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145320213416 = 23717313487691
BaseRepresentation
bin1000011101010111000…
…0100111101110101000
3111220002121121201112112
42013111300213232220
54340103433312131
6150431552301452
713333112301410
oct2072560475650
9456077551475
10145320213416
11566a2521234
12241b7541888
131091bb77c81
147068045640
153ba7d2b02b
hex21d5c27ba8

145320213416 has 64 divisors (see below), whose sum is σ = 330772222080. Its totient is φ = 58429163520.

The previous prime is 145320213391. The next prime is 145320213431. The reversal of 145320213416 is 614312023541.

145320213416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453202134162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54131 + ... + 541821.

It is an arithmetic number, because the mean of its divisors is an integer number (5168315970).

Almost surely, 2145320213416 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 145320213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165386111040).

145320213416 is an abundant number, since it is smaller than the sum of its proper divisors (185452008664).

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

145320213416 is a wasteful number, since it uses less digits than its factorization.

145320213416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488034 (or 488030 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 145320213416 its reverse (614312023541), we get a palindrome (759632236957).

The spelling of 145320213416 in words is "one hundred forty-five billion, three hundred twenty million, two hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 313 476 626 952 1252 2191 2504 4382 5321 8764 10642 17528 21284 37247 42568 74494 148988 297976 487691 975382 1950764 3413837 3901528 6827674 8290747 13655348 16581494 27310696 33162988 58035229 66325976 116070458 152647283 232140916 305294566 464281832 610589132 1068530981 1221178264 2137061962 2595003811 4274123924 5190007622 8548247848 10380015244 18165026677 20760030488 36330053354 72660106708 145320213416