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2132233515440 = 24573807559849
BaseRepresentation
bin11111000001110011000…
…001010111000110110000
321112211200000112102202222
4133001303001113012300
5234413303234443230
64311311244100212
7310022506561160
oct37016301270660
97484600472688
102132233515440
11752303261146
122a52a8834668
131260b80a3672
14752b483c5a0
153a6e6e7d6e5
hex1f0730571b0

2132233515440 has 40 divisors (see below), whose sum is σ = 5665649056800. Its totient is φ = 731051490816.

The previous prime is 2132233515371. The next prime is 2132233515481. The reversal of 2132233515440 is 445153322312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2132233515440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1903779365 + ... + 1903780484.

It is an arithmetic number, because the mean of its divisors is an integer number (141641226420).

Almost surely, 22132233515440 is an apocalyptic number.

2132233515440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132233515440 is an abundant number, since it is smaller than the sum of its proper divisors (3533415541360).

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

2132233515440 is a wasteful number, since it uses less digits than its factorization.

2132233515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807559869 (or 3807559863 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2132233515440 its reverse (445153322312), we get a palindrome (2577386837752).

The spelling of 2132233515440 in words is "two trillion, one hundred thirty-two billion, two hundred thirty-three million, five hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3807559849 7615119698 15230239396 19037799245 26652918943 30460478792 38075598490 53305837886 60920957584 76151196980 106611675772 133264594715 152302393960 213223351544 266529189430 304604787920 426446703088 533058378860 1066116757720 2132233515440