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145711675340 = 225731117971171
BaseRepresentation
bin1000011110110100010…
…1111011011111001100
3111221002220020001100022
42013231011323133030
54341404142102330
6150534454521312
713345604543000
oct2075505733714
9457086201308
10145711675340
1156883495390
12242a6666238
1310981cba24a
1470a4026700
153bcc3a4ae5
hex21ed17b7cc

145711675340 has 384 divisors, whose sum is σ = 416789452800. Its totient is φ = 42268262400.

The previous prime is 145711675339. The next prime is 145711675363. The reversal of 145711675340 is 43576117541.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 145711675291 and 145711675300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124432955 + ... + 124434125.

It is an arithmetic number, because the mean of its divisors is an integer number (1085389200).

Almost surely, 2145711675340 is an apocalyptic number.

145711675340 is a gapful number since it is divisible by the number (10) 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 145711675340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208394726400).

145711675340 is an abundant number, since it is smaller than the sum of its proper divisors (271077777460).

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

145711675340 is a wasteful number, since it uses less digits than its factorization.

145711675340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 145711675340 in words is "one hundred forty-five billion, seven hundred eleven million, six hundred seventy-five thousand, three hundred forty".