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34432013142230 = 25113761932094259
BaseRepresentation
bin1111101010000110100111…
…11010011000100011010110
311111220200001012022221202112
413311003103322120203112
514003113230331022410
6201121503134111022
710152426245461454
oct765032372304326
9144820035287675
1034432013142230
11aa75597861660
123a411a364b472
131629c04037312
148707384139d4
153ea9c7db3105
hex1f50d3e988d6

34432013142230 has 128 divisors (see below), whose sum is σ = 69589492416000. Its totient is φ = 12156008186880.

The previous prime is 34432013142199. The next prime is 34432013142239. The reversal of 34432013142230 is 3224131023443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34432013142239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8084527841 + ... + 8084532099.

It is an arithmetic number, because the mean of its divisors is an integer number (543667909500).

Almost surely, 234432013142230 is an apocalyptic number.

34432013142230 is an abundant number, since it is smaller than the sum of its proper divisors (35157479273770).

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

34432013142230 is a wasteful number, since it uses less digits than its factorization.

34432013142230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34432013142230 its reverse (3224131023443), we get a palindrome (37656144165673).

The spelling of 34432013142230 in words is "thirty-four trillion, four hundred thirty-two billion, thirteen million, one hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 5 10 11 22 37 55 74 110 185 370 407 619 814 1238 2035 3095 3209 4070 4259 6190 6418 6809 8518 13618 16045 21295 22903 32090 34045 35299 42590 45806 46849 68090 70598 93698 114515 118733 157583 176495 229030 234245 237466 251933 315166 352990 468490 503866 593665 787915 1187330 1259665 1306063 1575830 1733413 1986371 2519330 2612126 2636321 3466826 3972742 5272642 6530315 8667065 9931855 13060630 13181605 13667131 17334130 19863710 21850081 26363210 27334262 28999531 43700162 57999062 68335655 73495727 97543877 109250405 136671310 144997655 146991454 150338441 195087754 218500810 289995310 300676882 367478635 487719385 505683847 734957270 751692205 808452997 975438770 1011367694 1072982647 1503384410 1616905994 2145965294 2528419235 4042264985 5056838470 5364913235 5562522317 8084529970 8459954089 10729826470 11125044634 16919908178 27812611585 42299770445 55625223170 84599540890 93059494979 186118989958 313018301293 465297474895 626036602586 930594949790 1565091506465 3130183012930 3443201314223 6886402628446 17216006571115 34432013142230