Search a number
-
+
142466400603666 = 232174143383689509
BaseRepresentation
bin100000011001001010001011…
…001100110100111000010010
3200200102122200102002220220100
4200121022023030310320102
5122133132142023304131
61223000054431353230
742002600134356006
oct4031121314647022
9620378612086810
10142466400603666
114143773005a787
1213b8ab39382816
1361656a70cc319
1427275a68c2706
151170d284d07e6
hex81928b334e12

142466400603666 has 192 divisors, whose sum is σ = 343487448944640. Its totient is φ = 42479870791680.

The previous prime is 142466400603629. The next prime is 142466400603701. The reversal of 142466400603666 is 666306004664241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206275320 + ... + 206964828.

It is an arithmetic number, because the mean of its divisors is an integer number (1788997129920).

Almost surely, 2142466400603666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142466400603666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171743724472320).

142466400603666 is an abundant number, since it is smaller than the sum of its proper divisors (201021048340974).

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

142466400603666 is a wasteful number, since it uses less digits than its factorization.

142466400603666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690001 (or 689998 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 142466400603666 in words is "one hundred forty-two trillion, four hundred sixty-six billion, four hundred million, six hundred three thousand, six hundred sixty-six".