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41354245314 = 23267109314591
BaseRepresentation
bin100110100000111001…
…111011010011000010
310221202001022022211100
4212200321323103002
51134143141322224
630555312555230
72662540166604
oct464071732302
9127661268740
1041354245314
11165a1436648
128021552b16
133b90801055
1420043ad174
15112083eac9
hex9a0e7b4c2

41354245314 has 48 divisors (see below), whose sum is σ = 91772778240. Its totient is φ = 13454385120.

The previous prime is 41354245301. The next prime is 41354245343.

41354245314 is a `hidden beast` number, since 41 + 3 + 542 + 45 + 31 + 4 = 666.

41354245314 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25842 + ... + 288749.

It is an arithmetic number, because the mean of its divisors is an integer number (1911932880).

Almost surely, 241354245314 is an apocalyptic number.

41354245314 is an abundant number, since it is smaller than the sum of its proper divisors (50418532926).

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

41354245314 is a wasteful number, since it uses less digits than its factorization.

41354245314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314775 (or 314772 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 41354245314 in words is "forty-one billion, three hundred fifty-four million, two hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 67 109 134 201 218 327 402 603 654 981 1206 1962 7303 14606 21909 43818 65727 131454 314591 629182 943773 1887546 2831319 5662638 21077597 34290419 42155194 63232791 68580838 102871257 126465582 189698373 205742514 308613771 379396746 617227542 2297458073 4594916146 6892374219 13784748438 20677122657 41354245314