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41022345350144 = 2102931119712211
BaseRepresentation
bin10010101001111010000100…
…10100101000110000000000
312101020200211210001211121102
421110331002110220300000
520334102230402201034
6223125223313113532
711432523650121134
oct1124750224506000
9171220753054542
1041022345350144
111208652a555294
1247264a45588a8
1319b7510100b82
14a1b6c64bd3c4
154b214307c97e
hex254f42528c00

41022345350144 has 88 divisors (see below), whose sum is σ = 82298597056368. Its totient is φ = 20437669232640.

The previous prime is 41022345350141. The next prime is 41022345350159. The reversal of 41022345350144 is 44105354322014.

It is a junction number, because it is equal to n+sod(n) for n = 41022345350098 and 41022345350107.

It is not an unprimeable number, because it can be changed into a prime (41022345350141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3359452199 + ... + 3359464409.

It is an arithmetic number, because the mean of its divisors is an integer number (935211330186).

Almost surely, 241022345350144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41022345350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41149298528184).

41022345350144 is an abundant number, since it is smaller than the sum of its proper divisors (41276251706224).

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

41022345350144 is a wasteful number, since it uses less digits than its factorization.

41022345350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23721 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 41022345350144 its reverse (44105354322014), we get a palindrome (85127699672158).

The spelling of 41022345350144 in words is "forty-one trillion, twenty-two billion, three hundred forty-five million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1024 1172 2344 4688 9376 11197 12211 18752 22394 24422 37504 44788 48844 75008 89576 97688 150016 179152 195376 300032 358304 390752 716608 781504 1433216 1563008 2866432 3126016 3280721 3577823 5732864 6252032 6561442 7155646 11465728 12504064 13122884 14311292 26245768 28622584 52491536 57245168 104983072 114490336 136726567 209966144 228980672 273453134 419932288 457961344 546906268 839864576 915922688 1093812536 1679729152 1831845376 2187625072 3359458304 3663690752 4375250144 8750500288 17501000576 35002001152 40060884131 70004002304 80121768262 140008004608 160243536524 320487073048 640974146096 1281948292192 2563896584384 5127793168768 10255586337536 20511172675072 41022345350144