Search a number
-
+
142983783936 = 293278353407
BaseRepresentation
bin1000010100101001111…
…1110110011000000000
3111200001210012210211100
42011022133312120000
54320312322041221
6145404050414400
713221162052560
oct2051237663000
9450053183740
10142983783936
1155703689184
1223864b91400
1310638ab9516
146cc5a12da0
153abcb60926
hex214a7f6600

142983783936 has 240 divisors, whose sum is σ = 477303450624. Its totient is φ = 40359555072.

The previous prime is 142983783919. The next prime is 142983783949. The reversal of 142983783936 is 639387389241.

142983783936 is a `hidden beast` number, since 1 + 429 + 83 + 78 + 39 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2650545 + ... + 2703951.

Almost surely, 2142983783936 is an apocalyptic number.

142983783936 is a gapful number since it is divisible by the number (16) 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 142983783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238651725312).

142983783936 is an abundant number, since it is smaller than the sum of its proper divisors (334319666688).

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

142983783936 is an equidigital number, since it uses as much as digits as its factorization.

142983783936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53521 (or 53502 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 142983783936 in words is "one hundred forty-two billion, nine hundred eighty-three million, seven hundred eighty-three thousand, nine hundred thirty-six".