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145313206644660 = 223517987114432573
BaseRepresentation
bin100001000010100101011110…
…000100000010111110110100
3201001111210210012220202101220
4201002211132010002332310
5123021302421400112120
61233015544320550340
742415350503432025
oct4102453604027664
9631453705822356
10145313206644660
1142334a9193066a
121436a80aa823b0
136310c90747ab2
1427c52a7b72c4c
1511bede3a3bb40
hex84295e102fb4

145313206644660 has 96 divisors (see below), whose sum is σ = 430854592476672. Its totient is φ = 36467068323840.

The previous prime is 145313206644559. The next prime is 145313206644679. The reversal of 145313206644660 is 66446602313541.

145313206644660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453132066446602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852134 + ... + 17284706.

It is an arithmetic number, because the mean of its divisors is an integer number (4488068671632).

Almost surely, 2145313206644660 is an apocalyptic number.

145313206644660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313206644660 is an abundant number, since it is smaller than the sum of its proper divisors (285541385832012).

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

145313206644660 is a wasteful number, since it uses less digits than its factorization.

145313206644660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442473 (or 14442471 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 145313206644660 in words is "one hundred forty-five trillion, three hundred thirteen billion, two hundred six million, six hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 9871 19742 29613 39484 49355 59226 98710 118452 148065 167807 197420 296130 335614 503421 592260 671228 839035 1006842 1678070 2013684 2517105 3356140 5034210 10068420 14432573 28865146 43297719 57730292 72162865 86595438 144325730 173190876 216488595 245353741 288651460 432977190 490707482 736061223 865954380 981414964 1226768705 1472122446 2453537410 2944244892 3680306115 4907074820 7360612230 14721224460 142463928083 284927856166 427391784249 569855712332 712319640415 854783568498 1424639280830 1709567136996 2136958921245 2421886777411 2849278561660 4273917842490 4843773554822 7265660332233 8547835684980 9687547109644 12109433887055 14531320664466 24218867774110 29062641328932 36328301661165 48437735548220 72656603322330 145313206644660