Search a number
-
+
141340411141110 = 2325179710344920593
BaseRepresentation
bin100000001000110001100000…
…111111111001101111110110
3200112110000022021021122220100
4200020301200333321233312
5122011210130223003420
61220334515525414530
741525336102014416
oct4010614077715766
9615400267248810
10141340411141110
114104314a396915
1213a2887586a446
1360b3460acca4c
1426c8cab8a8646
1511518c605d190
hex808c60ff9bf6

141340411141110 has 384 divisors, whose sum is σ = 397833178579200. Its totient is φ = 34687992987648.

The previous prime is 141340411141049. The next prime is 141340411141177. The reversal of 141340411141110 is 11141114043141.

141340411141110 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 404 + 1 + 1 + 141 + 110 = 666.

It is a super-2 number, since 2×1413404111411102 (a number of 29 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 191 ways as a sum of consecutive naturals, for example, 6863506974 + ... + 6863527566.

It is an arithmetic number, because the mean of its divisors is an integer number (1036023902550).

Almost surely, 2141340411141110 is an apocalyptic number.

141340411141110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141340411141110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198916589289600).

141340411141110 is an abundant number, since it is smaller than the sum of its proper divisors (256492767438090).

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

141340411141110 is a wasteful number, since it uses less digits than its factorization.

141340411141110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 141340411141110 its reverse (11141114043141), we get a palindrome (152481525184251).

The spelling of 141340411141110 in words is "one hundred forty-one trillion, three hundred forty billion, four hundred eleven million, one hundred forty-one thousand, one hundred ten".