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130443432000434 = 27475960110135519
BaseRepresentation
bin11101101010001100111010…
…011011010111101110110010
3122002212021022001112212210022
4131222030322123113232302
5114044141122043003214
61141232515124403442
736322140563420450
oct3552147233275662
9562767261485708
10130443432000434
1138621826790363
1212768989546582
1357a29bbcc4267
14242d6d26699d0
1510131ede02d8e
hex76a33a6d7bb2

130443432000434 has 128 divisors (see below), whose sum is σ = 232904164147200. Its totient is φ = 53635277836800.

The previous prime is 130443432000391. The next prime is 130443432000491. The reversal of 130443432000434 is 434000234344031.

It is a super-3 number, since 3×1304434320004343 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130443432000394 and 130443432000403.

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, 23635335527 + ... + 23635341045.

It is an arithmetic number, because the mean of its divisors is an integer number (1819563782400).

Almost surely, 2130443432000434 is an apocalyptic number.

130443432000434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130443432000434 is a deficient number, since it is larger than the sum of its proper divisors (102460732146766).

130443432000434 is a wasteful number, since it uses less digits than its factorization.

130443432000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 130443432000434 its reverse (434000234344031), we get a palindrome (564443666344465).

The spelling of 130443432000434 in words is "one hundred thirty trillion, four hundred forty-three billion, four hundred thirty-two million, four hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 7 14 47 59 94 118 329 413 601 658 826 1013 1202 2026 2773 4207 5519 5546 7091 8414 11038 14182 19411 28247 35459 38633 38822 47611 56494 59767 70918 77266 95222 119534 197729 248213 259393 325621 333277 395458 418369 496426 518786 608813 651242 666554 836738 1217626 1666573 1815751 2279347 2809049 3316919 3333146 3631502 4261691 4558694 5590747 5618098 6633838 8523382 11181494 11666011 15304187 19663343 23218433 23332022 28614211 30608374 35919967 39135229 39326686 46436866 57228422 71839934 78270458 107129309 155895193 195698221 200299477 214258618 251439769 262765109 311790386 329854073 391396442 400598954 502879538 525530218 659708146 1091266351 1369887547 1688238449 1839355763 2182532702 2308978511 2739775094 3360038947 3376476898 3678711526 4617957022 6720077894 9197816387 11817669143 15503141431 18395632774 23520272629 23635338286 31006282862 47040545258 64384714709 108521990017 128769429418 157921830509 198242297873 217043980034 315843661018 396484595746 1105452813563 1387696085111 2210905627126 2775392170222 9317388000031 18634776000062 65221716000217 130443432000434