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514533224340 = 2232533781110459
BaseRepresentation
bin1110111110011001001…
…00011110111110010100
31211012002201001000002200
413133030210132332110
531412231001134330
61032212344404500
752113420146652
oct7371444367624
91735081030080
10514533224340
11189237656003
1283878176730
133969c0754c5
141ac9145ddd2
15d5b6993a60
hex77cc91ef94

514533224340 has 144 divisors (see below), whose sum is σ = 1567462128960. Its totient is φ = 136619965440.

The previous prime is 514533224339. The next prime is 514533224353. The reversal of 514533224340 is 43422335415.

514533224340 is a `hidden beast` number, since 5 + 1 + 45 + 332 + 243 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514533224295 and 514533224304.

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 47 ways as a sum of consecutive naturals, for example, 49190031 + ... + 49200489.

Almost surely, 2514533224340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514533224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783731064480).

514533224340 is an abundant number, since it is smaller than the sum of its proper divisors (1052928904620).

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

514533224340 is a wasteful number, since it uses less digits than its factorization.

514533224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 514533224340 its reverse (43422335415), we get a palindrome (557955559755).

The spelling of 514533224340 in words is "five hundred fourteen billion, five hundred thirty-three million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 811 1011 1348 1622 1685 2022 2433 3033 3244 3370 4044 4055 4866 5055 6066 6740 7299 8110 9732 10110 10459 12132 12165 14598 15165 16220 20220 20918 24330 29196 30330 31377 36495 41836 48660 52295 60660 62754 72990 94131 104590 125508 145980 156885 188262 209180 273307 313770 376524 470655 546614 627540 819921 941310 1093228 1366535 1639842 1882620 2459763 2733070 3279684 3524683 4099605 4919526 5466140 7049366 8199210 8482249 9839052 10574049 12298815 14098732 16398420 16964498 17623415 21148098 24597630 25446747 31722147 33928996 35246830 42296196 42411245 49195260 50893494 52870245 63444294 70493660 76340241 84822490 101786988 105740490 126888588 127233735 152680482 158610735 169644980 211480980 254467470 305360964 317221470 381701205 508934940 634442940 763402410 1526804820 2858517913 5717035826 8575553739 11434071652 14292589565 17151107478 25726661217 28585179130 34302214956 42877768695 51453322434 57170358260 85755537390 102906644868 128633306085 171511074780 257266612170 514533224340