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132220303411440 = 24351987631143933
BaseRepresentation
bin11110000100000011110000…
…001101111000100011110000
3122100011010201021120222201210
4132010003300031320203300
5114312244140133131230
61145113100245400120
736564413243256066
oct3604036015704360
9570133637528653
10132220303411440
1139147352332792
12129b5220109040
1358a1423636b3a
1424916d5436036
1510445481eaeb0
hex7840f03788f0

132220303411440 has 160 divisors (see below), whose sum is σ = 410163538853376. Its totient is φ = 35234616775680.

The previous prime is 132220303411423. The next prime is 132220303411447. The reversal of 132220303411440 is 44114303022231.

132220303411440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 132220303411398 and 132220303411407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220303411447) 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, 3009567714 + ... + 3009611646.

Almost surely, 2132220303411440 is an apocalyptic number.

132220303411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220303411440 is an abundant number, since it is smaller than the sum of its proper divisors (277943235441936).

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

132220303411440 is a wasteful number, since it uses less digits than its factorization.

132220303411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52247 (or 52241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132220303411440 its reverse (44114303022231), we get a palindrome (176334606433671).

The spelling of 132220303411440 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1987 3974 5961 6311 7948 9935 11922 12622 15896 18933 19870 23844 25244 29805 31555 31792 37866 39740 43933 47688 50488 59610 63110 75732 79480 87866 94665 95376 100976 119220 126220 131799 151464 158960 175732 189330 219665 238440 252440 263598 302928 351464 378660 439330 476880 504880 527196 658995 702928 757320 878660 1054392 1317990 1514640 1757320 2108784 2635980 3514640 5271960 10543920 12539957 25079914 37619871 50159828 62699785 75239742 87294871 100319656 125399570 150479484 174589742 188099355 200639312 250799140 261884613 277261163 300958968 349179484 376198710 436474355 501598280 523769226 554522326 601917936 698358968 752397420 831783489 872948710 1003196560 1047538452 1109044652 1309423065 1386305815 1396717936 1504794840 1663566978 1745897420 2095076904 2218089304 2618846130 2772611630 3009589680 3327133956 3491794840 4158917445 4190153808 4436178608 5237692260 5545223260 6654267912 6983589680 8317834890 10475384520 11090446520 13308535824 16635669780 20950769040 22180893040 33271339560 66542679120 550917930881 1101835861762 1652753792643 2203671723524 2754589654405 3305507585286 4407343447048 5509179308810 6611015170572 8263768963215 8814686894096 11018358617620 13222030341144 16527537926430 22036717235240 26444060682288 33055075852860 44073434470480 66110151705720 132220303411440