Search a number
-
+
145320501652062 = 231121438131391849
BaseRepresentation
bin100001000010101100010000…
…111000010010101001011110
3201001112111121121202112021020
4201002230100320102221132
5123021412341410331222
61233023152234145010
742416026334115132
oct4102542070225136
9631474547675236
10145320501652062
1142338095759700
1214370105b82166
136311883bc1219
1427c579a9633c2
1511c01be1ca65c
hex842b10e12a5e

145320501652062 has 48 divisors (see below), whose sum is σ = 319467355376400. Its totient is φ = 44036177806720.

The previous prime is 145320501652033. The next prime is 145320501652129. The reversal of 145320501652062 is 260256105023541.

It is a super-2 number, since 2×1453205016520622 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 103712314 + ... + 105104162.

It is an arithmetic number, because the mean of its divisors is an integer number (6655569903675).

Almost surely, 2145320501652062 is an apocalyptic number.

145320501652062 is an abundant number, since it is smaller than the sum of its proper divisors (174146853724338).

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

145320501652062 is a wasteful number, since it uses less digits than its factorization.

145320501652062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535689 (or 1535678 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 145320501652062 in words is "one hundred forty-five trillion, three hundred twenty billion, five hundred one million, six hundred fifty-two thousand, sixty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 143813 287626 431439 862878 1391849 1581943 2783698 3163886 4175547 4745829 8351094 9491658 15310339 17401373 30620678 34802746 45931017 52204119 91862034 104408238 168413729 336827458 505241187 1010482374 200165980237 400331960474 600497940711 1200995881422 2201825782607 4403651565214 6605477347821 13210954695642 24220083608677 48440167217354 72660250826031 145320501652062