Search a number
-
+
142312095684 = 2232113141433653
BaseRepresentation
bin1000010010001001110…
…1100011111111000100
3111121022222022111202200
42010202131203333010
54312423344030214
6145213254034500
713165424566023
oct2044235437704
9447288274680
10142312095684
1155399516920
12236b8048a30
131055c8b0855
146c607288ba
153a7dbd1d09
hex2122763fc4

142312095684 has 288 divisors, whose sum is σ = 416571337728. Its totient is φ = 40559616000.

The previous prime is 142312095649. The next prime is 142312095697. The reversal of 142312095684 is 486590213241.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217935502 + ... + 217936154.

It is an arithmetic number, because the mean of its divisors is an integer number (1446428256).

Almost surely, 2142312095684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142312095684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208285668864).

142312095684 is an abundant number, since it is smaller than the sum of its proper divisors (274259242044).

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

142312095684 is a wasteful number, since it uses less digits than its factorization.

142312095684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 142312095684 in words is "one hundred forty-two billion, three hundred twelve million, ninety-five thousand, six hundred eighty-four".