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142026241356 = 2232231493114889
BaseRepresentation
bin1000010001000101101…
…1000111010101001100
3111120121001102121100100
42010101123013111030
54311332204210411
6145125043131100
713155354063336
oct2042133072514
9446531377310
10142026241356
115526212427a
1223638373a90
13105155c658c
146c34798456
153a63a69456
hex21116c754c

142026241356 has 72 divisors (see below), whose sum is σ = 374874121440. Its totient is φ = 45253004544.

The previous prime is 142026241351. The next prime is 142026241411. The reversal of 142026241356 is 653142620241.

142026241356 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 262 + 41 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142026241356.

It is not an unprimeable number, because it can be changed into a prime (142026241351) 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, 1178760 + ... + 1293648.

It is an arithmetic number, because the mean of its divisors is an integer number (5206585020).

Almost surely, 2142026241356 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 142026241356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187437060720).

142026241356 is an abundant number, since it is smaller than the sum of its proper divisors (232847880084).

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

142026241356 is a wasteful number, since it uses less digits than its factorization.

142026241356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116415 (or 116410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 142026241356 its reverse (653142620241), we get a palindrome (795168861597).

The spelling of 142026241356 in words is "one hundred forty-two billion, twenty-six million, two hundred forty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1493 2986 4479 5972 8958 13437 17916 26874 34339 53748 68678 103017 114889 137356 206034 229778 309051 344667 412068 459556 618102 689334 1034001 1236204 1378668 2068002 2642447 4136004 5284894 7927341 10569788 15854682 23782023 31709364 47564046 95128092 171529277 343058554 514587831 686117108 1029175662 1543763493 2058351324 3087526986 3945173371 6175053972 7890346742 11835520113 15780693484 23671040226 35506560339 47342080452 71013120678 142026241356