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132225461356240 = 24571248718909017
BaseRepresentation
bin11110000100001000100011…
…101001111000011011010000
3122100011122000202011201211101
4132010020203221320123100
5114312340221101344430
61145115312142154144
736564655124133040
oct3604104351703320
9570148022151741
10132225461356240
1139149559908a8a
12129b621b582954
1358a1a66116895
142491a6448d720
15104474ae50dca
hex784223a786d0

132225461356240 has 80 divisors (see below), whose sum is σ = 351370095374592. Its totient is φ = 45330810964992.

The previous prime is 132225461356229. The next prime is 132225461356271. The reversal of 132225461356240 is 42653164522231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2461789 + ... + 16447228.

Almost surely, 2132225461356240 is an apocalyptic number.

132225461356240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132225461356240 is an abundant number, since it is smaller than the sum of its proper divisors (219144634018352).

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

132225461356240 is a wasteful number, since it uses less digits than its factorization.

132225461356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18921524 (or 18921518 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 132225461356240 in words is "one hundred thirty-two trillion, two hundred twenty-five billion, four hundred sixty-one million, three hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 12487 24974 49948 62435 87409 99896 124870 174818 199792 249740 349636 437045 499480 699272 874090 998960 1398544 1748180 3496360 6992720 18909017 37818034 75636068 94545085 132363119 151272136 189090170 264726238 302544272 378180340 529452476 661815595 756360680 1058904952 1323631190 1512721360 2117809904 2647262380 5294524760 10589049520 236116895279 472233790558 944467581116 1180584476395 1652818266953 1888935162232 2361168952790 3305636533906 3777870324464 4722337905580 6611273067812 8264091334765 9444675811160 13222546135624 16528182669530 18889351622320 26445092271248 33056365339060 66112730678120 132225461356240