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340135525521 = 321121601195089
BaseRepresentation
bin1001111001100011010…
…10000011110010010001
31012111221121222222022100
410330301222003302101
521033044143304041
6420131152431013
733400606156311
oct4746152036221
91174847888270
10340135525521
11121283700700
1255b06848469
13260c7cb298c
141266970b441
158cab0166b6
hex4f31a83c91

340135525521 has 36 divisors (see below), whose sum is σ = 540371597220. Its totient is φ = 206012928000.

The previous prime is 340135525519. The next prime is 340135525523. The reversal of 340135525521 is 125525531043.

340135525521 is a `hidden beast` number, since 3 + 40 + 13 + 5 + 52 + 552 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (340135525519) and next prime (340135525523).

It can be written as a sum of positive squares in 2 ways, for example, as 248302890000 + 91832635521 = 498300^2 + 303039^2 .

It is not a de Polignac number, because 340135525521 - 21 = 340135525519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340135525523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1645945 + ... + 1841033.

It is an arithmetic number, because the mean of its divisors is an integer number (15010322145).

Almost surely, 2340135525521 is an apocalyptic number.

It is an amenable number.

340135525521 is a deficient number, since it is larger than the sum of its proper divisors (200236071699).

340135525521 is a wasteful number, since it uses less digits than its factorization.

340135525521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196718 (or 196704 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 340135525521 in words is "three hundred forty billion, one hundred thirty-five million, five hundred twenty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1601 4803 14409 17611 52833 158499 193721 195089 581163 585267 1743489 1755801 2145979 6437937 19313811 23605769 70817307 212451921 312337489 937012467 2811037401 3435712379 10307137137 30921411411 37792836169 113378508507 340135525521