 6991892242040 8390270690448 10487838363060 13983784484080 20975676726120 41951353452240