Search a number
-
+
145154898168 = 23378910394253
BaseRepresentation
bin1000011100101111100…
…1111111100011111000
3111212200002112211122120
42013023321333203320
54334234123220133
6150403325121240
713326034163640
oct2071371774370
9455602484576
10145154898168
1156618179465
12241700b9220
13108c38460b7
1470500d1520
153b98573ab3
hex21cbe7f8f8

145154898168 has 128 divisors (see below), whose sum is σ = 423464371200. Its totient is φ = 40608285696.

The previous prime is 145154898043. The next prime is 145154898197. The reversal of 145154898168 is 861898451541.

It is a super-3 number, since 3×1451548981683 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492930 + ... + 1587182.

It is an arithmetic number, because the mean of its divisors is an integer number (3308315400).

Almost surely, 2145154898168 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 145154898168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211732185600).

145154898168 is an abundant number, since it is smaller than the sum of its proper divisors (278309473032).

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

145154898168 is a wasteful number, since it uses less digits than its factorization.

145154898168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94461 (or 94457 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 60.

The spelling of 145154898168 in words is "one hundred forty-five billion, one hundred fifty-four million, eight hundred ninety-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 103 168 178 206 267 309 356 412 534 618 623 712 721 824 1068 1236 1246 1442 1869 2136 2163 2472 2492 2884 3738 4326 4984 5768 7476 8652 9167 14952 17304 18334 27501 36668 55002 64169 73336 94253 110004 128338 188506 192507 220008 256676 282759 377012 385014 513352 565518 659771 754024 770028 1131036 1319542 1540056 1979313 2262072 2639084 3958626 5278168 7917252 8388517 9708059 15834504 16777034 19416118 25165551 29124177 33554068 38832236 50331102 58248354 58719619 67108136 67956413 77664472 100662204 116496708 117439238 135912826 176158857 201324408 203869239 232993416 234878476 271825652 352317714 407738478 469756952 543651304 704635428 815476956 864017251 1409270856 1630953912 1728034502 2592051753 3456069004 5184103506 6048120757 6912138008 10368207012 12096241514 18144362271 20736414024 24192483028 36288724542 48384966056 72577449084 145154898168