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145414550708 = 227229109723321
BaseRepresentation
bin1000011101101101100…
…0011111010010110100
3111220100012010112222022
42013123120133102310
54340302111110313
6150445202252312
713335336200300
oct2073330372264
9456305115868
10145414550708
11567407a5239
1224223057098
131093558815b
1470767a0d00
153bb1262c08
hex21db61f4b4

145414550708 has 72 divisors (see below), whose sum is σ = 306522445320. Its totient is φ = 60114109440.

The previous prime is 145414550707. The next prime is 145414550713. The reversal of 145414550708 is 807055414541.

It can be written as a sum of positive squares in 4 ways, for example, as 10738762384 + 134675788324 = 103628^2 + 366982^2 .

It is a super-2 number, since 2×1454145507082 (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 (145414550707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6223688 + ... + 6247008.

It is an arithmetic number, because the mean of its divisors is an integer number (4257256185).

Almost surely, 2145414550708 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 145414550708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153261222660).

145414550708 is an abundant number, since it is smaller than the sum of its proper divisors (161107894612).

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

145414550708 is a wasteful number, since it uses less digits than its factorization.

145414550708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24465 (or 24456 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 145414550708 in words is "one hundred forty-five billion, four hundred fourteen million, five hundred fifty thousand, seven hundred eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1097 1421 2194 2842 4388 5684 7679 15358 23321 30716 31813 46642 53753 63626 93284 107506 127252 163247 215012 222691 326494 445382 652988 676309 890764 1142729 1352618 1558837 2285458 2705236 3117674 4570916 4734163 6235348 9468326 18936652 25583137 33139141 51166274 66278282 102332548 132556564 179081959 358163918 716327836 741910973 1253573713 1483821946 2507147426 2967643892 5014294852 5193376811 10386753622 20773507244 36353637677 72707275354 145414550708