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142303607040 = 2835747731543
BaseRepresentation
bin1000010010000111110…
…1001011100100000000
3111121022101100020112110
42010201331023210000
54312414210411130
6145212352055320
713165262462550
oct2044175134400
9447271306473
10142303607040
1155394749211
12236b5234540
131055abcab9a
146c5d559160
153a7d0a6ab0
hex2121f4b900

142303607040 has 576 divisors, whose sum is σ = 538074464256. Its totient is φ = 31378046976.

The previous prime is 142303607029. The next prime is 142303607093. The reversal of 142303607040 is 40706303241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142303606989 and 142303607007.

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, 92224509 + ... + 92226051.

It is an arithmetic number, because the mean of its divisors is an integer number (934157056).

Almost surely, 2142303607040 is an apocalyptic number.

142303607040 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 142303607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269037232128).

142303607040 is an abundant number, since it is smaller than the sum of its proper divisors (395770857216).

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

142303607040 is a wasteful number, since it uses less digits than its factorization.

142303607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 142303607040 in words is "one hundred forty-two billion, three hundred three million, six hundred seven thousand, forty".