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245152141320 = 2335194118114489
BaseRepresentation
bin1110010001010000110…
…1001101000000001000
3212102210002000010012210
43210110031031000020
513004032422010240
6304342113105120
723466045550662
oct3442415150010
9772702003183
10245152141320
1194a71aa1279
123b618b581a0
131a16b8cba68
14bc18a35532
15659c416780
hex391434d008

245152141320 has 256 divisors, whose sum is σ = 797483232000. Its totient is φ = 60084633600.

The previous prime is 245152141271. The next prime is 245152141379. The reversal of 245152141320 is 23141251542.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16912636 + ... + 16927124.

It is an arithmetic number, because the mean of its divisors is an integer number (3115168875).

Almost surely, 2245152141320 is an apocalyptic number.

245152141320 is a gapful number since it is divisible by the number (20) 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 245152141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398741616000).

245152141320 is an abundant number, since it is smaller than the sum of its proper divisors (552331090680).

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

245152141320 is a wasteful number, since it uses less digits than its factorization.

245152141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 245152141320 its reverse (23141251542), we get a palindrome (268293392862).

The spelling of 245152141320 in words is "two hundred forty-five billion, one hundred fifty-two million, one hundred forty-one thousand, three hundred twenty".