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434446713701 = 71113372317029
BaseRepresentation
bin1100101001001110000…
…10101100001101100101
31112112101100010201210222
412110213002230031211
524104221324314301
6531325420454125
743246665064520
oct6244702541545
91475340121728
10434446713701
1115827a931230
12702473aa345
1331c78040a80
1417055005bb7
15b47aad731b
hex65270ac365

434446713701 has 48 divisors (see below), whose sum is σ = 599506266240. Its totient is φ = 304042533120.

The previous prime is 434446713691. The next prime is 434446713707. The reversal of 434446713701 is 107317644434.

It is a de Polignac number, because none of the positive numbers 2k-434446713701 is a prime.

It is a super-3 number, since 3×4344467137013 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434446713707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211855 + ... + 1528883.

It is an arithmetic number, because the mean of its divisors is an integer number (12489713880).

Almost surely, 2434446713701 is an apocalyptic number.

It is an amenable number.

434446713701 is a deficient number, since it is larger than the sum of its proper divisors (165059552539).

434446713701 is a wasteful number, since it uses less digits than its factorization.

434446713701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317134 (or 317097 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 434446713701 in words is "four hundred thirty-four billion, four hundred forty-six million, seven hundred thirteen thousand, seven hundred one".

Divisors: 1 7 11 13 37 77 91 143 259 407 481 1001 1369 2849 3367 5291 9583 15059 17797 37037 105413 124579 195767 317029 1370369 2219203 3487319 4121377 11730073 24411233 28849639 45335147 82110511 129030803 152490949 317346029 434012701 903215621 1067436643 1677400439 3038088907 4774139711 5642165113 11741803073 33418977977 39495155791 62063816243 434446713701