Search a number
-
+
12542022089440 = 255199474356563
BaseRepresentation
bin1011011010000010101011…
…0001010111101011100000
31122102000011002021010202221
42312200222301113223200
53120442030123330230
642401420404320424
72433062666525224
oct266405261275340
948360132233687
1012542022089440
113aa6050555038
1214a68899a3114
136cc9277cc72c
14315073b78784
1516b3a7d1327a
hexb682ac57ae0

12542022089440 has 96 divisors (see below), whose sum is σ = 31222971400320. Its totient is φ = 4747746415104.

The previous prime is 12542022089419. The next prime is 12542022089461. The reversal of 12542022089440 is 4498022024521.

It is an interprime number because it is at equal distance from previous prime (12542022089419) and next prime (12542022089461).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700599 + ... + 5057161.

It is an arithmetic number, because the mean of its divisors is an integer number (325239285420).

Almost surely, 212542022089440 is an apocalyptic number.

12542022089440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12542022089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611485700160).

12542022089440 is an abundant number, since it is smaller than the sum of its proper divisors (18680949310880).

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

12542022089440 is a wasteful number, since it uses less digits than its factorization.

12542022089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357544 (or 4357536 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 12542022089440 in words is "twelve trillion, five hundred forty-two billion, twenty-two million, eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 947 1520 1894 3040 3788 4735 7576 9470 15152 17993 18940 30304 35986 37880 71972 75760 89965 143944 151520 179930 287888 359860 575776 719720 1439440 2878880 4356563 8713126 17426252 21782815 34852504 43565630 69705008 82774697 87131260 139410016 165549394 174262520 331098788 348525040 413873485 662197576 697050080 827746970 1324395152 1655493940 2648790304 3310987880 4125665161 6621975760 8251330322 13243951520 16502660644 20628325805 33005321288 41256651610 66010642576 78387638059 82513303220 132021285152 156775276118 165026606440 313550552236 330053212880 391938190295 627101104472 660106425760 783876380590 1254202208944 1567752761180 2508404417888 3135505522360 6271011044720 12542022089440