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1063020015414 = 234717371914827
BaseRepresentation
bin11110111100000001110…
…11100010111100110110
310202121211200200220120000
433132000323202330312
5114404031110443124
62132202240052130
7136541425021260
oct17360073427466
93677750626500
101063020015414
1137a9080a4265
1215202b304046
137931c5c76a6
1439644032b30
151c9b91b36c9
hexf780ee2f36

1063020015414 has 160 divisors (see below), whose sum is σ = 2883331883520. Its totient is φ = 285757984512.

The previous prime is 1063020015373. The next prime is 1063020015437. The reversal of 1063020015414 is 4145100203601.

It is a happy number.

1063020015414 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 200 + 15 + 414 = 666.

It is a super-3 number, since 3×10630200154143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71687469 + ... + 71702295.

It is an arithmetic number, because the mean of its divisors is an integer number (18020824272).

Almost surely, 21063020015414 is an apocalyptic number.

1063020015414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063020015414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441665941760).

1063020015414 is an abundant number, since it is smaller than the sum of its proper divisors (1820311868106).

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

1063020015414 is a wasteful number, since it uses less digits than its factorization.

1063020015414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1063020015414 in words is "one trillion, sixty-three billion, twenty million, fifteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 3719 6426 7438 9639 11157 14827 19278 22314 26033 29654 33471 44481 52066 63223 66942 78099 88962 100413 103789 126446 133443 156198 189669 200826 207578 234297 252059 266886 301239 311367 379338 400329 442561 468594 504118 569007 602478 622734 702891 756177 800658 885122 934101 1138014 1200987 1327683 1405782 1512354 1707021 1764413 1868202 2108673 2268531 2401974 2655366 2802303 3414042 3528826 3983049 4217346 4537062 5121063 5293239 5604606 6805593 7966098 8406909 10242126 10586478 11949147 13611186 15879717 16813818 20416779 23898294 31759434 35847441 40833558 47639151 55141613 71694882 95278302 110283226 142917453 165424839 285834906 330849678 385991291 496274517 771982582 937407421 992549034 1157973873 1488823551 1874814842 2315947746 2812222263 2977647102 3473921619 4466470653 5624444526 6561851947 6947843238 8436666789 8932941306 10421764857 13123703894 16873333578 19685555841 20843529714 25310000367 31265294571 39371111682 50620000734 59056667523 62530589142 75930001101 118113335046 151860002202 177170002569 354340005138 531510007707 1063020015414