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142119141720 = 233553127251701
BaseRepresentation
bin1000010001011011110…
…1100000000101011000
3111120211112020102200120
42010112331200011120
54312030000013340
6145142202233240
713160562526023
oct2042675400530
9446745212616
10142119141720
11552aa606736
12236634b5820
131052b9226ca
146c42c5c1ba
153a6bcba4d0
hex2116f60158

142119141720 has 256 divisors, whose sum is σ = 440193761280. Its totient is φ = 36691200000.

The previous prime is 142119141701. The next prime is 142119141739. The reversal of 142119141720 is 27141911241.

It is an interprime number because it is at equal distance from previous prime (142119141701) and next prime (142119141739).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202737370 + ... + 202738070.

It is an arithmetic number, because the mean of its divisors is an integer number (1719506880).

Almost surely, 2142119141720 is an apocalyptic number.

142119141720 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 142119141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220096880640).

142119141720 is an abundant number, since it is smaller than the sum of its proper divisors (298074619560).

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

142119141720 is a wasteful number, since it uses less digits than its factorization.

142119141720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 142119141720 in words is "one hundred forty-two billion, one hundred nineteen million, one hundred forty-one thousand, seven hundred twenty".