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234618416417 = 71129713672089
BaseRepresentation
bin1101101010000001011…
…0001110110100100001
3211102120221221110011102
43122200112032310201
512320444303311132
6255440542524145
722644030430520
oct3324026166441
9742527843142
10234618416417
1190556a85900
1239579296655
131918047bc48
14b4d9a5c4b7
15618277cc62
hex36a058ed21

234618416417 has 48 divisors (see below), whose sum is σ = 298126160640. Its totient is φ = 180715898880.

The previous prime is 234618416387. The next prime is 234618416443. The reversal of 234618416417 is 714614816432.

It is not a de Polignac number, because 234618416417 - 222 = 234614222113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234618416497) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 112310309 + ... + 112312397.

It is an arithmetic number, because the mean of its divisors is an integer number (6210961680).

Almost surely, 2234618416417 is an apocalyptic number.

It is an amenable number.

234618416417 is a deficient number, since it is larger than the sum of its proper divisors (63507744223).

234618416417 is a wasteful number, since it uses less digits than its factorization.

234618416417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3571 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The spelling of 234618416417 in words is "two hundred thirty-four billion, six hundred eighteen million, four hundred sixteen thousand, four hundred seventeen".

Divisors: 1 7 11 77 97 121 679 847 1067 1367 2089 7469 9569 11737 14623 15037 22979 82159 105259 132599 160853 165407 202633 252769 928193 1157849 1418431 1458589 1769383 2228963 2855663 10210123 15602741 16044479 19989641 24518593 31412293 112311353 171630151 219886051 276999311 345535223 1938995177 2418746561 3046992421 21328946947 33516916631 234618416417