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145310015344 = 241323759103239
BaseRepresentation
bin1000011101010100100…
…1101101111101110000
3111220001220102121102011
42013111021231331300
54340043330442334
6150430545532304
713332626515414
oct2072511557560
9456056377364
10145310015344
115669779627a
12241b4044094
1310919a17200
14706694cd44
153ba6eb4564
hex21d526df70

145310015344 has 240 divisors, whose sum is σ = 322843622400. Its totient is φ = 63258983424.

The previous prime is 145310015341. The next prime is 145310015353. The reversal of 145310015344 is 443510013541.

It is a super-2 number, since 2×1453100153442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145310015341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607991577 + ... + 607991815.

It is an arithmetic number, because the mean of its divisors is an integer number (1345181760).

Almost surely, 2145310015344 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 145310015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161421811200).

145310015344 is an abundant number, since it is smaller than the sum of its proper divisors (177533607056).

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

145310015344 is a wasteful number, since it uses less digits than its factorization.

145310015344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 145310015344 its reverse (443510013541), we get a palindrome (588820028885).

The spelling of 145310015344 in words is "one hundred forty-five billion, three hundred ten million, fifteen thousand, three hundred forty-four".