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322425378240 = 26357317239241
BaseRepresentation
bin1001011000100100000…
…11001101010111000000
31010211020101020021110120
410230102003031113000
520240311344100430
6404041542500240
732203000332000
oct4542203152700
91124211207416
10322425378240
111148157a1949
12525a3734680
1324534b395a4
14118695b2000
1585c1315610
hex4b120cd5c0

322425378240 has 896 divisors, whose sum is σ = 1274600448000. Its totient is φ = 68785274880.

The previous prime is 322425378227. The next prime is 322425378241. The reversal of 322425378240 is 42873524223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 322425378192 and 322425378201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322425378241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1337864520 + ... + 1337864760.

Almost surely, 2322425378240 is an apocalyptic number.

322425378240 is a gapful number since it is divisible by the number (30) 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 322425378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637300224000).

322425378240 is an abundant number, since it is smaller than the sum of its proper divisors (952175069760).

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

322425378240 is a wasteful number, since it uses less digits than its factorization.

322425378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 322425378240 in words is "three hundred twenty-two billion, four hundred twenty-five million, three hundred seventy-eight thousand, two hundred forty".