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142618952448 = 2834717291993
BaseRepresentation
bin1000010011010011000…
…0001000001100000000
3111122010100201110010000
42010310300020030000
54314040422434243
6145303535040000
713206142044120
oct2046460101400
9448110643100
10142618952448
1155536753955
1223782970000
13105ab33c5bb
146c8d3a4c80
153a9aae75d3
hex2134c08300

142618952448 has 720 divisors, whose sum is σ = 532617180480. Its totient is φ = 37010276352.

The previous prime is 142618952423. The next prime is 142618952449. The reversal of 142618952448 is 844259816241.

142618952448 is a `hidden beast` number, since 14 + 2 + 6 + 189 + 5 + 2 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142618952394 and 142618952403.

It is not an unprimeable number, because it can be changed into a prime (142618952449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71558940 + ... + 71560932.

It is an arithmetic number, because the mean of its divisors is an integer number (739746084).

Almost surely, 2142618952448 is an apocalyptic number.

142618952448 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 142618952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266308590240).

142618952448 is an abundant number, since it is smaller than the sum of its proper divisors (389998228032).

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

142618952448 is a wasteful number, since it uses less digits than its factorization.

142618952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2051 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 142618952448 in words is "one hundred forty-two billion, six hundred eighteen million, nine hundred fifty-two thousand, four hundred forty-eight".