Search a number
-
+
142241233103420 = 22511280923726337
BaseRepresentation
bin100000010101111000011110…
…001010111110101000111100
3200122122010111002201202110012
4200111320132022332220330
5122120440021133302140
61222304415334402352
741650406233242503
oct4025703612765074
9618563432652405
10142241233103420
1141360193958100
1213b533792003b8
13614a3a195b389
14271a7260d583a
15116a04a7ee265
hex815e1e2bea3c

142241233103420 has 72 divisors (see below), whose sum is σ = 328334892878832. Its totient is φ = 51723374376960.

The previous prime is 142241233103419. The next prime is 142241233103423. The reversal of 142241233103420 is 24301332142241.

It is a happy number.

142241233103420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142241233103423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195470492 + ... + 196196828.

Almost surely, 2142241233103420 is an apocalyptic number.

142241233103420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142241233103420 is an abundant number, since it is smaller than the sum of its proper divisors (186093659775412).

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

142241233103420 is a wasteful number, since it uses less digits than its factorization.

142241233103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807291 (or 807278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 142241233103420 its reverse (24301332142241), we get a palindrome (166542565245661).

The spelling of 142241233103420 in words is "one hundred forty-two trillion, two hundred forty-one billion, two hundred thirty-three million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 80923 161846 323692 404615 726337 809230 890153 1452674 1618460 1780306 2905348 3560612 3631685 4450765 7263370 7989707 8901530 9791683 14526740 15979414 17803060 19583366 31958828 39166732 39948535 48958415 79897070 87886777 97916830 159794140 175773554 195833660 351547108 439433885 878867770 1757735540 58777369051 117554738102 235109476204 293886845255 587773690510 646551059561 1175547381020 1293102119122 2586204238244 3232755297805 6465510595610 7112061655171 12931021191220 14224123310342 28448246620684 35560308275855 71120616551710 142241233103420