Search a number
-
+
114531435016020 = 223251157844159099
BaseRepresentation
bin11010000010101001101101…
…011111111110111101010100
3120000112002122121222110120100
4122002221231133332331110
5110002440334331003040
61043331003114334100
733060423504603351
oct3202515537767524
9500462577873510
10114531435016020
1133547566269040
1210a18b61a2a330
134bba36399b649
14203d4cb337628
15d3935add9b30
hex682a6d7fef54

114531435016020 has 72 divisors (see below), whose sum is σ = 378994930423200. Its totient is φ = 27765196367040.

The previous prime is 114531435016003. The next prime is 114531435016081. The reversal of 114531435016020 is 20610534135411.

114531435016020 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 1 + 43 + 5 + 0 + 1 + 602 + 0 = 666.

114531435016020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28922077570 + ... + 28922081529.

It is an arithmetic number, because the mean of its divisors is an integer number (5263818478100).

Almost surely, 2114531435016020 is an apocalyptic number.

114531435016020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114531435016020 is an abundant number, since it is smaller than the sum of its proper divisors (264463495407180).

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

114531435016020 is a wasteful number, since it uses less digits than its factorization.

114531435016020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57844159125 (or 57844159120 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 114531435016020 in words is "one hundred fourteen trillion, five hundred thirty-one billion, four hundred thirty-five million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 57844159099 115688318198 173532477297 231376636396 289220795495 347064954594 520597431891 578441590990 636285750089 694129909188 867662386485 1041194863782 1156883181980 1272571500178 1735324772970 1908857250267 2082389727564 2545143000356 2602987159455 3181428750445 3470649545940 3817714500534 5205974318910 5726571750801 6362857500890 7635429001068 9544286251335 10411948637820 11453143501602 12725715001780 19088572502670 22906287003204 28632858754005 38177145005340 57265717508010 114531435016020