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241416145310160 = 24352343734808933
BaseRepresentation
bin110110111001000100010011…
…100101011001000111010000
31011122210011021020210121020010
4312321010103211121013100
5223120330231144411120
62213241013542314520
7101564512064036442
oct6671042345310720
91148704236717203
10241416145310160
116aa1701535a147
12230b0096728a40
13a4925a2362a72
144388864aa4492
151cd9bc45667e0
hexdb91139591d0

241416145310160 has 80 divisors (see below), whose sum is σ = 780928748325504. Its totient is φ = 61578610976256.

The previous prime is 241416145310129. The next prime is 241416145310161. The reversal of 241416145310160 is 61013541614142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241416145310161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21867398947 + ... + 21867409986.

Almost surely, 2241416145310160 is an apocalyptic number.

241416145310160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241416145310160 is an abundant number, since it is smaller than the sum of its proper divisors (539512603015344).

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

241416145310160 is a wasteful number, since it uses less digits than its factorization.

241416145310160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43734808972 (or 43734808966 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 241416145310160 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-five million, three hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 43734808933 87469617866 131204426799 174939235732 218674044665 262408853598 349878471464 437348089330 524817707196 656022133995 699756942928 874696178660 1005900605459 1049635414392 1312044267990 1749392357320 2011801210918 2099270828784 2624088535980 3017701816377 3498784714640 4023602421836 5029503027295 5248177071960 6035403632754 8047204843672 10059006054590 10496354143920 12070807265508 15088509081885 16094409687344 20118012109180 24141614531016 30177018163770 40236024218360 48283229062032 60354036327540 80472048436720 120708072655080 241416145310160