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130461357114 = 232112235714561
BaseRepresentation
bin111100110000000011…
…0100101010000111010
3110110202002001121121100
41321200012211100322
54114141101411424
6135533315352230
712265645144554
oct1714006452072
9413662047540
10130461357114
1150368042600
122134b2b2676
13c3c16499ca
1464588824d4
1535d85e6dc9
hex1e601a543a

130461357114 has 144 divisors (see below), whose sum is σ = 324846954432. Its totient is φ = 37740384000.

The previous prime is 130461357101. The next prime is 130461357127. The reversal of 130461357114 is 411753164031.

130461357114 is a `hidden beast` number, since 1 + 30 + 4 + 613 + 5 + 7 + 1 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130461357101) and next prime (130461357127).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28601394 + ... + 28605954.

It is an arithmetic number, because the mean of its divisors is an integer number (2255881628).

Almost surely, 2130461357114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130461357114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162423477216).

130461357114 is an abundant number, since it is smaller than the sum of its proper divisors (194385597318).

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

130461357114 is a wasteful number, since it uses less digits than its factorization.

130461357114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 130461357114 in words is "one hundred thirty billion, four hundred sixty-one million, three hundred fifty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 571 726 759 1089 1142 1518 1713 2178 2277 2783 3426 4554 4561 5139 5566 6281 8349 9122 10278 12562 13133 13683 16698 18843 25047 26266 27366 37686 39399 41049 50094 50171 56529 69091 78798 82098 100342 104903 113058 118197 138182 144463 150513 207273 209806 236394 288926 301026 314709 414546 433389 451539 551881 621819 629418 866778 903078 944127 1103762 1153933 1243638 1300167 1589093 1655643 1888254 2307866 2600334 2604331 3178186 3311286 3461799 4767279 4966929 5208662 6923598 7812993 9534558 9933858 10385397 12693263 14301837 15625986 20770794 23438979 25386526 28603674 28647641 38079789 46877958 57295282 59899613 76159578 85942923 114239367 119799226 171885846 179698839 228478734 257828769 315124051 359397678 515657538 539096517 630248102 658895743 945372153 1078193034 1317791486 1890744306 1976687229 2836116459 3953374458 5672232918 5930061687 7247853173 11860123374 14495706346 21743559519 43487119038 65230678557 130461357114