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132249714000 = 2435324191459
BaseRepresentation
bin111101100101010110…
…0100111110101010000
3110122100201011120001120
41323022230213311100
54131321411322000
6140431002202240
712361162010205
oct1731254476520
9418321146046
10132249714000
11510a55745a8
122176a1b3380
13c617cc1351
1465881a7cac
1536906006a0
hex1ecab27d50

132249714000 has 160 divisors (see below), whose sum is σ = 428146942080. Its totient is φ = 35119872000.

The previous prime is 132249713971. The next prime is 132249714001. The reversal of 132249714000 is 417942231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132249714001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400271 + ... + 1491729.

It is an arithmetic number, because the mean of its divisors is an integer number (2675918388).

Almost surely, 2132249714000 is an apocalyptic number.

132249714000 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 132249714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214073471040).

132249714000 is an abundant number, since it is smaller than the sum of its proper divisors (295897228080).

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

132249714000 is a wasteful number, since it uses less digits than its factorization.

132249714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91726 (or 91710 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 132249714000 in words is "one hundred thirty-two billion, two hundred forty-nine million, seven hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 241 250 300 375 400 482 500 600 723 750 964 1000 1200 1205 1446 1500 1928 2000 2410 2892 3000 3615 3856 4820 5784 6000 6025 7230 9640 11568 12050 14460 18075 19280 24100 28920 30125 36150 48200 57840 60250 72300 90375 91459 96400 120500 144600 180750 182918 241000 274377 289200 361500 365836 457295 482000 548754 723000 731672 914590 1097508 1371885 1446000 1463344 1829180 2195016 2286475 2743770 3658360 4390032 4572950 5487540 6859425 7316720 9145900 10975080 11432375 13718850 18291800 21950160 22041619 22864750 27437700 34297125 36583600 44083238 45729500 54875400 66124857 68594250 88166476 91459000 109750800 110208095 132249714 137188500 176332952 182918000 220416190 264499428 274377000 330624285 352665904 440832380 528998856 548754000 551040475 661248570 881664760 1057997712 1102080950 1322497140 1653121425 1763329520 2204161900 2644994280 2755202375 3306242850 4408323800 5289988560 5510404750 6612485700 8265607125 8816647600 11020809500 13224971400 16531214250 22041619000 26449942800 33062428500 44083238000 66124857000 132249714000