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142108273082880 = 29375132295179
BaseRepresentation
bin100000010011111100101001…
…001000110000001000000000
3200122011102021212222220000000
4200103330221020300020000
5122111300220402123010
61222123350040000000
741634661324563606
oct4023745110601000
9618142255886000
10142108273082880
1141309864444805
1213b31651160000
13613a9a275c700
14271411186d876
151166867b927c0
hex813f29230200

142108273082880 has 1920 divisors, whose sum is σ = 572536042848000. Its totient is φ = 33767752531968.

The previous prime is 142108273082869. The next prime is 142108273082917. The reversal of 142108273082880 is 88280372801241.

142108273082880 is a `hidden beast` number, since 1 + 4 + 210 + 8 + 27 + 308 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1421082730828802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27439324131 + ... + 27439329309.

It is an arithmetic number, because the mean of its divisors is an integer number (298195855650).

Almost surely, 2142108273082880 is an apocalyptic number.

142108273082880 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 142108273082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286268021424000).

142108273082880 is an abundant number, since it is smaller than the sum of its proper divisors (430427769765120).

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

142108273082880 is an frugal number, since it uses more digits than its factorization.

142108273082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 142108273082880 in words is "one hundred forty-two trillion, one hundred eight billion, two hundred seventy-three million, eighty-two thousand, eight hundred eighty".