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142401345020 = 22511282771153
BaseRepresentation
bin1000010010011111001…
…0000001010111111100
3111121120012020211211122
42010213302001113330
54313114221020040
6145230203010112
713200560314124
oct2044762012774
9447505224748
10142401345020
1155434935200
1223721b09938
131057522bbcc
146c6c51bc84
153a869611b5
hex2127c815fc

142401345020 has 72 divisors (see below), whose sum is σ = 329102050032. Its totient is φ = 51718965760.

The previous prime is 142401345011. The next prime is 142401345089. The reversal of 142401345020 is 20543104241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965764 + ... + 2036916.

It is an arithmetic number, because the mean of its divisors is an integer number (4570861806).

Almost surely, 2142401345020 is an apocalyptic number.

142401345020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142401345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164551025016).

142401345020 is an abundant number, since it is smaller than the sum of its proper divisors (186700705012).

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

142401345020 is a wasteful number, since it uses less digits than its factorization.

142401345020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72011 (or 71998 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 142401345020 its reverse (20543104241), we get a palindrome (162944449261).

The spelling of 142401345020 in words is "one hundred forty-two billion, four hundred one million, three hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 827 1210 1654 2420 3308 4135 8270 9097 16540 18194 36388 45485 71153 90970 100067 142306 181940 200134 284612 355765 400268 500335 711530 782683 1000670 1423060 1565366 2001340 3130732 3913415 7826830 8609513 15653660 17219026 34438052 43047565 58843531 86095130 117687062 172190260 235374124 294217655 588435310 647278841 1176870620 1294557682 2589115364 3236394205 6472788410 7120067251 12945576820 14240134502 28480269004 35600336255 71200672510 142401345020