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132661911221440 = 2651943507427751
BaseRepresentation
bin11110001010011111000010…
…000101111111010011000000
3122101201100120200121002220121
4132022133002011333103000
5114342013043233041230
61150052012441350024
736641335554566446
oct3612370205772300
9571640520532817
10132661911221440
11392a7667439617
1212a66925798314
135903c701662a3
1424a8c29530b96
151050c9281e77a
hex78a7c217f4c0

132661911221440 has 112 divisors (see below), whose sum is σ = 340260753381120. Its totient is φ = 49102768512000.

The previous prime is 132661911221423. The next prime is 132661911221479. The reversal of 132661911221440 is 44122119166231.

132661911221440 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 (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253452436 + ... + 253975315.

Almost surely, 2132661911221440 is an apocalyptic number.

132661911221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132661911221440 is an abundant number, since it is smaller than the sum of its proper divisors (207598842159680).

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

132661911221440 is a wasteful number, since it uses less digits than its factorization.

132661911221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507427830 (or 507427820 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 132661911221440 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, nine hundred eleven million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 152 160 172 190 215 304 320 344 380 430 608 688 760 817 860 1216 1376 1520 1634 1720 2752 3040 3268 3440 4085 6080 6536 6880 8170 13072 13760 16340 26144 32680 52288 65360 130720 261440 507427751 1014855502 2029711004 2537138755 4059422008 5074277510 8118844016 9641127269 10148555020 16237688032 19282254538 20297110040 21819393293 32475376064 38564509076 40594220080 43638786586 48205636345 77129018152 81188440160 87277573172 96411272690 109096966465 154258036304 162376880320 174555146344 192822545380 218193932930 308516072608 349110292688 385645090760 414568472567 436387865860 617032145216 698220585376 771290181520 829136945134 872775731720 1396441170752 1542580363040 1658273890268 1745551463440 2072842362835 3085160726080 3316547780536 3491102926880 4145684725670 6633095561072 6982205853760 8291369451340 13266191122144 16582738902680 26532382244288 33165477805360 66330955610720 132661911221440