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145356831488 = 2811219312257
BaseRepresentation
bin1000011101011111110…
…0010011101100000000
3111220012011112010002102
42013113330103230000
54340142322101423
6150435341205532
713334035452551
oct2072774235400
9456164463072
10145356831488
1156711161a00
12242078608a8
131092662937b
14706cc58328
153bab160c28
hex21d7f13b00

145356831488 has 324 divisors, whose sum is σ = 348234256440. Its totient is φ = 60338995200.

The previous prime is 145356831439. The next prime is 145356831553. The reversal of 145356831488 is 884138653541.

It is a super-2 number, since 2×1453568314882 (a number of 23 digits) contains 22 as substring.

Its product of digits (11059200) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565590656 + ... + 565590912.

Almost surely, 2145356831488 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 145356831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174117128220).

145356831488 is an abundant number, since it is smaller than the sum of its proper divisors (202877424952).

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

145356831488 is a wasteful number, since it uses less digits than its factorization.

145356831488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 320 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 56.

The spelling of 145356831488 in words is "one hundred forty-five billion, three hundred fifty-six million, eight hundred thirty-one thousand, four hundred eighty-eight".