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142252102728 = 2332103107179269
BaseRepresentation
bin1000010001111011100…
…0101101010001001000
3111121011210102112220100
42010132320231101020
54312313014241403
6145203312125400
713164065631321
oct2043670552110
9447153375810
10142252102728
115536867026a
122369bb36860
1310550336b68
146c5678d448
153a787d12a3
hex211ee2d448

142252102728 has 96 divisors (see below), whose sum is σ = 392644324800. Its totient is φ = 46517894784.

The previous prime is 142252102703. The next prime is 142252102747. The reversal of 142252102728 is 827201252241.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 142252102692 and 142252102701.

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, 703878 + ... + 883146.

It is an arithmetic number, because the mean of its divisors is an integer number (4090045050).

Almost surely, 2142252102728 is an apocalyptic number.

142252102728 is a gapful number since it is divisible by the number (18) 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 142252102728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196322162400).

142252102728 is an abundant number, since it is smaller than the sum of its proper divisors (250392222072).

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

142252102728 is a wasteful number, since it uses less digits than its factorization.

142252102728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179491 (or 179484 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 142252102728 its reverse (827201252241), we get a palindrome (969453354969).

The spelling of 142252102728 in words is "one hundred forty-two billion, two hundred fifty-two million, one hundred two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 107 206 214 309 321 412 428 618 642 824 856 927 963 1236 1284 1854 1926 2472 2568 3708 3852 7416 7704 11021 22042 33063 44084 66126 88168 99189 132252 179269 198378 264504 358538 396756 537807 717076 793512 1075614 1434152 1613421 2151228 3226842 4302456 6453684 12907368 18464707 19181783 36929414 38363566 55394121 57545349 73858828 76727132 110788242 115090698 147717656 153454264 166182363 172636047 221576484 230181396 332364726 345272094 443152968 460362792 664729452 690544188 1329458904 1381088376 1975723649 3951447298 5927170947 7902894596 11854341894 15805789192 17781512841 23708683788 35563025682 47417367576 71126051364 142252102728