Search a number
-
+
425414233200000 = 2735511192118039
BaseRepresentation
bin110000010111010010111100…
…0010000001001010110000000
32001210021012111100200121001010
41200232211320100021112000
5421224441322144400000
64104440333432440520
7155415110164560342
oct14056457020112600
92053235440617033
10425414233200000
1111360618812a3a0
123b868165b49140
131534b50bc528c5
14770a23186d292
15342b001928d50
hex182e978409580

425414233200000 has 1536 divisors, whose sum is σ = 1629804685824000. Its totient is φ = 97227648000000.

The previous prime is 425414233199983. The next prime is 425414233200001. The reversal of 425414233200000 is 2332414524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425414233200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52918795981 + ... + 52918804019.

It is an arithmetic number, because the mean of its divisors is an integer number (1061070759000).

Almost surely, 2425414233200000 is an apocalyptic number.

425414233200000 is a gapful number since it is divisible by the number (40) 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 425414233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814902342912000).

425414233200000 is an abundant number, since it is smaller than the sum of its proper divisors (1204390452624000).

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

425414233200000 is a wasteful number, since it uses less digits than its factorization.

425414233200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 425414233200000 its reverse (2332414524), we get a palindrome (425416565614524).

The spelling of 425414233200000 in words is "four hundred twenty-five trillion, four hundred fourteen billion, two hundred thirty-three million, two hundred thousand".