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431928816714 = 233612413491559
BaseRepresentation
bin1100100100100001111…
…01101011010001001010
31112021212212021022111000
412102100331223101022
524034042234113324
6530231513315430
743130412236133
oct6222075532112
91467785238430
10431928816714
111571a8613a2a
126b864105b76
13319664b64b5
1416c96856c8a
15b37ea239c9
hex6490f6b44a

431928816714 has 128 divisors (see below), whose sum is σ = 983062080000. Its totient is φ = 140534092800.

The previous prime is 431928816707. The next prime is 431928816773. The reversal of 431928816714 is 417618829134.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277054267 + ... + 277055825.

It is an arithmetic number, because the mean of its divisors is an integer number (7680172500).

Almost surely, 2431928816714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431928816714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040000).

431928816714 is an abundant number, since it is smaller than the sum of its proper divisors (551133263286).

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

431928816714 is a wasteful number, since it uses less digits than its factorization.

431928816714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 431928816714 in words is "four hundred thirty-one billion, nine hundred twenty-eight million, eight hundred sixteen thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 241 349 366 482 549 698 723 1047 1098 1446 1559 1647 2094 2169 3118 3141 3294 4338 4677 6282 6507 9354 9423 13014 14031 14701 18846 21289 28062 29402 42093 42578 44103 63867 84109 84186 88206 95099 127734 132309 168218 190198 191601 252327 264618 285297 375719 383202 396927 504654 544091 570594 574803 751438 756981 793854 855891 1088182 1127157 1149606 1513962 1632273 1711782 2254314 2270943 2567673 3264546 3381471 4541886 4896819 5130649 5135346 6762942 9793638 10144413 10261298 14690457 15391947 20288826 22918859 29380914 30783894 33189551 45837718 46175841 66379102 68756577 92351682 99568653 131125931 137513154 138527523 199137306 206269731 262251862 277055046 298705959 393377793 412539462 597411918 618809193 786755586 896117877 1180133379 1237618386 1792235754 2360266758 3540400137 7080800274 7998681791 15997363582 23996045373 47992090746 71988136119 143976272238 215964408357 431928816714