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13006234141050 = 2352293780809159
BaseRepresentation
bin1011110101000011111111…
…1101110100000101111010
31201001101100211010201002110
42331100333331310011322
53201043231420003200
643354551555513150
72511445415050623
oct275207775640572
951041324121073
1013006234141050
114164a05112187
1215608415b87b6
13734637403287
1432d70dd82a4a
151784c6b1eb50
hexbd43ff7417a

13006234141050 has 96 divisors (see below), whose sum is σ = 34269548572800. Its totient is φ = 3258225250560.

The previous prime is 13006234141007. The next prime is 13006234141067. The reversal of 13006234141050 is 5014143260031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13006234140999 and 13006234141017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40243630 + ... + 40565529.

It is an arithmetic number, because the mean of its divisors is an integer number (356974464300).

Almost surely, 213006234141050 is an apocalyptic number.

13006234141050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13006234141050 is an abundant number, since it is smaller than the sum of its proper divisors (21263314431750).

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

13006234141050 is a wasteful number, since it uses less digits than its factorization.

13006234141050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80809240 (or 80809235 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13006234141050 in words is "thirteen trillion, six billion, two hundred thirty-four million, one hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 37 50 58 74 75 87 111 145 150 174 185 222 290 370 435 555 725 870 925 1073 1110 1450 1850 2146 2175 2775 3219 4350 5365 5550 6438 10730 16095 26825 32190 53650 80475 160950 80809159 161618318 242427477 404045795 484854954 808091590 1212137385 2020228975 2343465611 2424274770 2989938883 4040457950 4686931222 5979877766 6060686925 7030396833 8969816649 11717328055 12121373850 14060793666 14949694415 17939633298 23434656110 29899388830 35151984165 44849083245 58586640275 70303968330 74748472075 86708227607 89698166490 117173280550 149496944150 173416455214 175759920825 224245416225 260124682821 351519841650 433541138035 448490832450 520249365642 867082276070 1300623414105 2167705690175 2601246828210 4335411380350 6503117070525 13006234141050