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145350482172 = 22372816361441
BaseRepresentation
bin1000011101011110010…
…0000101100011111100
3111220011201120112110120
42013113210011203330
54340134210412142
6150434553134540
713333630466460
oct2072744054374
9456151515416
10145350482172
1156708615635
12242056ba450
131092521538c
14706c0844a0
153baa8097ec
hex21d79058fc

145350482172 has 48 divisors (see below), whose sum is σ = 387621357312. Its totient is φ = 41526558720.

The previous prime is 145350482113. The next prime is 145350482177. The reversal of 145350482172 is 271284053541.

145350482172 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 2×1453504821722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145350482177) by changing a digit.

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, 2334972 + ... + 2396412.

It is an arithmetic number, because the mean of its divisors is an integer number (8075444944).

Almost surely, 2145350482172 is an apocalyptic number.

145350482172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145350482172 is an abundant number, since it is smaller than the sum of its proper divisors (242270875140).

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

145350482172 is a wasteful number, since it uses less digits than its factorization.

145350482172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89618 (or 89616 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 145350482172 in words is "one hundred forty-five billion, three hundred fifty million, four hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 28163 56326 61441 84489 112652 122882 168978 184323 197141 245764 337956 368646 394282 430087 591423 737292 788564 860174 1182846 1290261 1720348 2365692 2580522 5161044 1730362883 3460725766 5191088649 6921451532 10382177298 12112540181 20764354596 24225080362 36337620543 48450160724 72675241086 145350482172