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130345353544 = 237431457479
BaseRepresentation
bin111100101100100110…
…0000100000101001000
3110110102222210000121211
41321121030010011020
54113421402303134
6135514013142504
712263036140000
oct1713114040510
9413388700554
10130345353544
115030861038a
122131848aa34
13c3a35c1b43
1464472c7000
1535cd330764
hex1e59304148

130345353544 has 160 divisors (see below), whose sum is σ = 295570483200. Its totient is φ = 53829377280.

The previous prime is 130345353539. The next prime is 130345353559. The reversal of 130345353544 is 445353543031.

It is a super-2 number, since 2×1303453535442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130345353497 and 130345353506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272119497 + ... + 272119975.

It is an arithmetic number, because the mean of its divisors is an integer number (1847315520).

Almost surely, 2130345353544 is an apocalyptic number.

130345353544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130345353544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147785241600).

130345353544 is an abundant number, since it is smaller than the sum of its proper divisors (165225129656).

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

130345353544 is an equidigital number, since it uses as much as digits as its factorization.

130345353544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 130345353544 its reverse (445353543031), we get a palindrome (575698896575).

The spelling of 130345353544 in words is "one hundred thirty billion, three hundred forty-five million, three hundred fifty-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 457 479 686 868 914 958 1372 1519 1736 1828 1916 2401 2744 3038 3199 3353 3656 3832 4802 6076 6398 6706 9604 10633 12152 12796 13412 14167 14849 19208 21266 22393 23471 25592 26824 28334 29698 42532 44786 46942 56668 59396 74431 85064 89572 93884 99169 103943 113336 118792 148862 156751 164297 179144 187768 198338 207886 218903 297724 313502 328594 396676 415772 437806 595448 627004 657188 694183 727601 793352 831544 875612 1097257 1150079 1254008 1314376 1388366 1455202 1532321 1751224 2194514 2300158 2776732 2910404 3064642 4389028 4600316 4859281 5093207 5553464 5820808 6129284 6785993 8778056 9200632 9718562 10186414 10726247 12258568 13571986 19437124 20372828 21452494 27143972 34014967 35652449 38874248 40745656 42904988 47501951 54287944 68029934 71304898 75083729 85809976 95003902 136059868 142609796 150167458 190007804 272119736 285219592 300334916 332513657 380015608 525586103 600669832 665027314 1051172206 1330054628 2102344412 2327595599 2660109256 4204688824 4655191198 9310382396 16293169193 18620764792 32586338386 65172676772 130345353544