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41141455220240 = 24553103127773771
BaseRepresentation
bin10010101101010111111011…
…10100101110111000010000
312101200002021202022011102122
421112223331310232320100
520343030200014021430
6223300042411033412
711444241420243464
oct1126537564567020
9171602252264378
1041141455220240
1112121aa1a09661
1247455a613b868
1319c5812a6924b
14a233855184a4
154b52b4d05ee5
hex256afdd2ee10

41141455220240 has 160 divisors (see below), whose sum is σ = 98483268738816. Its totient is φ = 15976584898560.

The previous prime is 41141455220101. The next prime is 41141455220251. The reversal of 41141455220240 is 4202255414114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41141455220240.

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, 557654555 + ... + 557728325.

Almost surely, 241141455220240 is an apocalyptic number.

41141455220240 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 41141455220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49241634369408).

41141455220240 is an abundant number, since it is smaller than the sum of its proper divisors (57341813518576).

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

41141455220240 is a wasteful number, since it uses less digits than its factorization.

41141455220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75217 (or 75211 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 41141455220240 in words is "forty-one trillion, one hundred forty-one billion, four hundred fifty-five million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 103 106 206 212 265 412 424 515 530 824 848 1030 1060 1277 1648 2060 2120 2554 4120 4240 5108 5459 6385 8240 10216 10918 12770 20432 21836 25540 27295 43672 51080 54590 67681 73771 87344 102160 109180 131531 135362 147542 218360 263062 270724 295084 338405 368855 436720 526124 541448 590168 657655 676810 737710 1052248 1082896 1180336 1315310 1353620 1475420 2104496 2630620 2707240 2950840 3909863 5261240 5414480 5901680 6971143 7598413 7819726 10522480 13942286 15196826 15639452 19549315 27884572 30393652 31278904 34855715 37992065 39098630 55769144 60787304 62557808 69711430 75984130 78197260 94205567 111538288 121574608 139422860 151968260 156394520 188411134 278845720 303936520 312789040 376822268 402715889 471027835 557691440 607873040 753644536 805431778 942055670 1507289072 1610863556 1884111340 2013579445 3221727112 3768222680 4027158890 4992895051 6443454224 7536445360 8054317780 9703173401 9985790102 16108635560 19406346802 19971580204 24964475255 32217271120 38812693604 39943160408 48515867005 49928950510 77625387208 79886320816 97031734010 99857901020 155250774416 194063468020 199715802040 388126936040 399431604080 514268190253 776253872080 1028536380506 2057072761012 2571340951265 4114145522024 5142681902530 8228291044048 10285363805060 20570727610120 41141455220240