Search a number
-
+
140894208000 = 21633537213
BaseRepresentation
bin1000001100110111110…
…0110000000000000000
3111110200011022100112000
42003031330300000000
54302022404124000
6144420443504000
713115330002500
oct2031574600000
9443604270460
10140894208000
115483111a917
1223381228000
1310394c0b260
146b682bba00
1539e94a7000
hex20cdf30000

140894208000 has 1632 divisors, whose sum is σ = 652670665920. Its totient is φ = 29727129600.

The previous prime is 140894207983. The next prime is 140894208001. The reversal of 140894208000 is 802498041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140894208001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10838015994 + ... + 10838016006.

Almost surely, 2140894208000 is an apocalyptic number.

140894208000 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 140894208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326335332960).

140894208000 is an abundant number, since it is smaller than the sum of its proper divisors (511776457920).

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

140894208000 is an frugal number, since it uses more digits than its factorization.

140894208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 140894208000 in words is "one hundred forty billion, eight hundred ninety-four million, two hundred eight thousand".